Definition of CapacitanceTwo conductors having net charges of +10.0μC and −10.0μC have a potential difference of 10.0V between them.(a) Determine the capacitance of the system.(b) What is the potential difference between the two conductors if the charges on each are increased to +100μC and −100μC?
Answers
Capacitance of the system is 1.0 μF and The potential difference between the two conductors, when the charges on each are increased to +100 μC and −100 μC, is 100 V.
(a) The capacitance of the system can be determined using the formula:
C = Q / V
where C is the capacitance, Q is the charge on one of the conductors, and V is the potential difference between the conductors.
Given:
Charge on one conductor (Q) = +10.0 μC = 10.0 x 10^(-6) C
Potential difference between the conductors (V) = 10.0 V
Using the formula, we can calculate the capacitance:
C = (10.0 x 10^(-6) C) / (10.0 V)
C = 1.0 x 10^(-6) F
Therefore, the capacitance of the system is 1.0 μF (microfarad).
(b) If the charges on each conductor are increased to +100 μC and −100 μC, we can calculate the new potential difference between the conductors.
Given:
Charge on one conductor (Q) = +100 μC = 100 x 10^(-6) C
Using the formula:
C = Q / V
Rearranging the formula, we have:
V = Q / C
Substituting the values:
V = (100 x 10^(-6) C) / (1.0 x 10^(-6) F)
V = 100 V
Therefore, the potential difference between the two conductors, when the charges on each are increased to +100 μC and −100 μC, is 100 V.
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Related Questions
please answer this fast
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answer
64 is C (c) 1-Bromo-3-methylbutane
63 is D
i is secondary ii is primary
the potential energy of an object u as a function of x looks like the plot shown above. 1)where is the force the biggest in the negative x direction?
Answers
The force on an object is the rate of decrease in potential energy. Hence, in the plot the region having a negative slope is the one with biggest force. Then, c is correct.
What is potential energy ?Potential energy of a body is generated by virtue of the position of the object. Hence, this form of energy is stored in the object when it is at rest. When the object starts moving its potential energy converts to kinetic energy.
Force is an external agent acting on a body to change its motion. The relation between potential energy force applied is given as:
F = - dU/dx
where potential energy U = mgh
then
F = - d/dx (mgh)
From the plot of potential energy,
F = -slope.
Hence, the x component with maximum slope have the biggest force. Here, it is the region C.
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The image related to your question is given here:
two connected carts are pulled across the floor under the influence of a force f. which of the following is true?multiple select question.treat the two carts as a single system to find their motion.treat the acceleration of individual carts separately.treat the two carts as a single system to find the acceleration.treat the motion of the individual carts separately.
Answers
The correct options are Treat the two carts as a single system to find their motion and Treat the two carts as a single system to find the acceleration.
When two objects are connected and moving together, it is often easier to treat them as a single system rather than analyzing their individual motions separately. In this case, treating the two carts as a single system allows us to find their combined motion and acceleration under the influence of the external force F.
When analyzing the situation with two connected carts being pulled across the floor under the influence of a force F, we can:
1. Treat the two carts as a single system to find their motion: When we consider the two carts as one system, we can analyze their combined motion by applying Newton's laws to the entire system. The total mass of the system will be the sum of the individual masses of the carts.
2. Treat the two carts as a single system to find the acceleration: In this approach, we can find the acceleration of the entire system by using Newton's second law, F = ma, where F is the force applied, m is the total mass of the system (the sum of the individual masses), and a is the acceleration. When treating the carts as a single system, the acceleration will be the same for both carts.
The other two options are not ideal for this scenario:
- Treat the acceleration of individual carts separately: This approach doesn't take into account the connection between the carts, which can lead to incorrect conclusions about their motion.
- Treat the motion of the individual carts separately: Again, this approach doesn't consider the connection between the carts, and it may not provide an accurate understanding of their combined motion under the influence of the force F.
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What causes competition among organisms?
Answers
Answer:
Whats up Bmw,
The organisms is caused when both the organisms or species are harmed, which is limited supply of at least one resource from food or even water used by both can be a factor.
Explanation:
Hope I helped you, and let me know if you need help on anything else :p
Answer:
Limited resources lead to competition between organisms
Explanation:
Competition is a negative interaction that occurs among organisms whenever two or more organisms require the same limited resource. All organisms require resources to grow, reproduce, and survive. However, organisms cannot acquire a resource when other organisms consume or defend that resource.
An arrow is launched from P with a speed Vi = 25m / s. Knowing that the target Q is 10 m high, and the arrow reaches it as shown in the figure, we are asked to determine the distance X. (g = 10m / s2).
Answers
Answer:
20 m
Explanation:
Given in the y direction:
Δy = 10 m
v₀ = 25 m/s sin 37° = 15.0 m/s
a = -10 m/s²
Find: t
Δy = v₀ t + ½ at²
10 m = (15.0 m/s) t + ½ (-10 m/s²) t²
10 = 15t − 5t²
2 = 3t − t²
t² − 3t + 2 = 0
(t − 1) (t − 2) = 0
t = 1 or 2
Since the projectile reaches Q before it reaches the peak, we want the lesser time, so t = 1.
Given in the x direction:
v₀ = 25 m/s cos 37° = 20.0 m/s
a = 0 m/s²
t = 1 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (20.0 m/s) (1 s) + ½ (0 m/s²) (1 s)²
Δx = 20 m
Sort the types of energy according to the order in which they move through this system:
Water stored in dams falls freely with the force to make a turbine move. The turbine moves and produces electricity. This electric energy is supplied to homes. At home, we use electricity for heating, cooling, and lighting.
Answers
The types of energy that move through the system are as follows: potential energy, kinetic energy, mechanical energy, and electrical energy.The water stored in the dams contains potential energy.
This energy is stored as the water is located at a higher altitude compared to the point where it falls. The potential energy of the water is converted into kinetic energy as it falls through the force of gravity with a speed proportional to its mass and the height from which it fell. The moving water can be used to make a turbine move, which converts the kinetic energy of the moving water into mechanical energy. The mechanical energy of the turbine is used to generate electricity through a generator, which converts the mechanical energy into electrical energy. The electricity generated is then supplied to homes for heating, cooling, and lighting. Hence, the energy moves through the system in the following order: potential energy, kinetic energy, mechanical energy, and electrical energy.For such more question on potential energy
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What is the equivalent resistance (total resistance) of the series circuit shown?
Answers
Answer:
In a series circuit, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the voltage divided by the equivalent resistance. The potential drop across each resistor can be found using Ohm's law.
if a boat is traveling a distance of 60 km at a speed of 13km/s how long will it take to reach its destination
Answers
Answer:
4.61
60/13=4.61 so that is your answer : )
it took 50 joules to push a shopping cart 5 meters.with what face was the shopping cart pushed?
Answers
If you drop a steel metal ball off a building and it takes 3 seconds to hit
the ground, how tall is the building?
Answers
Answer:
\(40\:\mathrm{m}\)
Explanation:
We can use kinematics equation \(\Delta y={v_i}^2+\frac{1}{2}at^2\) to solve this problem. Because the metal ball's initial velocity was 0, \({v_i}^2=0\).
Therefore, our equation becomes:
\(\Delