A. The maximum charge on the capacitor is zero.
B. The oscillation frequency is 423 kHz.
C. The energy stored in the inductor at that time is 27.9 μJ.
A. The maximum charge on the capacitor can be calculated using the formula:
Q = CV
where Q is the charge, C is the capacitance, and V is the voltage across the capacitor. Since the circuit oscillates, the voltage across the capacitor oscillates between its maximum and minimum values. At the maximum current, the voltage across the capacitor is the maximum, which can be calculated using the formula:
ω = 1/√(LC)
where ω is the angular frequency. Substituting the given values, we get:
ω = 1/√((90.0×10^-3)(1.70×10^-9)) = 2.66×10^6 rad/s
The maximum voltage across the capacitor is given by:
V = I/Z
where I is the maximum current and Z is the impedance of the circuit, which is given by:
Z = sqrt(R^2 + (XL - XC)^2)
where R is the resistance of the circuit (not given), XL is the inductive reactance, and XC is the capacitive reactance. At resonance, XL = XC, so the impedance is equal to R. Therefore, we can write:
V = IR = I(0) = 0.790A × 0 = 0
This means that at the maximum current, the charge on the capacitor is also zero. Therefore, the maximum charge on the capacitor is:
Q = CV = (1.70×10^-9)(0) = 0
B. The oscillation frequency of the circuit can be calculated using the same formula as above:
ω = 1/sqrt(LC)
Substituting the given values, we get:
ω = 1/sqrt((90.0×10^-3)(1.70×10^-9)) = 2.66×10^6 rad/s
The oscillation frequency is then:
f = ω/2π = (2.66×10^6)/(2π) ≈ 423 kHz
C. The energy stored in the inductor after 2.20 ms of oscillation can be calculated using the formula:
E = (1/2)L(I^2)
where E is the energy stored, L is the inductance, and I is the current. The current in an L-C circuit oscillates sinusoidally between its maximum and minimum values. At time t = 2.20 ms, the current has a maximum value of 0.790 A, so we can calculate the energy stored in the inductor at that time:
E = (1/2)(90.0×10^-3)(0.790^2) = 27.9 μJ
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If an object was traveling horizontally off a cliff at 9 m/s for 7 seconds, how far did it go?
The object travelled 63 meters at 9m/s for 7 seconds.
What is distance travelled?The length of the trajectory taken between the initial and final positions of the moving body is the distance traveled.
To calculate the distance traveled by an object traveling horizontally off a cliff, you can use the formula:
d = v * t
where d is the distance traveled, v is the velocity (9 m/s), and t is the time (7 seconds).
By substituting the given values into the formula, we get:
d = 9 * 7 = 63 meters
So, the object traveled 63 meters horizontally before it hit the ground after being launched off the cliff at 9 m/s for 7 seconds.
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the amount of gravitational force that acts on a space vehicle while in earth orbit is
The amount of gravitational force that acts on a space vehicle while in earth orbit is almost zero but not absolute zero.
There is no ground force or opposing natural force to gravity.
Because the earth is not a perfect sphere, the value of "g" is lowest at the equator. At the equator, its radius is at its largest. Thus, the equator is the location where g will be smallest according to the equation
g = GM/R2.
All items in the planet's gravitational field will be lost in space if gravity abruptly vanishes. We would experience levity. Essentially, if gravity is equal to zero, then there will be no acceleration caused by gravity.
Astronauts can float within their spaceship or outside during a spacewalk in microgravity. Moving heavy stuff is simple. Astronauts, for instance, can merely use their fingertips to manipulate machinery weighing hundreds of pounds.
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An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.9 MJ when the flywheel is rotating at 11000 revolutions per minute. What is the moment of inertia of the flywheel?
The moment of inertia of the flywheel is approximately 0.0337 kg·m^2.
StepsTo solve this problem, we can use the formula for rotational kinetic energy:
KE = (1/2) I ω²
where KE is the kinetic energy of the flywheel, I is its moment of inertia, and ω is its angular velocity.
We can first convert the angular velocity from revolutions per minute (rpm) to radians per second (rad/s):
ω = (11000 rpm) * (2π rad/rev) * (1 min/60 s) = 1146.13 rad/s
Next, we can plug in the values for KE and ω and solve for I:
KE = 4.9 MJ = 4.9 × 10⁶ J
ω = 1146.13 rad/s
(1/2) I ω² = KE
(1/2) I (1146.13 rad/s)² = 4.9 × 10⁶ J
I = (2 * 4.9 × 10⁶J) / (1146.13 rad/s)²
I = 0.0337 kg·m²
Therefore, the moment of inertia of the flywheel is approximately 0.0337 kg·m².
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why does conductivity increase after equivalence point
Charge is distributed within a solid sphere of radius r_0 in such a way that the charge density is a function of the radial position within the sphere of the form: rho_E(r)=rho_0(r/r_0).a) If the total charge within the sphere is Q (and positive), what is the magnitude of the electric field everywhere within the sphere in terms of Q, r_0, and the radial position r ?Express your answer in terms of the variables Q, r_0, r, and appropriate constants.b) What is the direction of the electric field everywhere within the sphere?Choose betweeni) radially inwardORii) radially outward
(a) The electric field inside the sphere is given by:
E = ρ_E(r) / 3ε₀r
E = (3Q/(4πr₀³)) * (r/r₀) / 3ε₀r
E = Q/4πε₀r₀0³
(b)The electric field at every point inside the sphere is directed radially inwards.
How to calculate the charge density?(a)The electric field generated by a charge is given by:
E=kQ/r²
Here,k is Coulomb's constant = 9 × 10⁹ Nm²/C²
From Gauss’s law,
Qenc = ε₀E×4πr²
Where ε₀ is the permittivity of free space=8.85×10⁻¹² C²/Nm².
For a uniform spherical charge distribution of radius R, Charge density can be given as :
ρ = Q/V = Q/(4/3πr³)
Q = ρ×4/3πr³
Electric Field at a distance r from the center will be given by:
E = 1/4πε₀ x Q/r²
E = 1/4πε₀ x (ρ×4/3πr³)/r²
E = ρ/3ε₀r
The charge density is given by:
ρE(r) = ρ_0(r/r_0)
ρ₀ = Q/V = Q/(4/3πr³)
ρE(r) = (Q/(4/3πr³)) x (r/r_0)
ρE(r) = (3Q/(4πr_0³)) * (r/r_0)
(a) E = Q/4πε₀r₀³ x r/r₀ x 1/3ε₀r(b) The direction of the electric field inside the sphere is radially inward.
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At Six Flags Great Adventure Amusement Park in New Jersey, a popular ride known as "Free
Fall" carries passengers up to a height of 33.5 m and drops them to the ground inside a small
cage. How fast are the passengers going at the bottom of the exhilarating journey?
At the bottom of the journey, the passengers will be travelling at a speed of approximately 39.2 m/s.
What is acceleration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration is usually denoted by the letter a in equations. It is the second derivative of position with respect to time, or the rate of change of velocity. Acceleration describes how quickly an object's speed changes with time. Acceleration can involve either an increase or decrease in speed, and it can involve either a change in direction or no change in direction.
This is because the velocity of a free falling object is equal to the square root of two times the acceleration of gravity times the height from which the object is dropped.
In this case, the height is 33.5 m, and the acceleration of gravity is 9.8 m/s2.
Therefore, the velocity at the bottom of the journey is equal to the square root of two times 9.8 m/s2 times 33.5 m, which is equal to 39.2 m/s.
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The concentration of chlorine gas in air must be reduced from 10. 0 mg/m³ to 2. 95 mg/m³. Determine the height of the absorption packed tower that should be used if the following parameters
The height of the absorption packed tower that should be used is 1.84m.
What is density?The density is the ratio of mass and volume of the matter.
The mole fraction of pollutant in gas phase at inlet, y₁ = (ρCl₂/GMW of Cl₂)/(ρair/ GMW of air)
GMW of air is 28.97, GMW of Cl₂ is 70.096, density of air is 1.205 kg/m³ and density of Cl₂ is 10mg/m³ x 10⁻⁶ kg/mg
Substitute the value, we get the mole fraction at inlet,
y₁ =3.391 x 10⁻⁶
The mole fraction at outlet where density of chlorine is 2.95 x 10⁻⁶ kg/m³ is
y₂ =1 x 10⁻⁶
Value of A =m Qg/Ql
Qg is the gas flow rate and Ql is the liquid flow rate, m is Henry's constant
A = 6.82 x (3/28.97GMW of air) / (15/18.05GMW of H₂O)
A=0.848203
Number of gas transfer unit, Nog ={ ln[y₁ -mx₂/y₂ -mx₂](1-A) +A} / (1-A)
Substitute the values, we get
Nog = 2.039
The height of an individual gas transfer unit, Hog = Hg +A.Hl
Substitute Hg =0.662 and Hl = 0.285. we get
Hog =0.9037m
Height of packed tower, Z = Hog x Nog
Substitute the value, we get
Z= 1.84m
Thus, the height of the absorption packed tower is 1.84m.
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Which two charges of a magnet will attract?
Answer:
The other end is called the south pole. When two magnets are brought together, the opposite poles will attract one another, but the like poles will repel one another. This is similar to electric charges.
Explanation:
Answer: A magnet has two ends called poles the answer are the poles
North pole and South pole
Explanation:
plz mark brainliest
What is the magnitude of the velocity of a 25 kg mass that is moving with a momentum of 100 kg*m/s?
Answer:
v= 4 m/s
Explanation:
Momenutm is, by definition, the product of mass and velocity.
\(p = mv\)
Let's replace what we know and solve for whatever's left
\(100 kg\cdot m/s = 25kg \cdot v \rightarrow v= 4 m/s\)
. how fast can the 150 a current through a 0.250 h inductor be shut off if the induced emf cannot exceed 75.0 v?
The maximum rate of change of the current through a 0.250 H inductor if the induced emf cannot exceed 75.0 V is 300.0 A/s.
What is an inductor?
An inductor is a type of passive electronic component that is commonly used in electrical circuits. It is a coil of wire that is usually wound around a core made of a magnetic material.
Inductors are often used to store energy in a magnetic field. When current flows through an inductor, it produces a magnetic field around it. When the current in the inductor is turned off, the magnetic field around it collapses and generates an emf that opposes the change in current. This is known as Lenz's law. The induced emf is given byε=−LdIdt where ε is the induced emf, L is the inductance of the inductor, and dI/dt is the rate of change of the current through the inductor. The negative sign indicates that the induced emf opposes the change in current. Given: L = 0.250 Hε = 75.0 VWe need to find the maximum rate of change of the current through the inductor. So, we can rearrange the formula for induced emf to find the rate of change of the current: dIdt=−εLdIdt=−75.0 V0.250 HdIdt=−300.0 A/s
Therefore, the maximum rate of change of the current through the inductor if the induced emf cannot exceed 75.0 V is 300.0 A/s.
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Does a neutral object contain no electric charge at all?
Bonjour à toi,
QUESTION)An electrically neutral object does not mean that it has no electrical charge. If today we find some elementary particles without electric charge (Higgs Boson, photon and gluon), the neutrality of the atom and molecules, or more globally of matter is due to various processes. An atom is electrically neutral because the electric charges that compose it compensate each other (as much negative charge, the electron, as positive, the proton). Ionic molecules arrange themselves so that the electric charges that compose them compensate each other.
Help please like actually someone help me PLEASE
The final speed of the motorcycle is: 67 m/sec
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, although velocity is a vector, speed is a scalar quantity.
Given that,
initial speed of the motorcycle, u=25 m/sec
Acceleration of the motorcycle, a = 7 m/sec²
According to the equation of motion,
v = u + at
v = 25 m/sec + (7m/sec²) × (6 sec)
v = 67 m/sec
Thus, final speed of the motorcycle is: 67 m/sec
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toge
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6. Refer to the illustration below.
90
www
R₂ 1513
www
R₂ 1013
a. what is the total power in the circuit?
b. What is the total resistance of this
circuit?
The total resistance of this circuit is 15Ω and the total power of the circuit is 60W.
The power is the ratio of the square of voltage and resistance. The total resistance is obtained from the addition of series and parallel resistance.
From the given,
Total resistance (Requ) = R₁ + R₂
R₁ is a series resistance
R₂ is the parallel resistance
R₂ = 1/15 Ω + 1/10 Ω
= 10×15 / (15+10)
= 150 / 25
= 6Ω
Parallel resistance R₂ = 6Ω
R(equivalent) = R₁ + R₂
= 9 + 6
= 15Ω
Thus, the total resistance is 15 Ω.
The total power, P = E² / R(equivalent)
E represents the voltage
R(equivalent) is the equivalent resistance
P = 30×30 / 15
= 60 watts.
Thus, the total power in the circuit is 60 watts.
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Brian is at school and wants to walk home. How far and in what direction should he travel?
A bus leaves Houston at 6am headed toward Austin at a constant speed of 54.3 miles/hr. If Austin is located 190 miles west of Houston, approximately when will the bus arrive in Austin?
resolved for the constant speed as the ratio of distance and time. We have B as the speed, the, as the distance at the at the time it is given that the bus leaves easter and other exactly six o'clock in the morning In Travis at a constant speed of 54.3 mph to Austin, which is located at a distance of 190 miles away. We want to find the arrival time. So first is that satisfying the time of travel to suffer the time from the given equation. And we have B equals distance divided by the speed. The distance is 190 miles and the speed is 54.3 mph. We get time here in terms of R. S. S 3.5, So it takes three hours and three hours and 30 minutes to travel, he said distance. So if it's if the bus departs at the at the time of six of clubs, So three hours and 30 minutes after that, it will arrive to Austin. So that means the arrival time will be nine 30 in the morning, So that's three hours and 20 minutes. Oh, after six o'clock. So I hope everything is clear.
if a source of sound is traveling toward you, the speed of the sound waves reaching you is _______________ the speed the sound waves would have had if the source were stationary.
If a source of sound is traveling toward you, the speed of the sound waves reaching you is higher than the speed the sound waves would have had if the source were stationary.
The speed of sound waves in a medium is determined by the properties of the medium itself, such as its density and elasticity. In general, sound waves travel at a specific speed in a given medium, regardless of the motion of the source.
However, when the source of sound is in motion, there is an additional component to consider: the relative motion between the source and the observer. This relative motion affects the perceived frequency of the sound waves, known as the Doppler effect.
If the source of sound is moving towards the observer, the sound waves get compressed, resulting in a higher frequency and shorter wavelength. As a result, the speed of the sound waves relative to the observer appears higher than it would be if the source were stationary.
It's important to note that the actual speed of sound in the medium remains constant. It is the perceived speed or apparent speed of the sound waves reaching the observer that is affected by the motion of the source.
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a stream is transporting particle a. the velocity of stream is decreasing, but for the moment, particle a is still moving. however, when the water drops below 50 cm/sec, particle a falls below its fall velocity and is deposited. based on this information, what is the likely particle size for this object?
The most likely size of the particle is 10 mm
What happens as the velocity of water in a stream decreases?Point bars are formed as a result of silt deposition brought on by a decrease in water velocity inside the channel bend. Where there are low gradients and a mostly fine-grained load, meandering channels can emerge.
When a particle's velocity falls to the point that the water lacks the kinetic energy to carry it, sediment deposition occurs, causing the particle to fall out of suspension. Silt is a sediment that is bigger than clay but smaller than sand.
Given is a S curve
and in this graph we can see that when the speed of the water is 50 cm/sec in the x axis propotionatily the size of the particle is 10 mm in the y axis.
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how much does a change in mass affect the kinetic energy of two balls of comparable diameter?
Answer:
Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.
In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.
2. What type of color and light did Turner use in your painting? (Please refer to the formal powerpoint for more information:
3. What is the subject of your painting? How does the subject reflect the turbulence of the times?
The subject of the painting is a seascape, with a storm raging in the background. The turbulent waves and dark clouds reflect the turbulence of the time.
What is waves ?Waves are a type of energy that moves in a periodic pattern and is created when a force is applied to a medium. Waves are characterized by their amplitude, frequency, and wavelength. They can propagate through different mediums such as air, water, and solids. Examples of waves include sound, light, and seismic. Waves are used in various scientific fields, such as physics and engineering, as well as in everyday life. For example, sound waves are used to communicate, and light waves are used for vision. Waves can also be used to measure distances, such as in radar and sonar.
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From earths atmosphere where can the carbon atom go next ?
Answer:
Carbon atoms go from the Earth's atmosphere to the hydrosphere, a layer of water near the Earth's surface.
Explanation:
When carbon reaches the hydrosphere, the greenhouse effect increases which changes the temperature of water and in turn makes thriving for organism difficult.
18.5 miles per second (30 km/sec). Choose the Earth movement that best relates to this description.
Earth rotates once every 24 hours
Earth orbits, with solar system, in the Milky Way Galaxy
Earth orbits the Sun
Earth moves with the Milky Way Galaxy through galactic space
Answer:
Earth orbits the Sun
Explanation:
Calculate the maximum absolute uncertainty for R if:
R = B - A
A = 32 +/- 2 seconds
B = 11 +/- 3 seconds
43 seconds
1 second
21 seconds
5 seconds
6 seconds
Answer:
ΔR = 5 s
Explanation:
The absolute uncertainty or error in an expression is
ΔR = | \(\frac{dR}{dB}\) | ΔB + | \(\frac{dR}{dA}\) | ΔA
the absolute value guarantees to take the unfavorable case, that is, the maximum error.
We look for the derivatives
\(\frac{dR}{dB}\) = 1
\(\frac{dR}{dA}\) = -1
we substitute
ΔR = 1 ΔB + 1 ΔA
of the data
ΔB = 3 s
ΔA = 2 s
ΔR = 3 + 2
ΔR = 5 s
How are measurements such as mass and volume different from measurements such as velocity and acceleration?
Measurements such as mass and volume are scalar quantities that only have magnitude, while measurements such as velocity and acceleration are vector quantities that have both magnitude and direction.
Scalar quantities, like mass and volume, describe physical properties of objects without considering their direction. For example, the mass of an object tells us how much matter it contains, and the volume tells us the amount of space it occupies. These measurements can be expressed using a single value and appropriate units.
On the other hand, vector quantities, like velocity and acceleration, involve both magnitude and direction. Velocity is the rate at which an object changes its position, and acceleration is the rate at which its velocity changes. These measurements require both numerical values and a specific direction to fully describe the motion of an object.
Understanding the distinction between scalar and vector quantities is crucial in accurately representing and analyzing various physical phenomena and their mathematical relationships.
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Consider a signal x[n] having the corresponding Fourier transform X(e jw
). What would be the Fourier transform of the signal y[n]=2x[n+3] Select one: X(e jw
)e j3w
2X(e jw
)e j3w
2X(e jw
)e −j3w
3X(e jw
)e j2w
−2X(e jw
)e −j3w
The Fourier transform of the signal y[n]=2x[n+3] is 2X(\(e^(^j^w^)\))\(e^(^j^3^w^)\).
When we have a signal y[n] that is obtained by scaling and shifting another signal x[n], the Fourier transform of y[n] can be determined using the properties of the Fourier transform.
In this case, the signal y[n] is obtained by scaling x[n] by a factor of 2 and shifting it by 3 units to the left (n+3).
To find the Fourier transform of y[n], we can use the time-shifting property of the Fourier transform. According to this property, if x[n] has a Fourier transform X(\(e^(^j^w^)\)), then x[n-n0] corresponds to X(\(e^(^j^w^)\)) multiplied by \(e^(^-^j^w^n^0^)\).
Applying this property to the given signal y[n]=2x[n+3], we can see that y[n] is obtained by shifting x[n] by 3 units to the left. Therefore, the Fourier transform of y[n] will be X(\(e^(^j^w^)\)) multiplied by \(e^(^j^3^w^)\), as the shift of 3 units to the left results in \(e^(^j^3^w^)\).
Finally, since y[n] is also scaled by a factor of 2, the Fourier transform of y[n] will be 2X(\(e^(^j^w^)\)) multiplied by \(e^(^j^3^w^)\), giving us the main answer: 2X(\(e^(^j^w^)\))\(e^(^j^3^w^)\).
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As a piece of metal with a hole in it cools, what happens to the diameter of the hole?
(A) It increases
(B) It decreases
(C) It remains the same
(D) insufficient data
(B) It decreases. As the metal cools, it contracts, causing a decrease in its overall dimensions, including the diameter of the hole.
As a piece of metal with a hole in it cools, the diameter of the hole decreases. This is because cooling causes the metal to contract. When the metal contracts, it pulls inward from all directions, including the material surrounding the hole. As a result, the diameter of the hole decreases. This phenomenon is due to the thermal contraction of the metal, which occurs as the temperature decreases. The extent of the contraction depends on the specific metal and its coefficient of thermal expansion. Therefore, it is expected that the hole's diameter will decrease as the metal cools.
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What do electric and magnetic fields have in common?
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
Magnetic field are a region around a magnetic material or a moving electric charge within which the force of magnetism acts. Magnetic fields are produced by moving electric charges. Everything is made up of atoms, and each atom has a nucleus made of neutrons and protons with electrons that orbit around the nucleus. Since the orbiting electrons are tiny moving charges, a small magnetic field is created around each atom.
Similarities between magnetic fields and electric fields: Magnetic fields are associated with two magnetic poles, north and south, although they are also produced by charges (but moving charges). Like pole repel unlike poles attract. Electric field points in the direction of the force experienced by a positive charge.
what can you say about the motion of an object if its speed time graph is a straight line parallel to the time axis ? Also draw a diagram and plese do it on paper , in above picture Q 2 is an example you can do Q3 according to Q2
Answer:
It says about the motion and the graph of the object is stationary, basically travelling at the same speed at any time of the graph. It will never change.
Explanation:
To draw a diagram:
1. Draw an object and represent the speed as stationary and constant at any time.
A baseball player swings his bat and hits a ball. According to Newton’s third law of motion which of the following is a reaction to the bats force on the ball?
A. The ball’s force on the bat
B. The ball’s force on the player
C. The players force on the bat
D. The bats force on the player
If a baseball player swings his bat and hits a ball. According to Newton’s third law of motion, the ball’s force on the bat is a reaction to the bat's force on the ball, therefore the correct answer is option A.
What is Newton's third law of motion?Newton's third law of motion state that for every action force there exists a complementary reaction force that balances it. In other words, one can say that the action and reaction force pair exists in the pair with an equal magnitude but are opposite in the direction.
As given in the problem a baseball player swings his bat and hits a ball.
As per the third law of motion for every action there is an equal and opposite reaction, for the given problem statement, the ball’s force on the bat is a reaction to the bat's force on the ball,
Thus , the ball’s force on the bat is a reaction to the bat's force on the ball, therefore the correct answer is option A.
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a copper wire has a resistivity of 1.7 x 10^-8 ohm-meters. the diameter of this wire is .2 centimeters, and its length is 2.4 meters. calculate the resistance of this wire.
The required resistance of the copper wire when the resistivity, diameter and length of the wire are specified is calculated to be 129.94 × 10⁻⁴ ohm.
The resistivity ρ of the copper wire is given as 1.7 × 10⁻⁸ ohm-m.
The diameter d of the wire is given as 0.2 cm = 0.2 × 10⁻² m
The length l of the wire is given as 2.4 m.
The relation between resistance, resistivity, length and diameter is
R = ρ l/A
where,
R is resistance
ρ is resistivity
l is length
A is area
Area A = πd²/4 = π(0.2 × 10⁻²)²/4 = π(0.04 × 10⁻⁴)/4 = 0.0314 × 10⁻⁴ m
Putting the values into the equation,
R = ρ l/A = (1.7 × 10⁻⁸)(2.4)/(0.0314 × 10⁻⁴) = 129.94 × 10⁻⁴ ohm
Thus, the required resistance is calculated to be 129.94 × 10⁻⁴ ohm.
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HELP ME DUE NOW ILL BRAINELIST YOU IF U DID IT PLEASE PLEASE
Answer:
you have to post the diagram with your question together cause we are to use the diagram to answer the question. Post the Diagram we are to ANSWER from. i really want to help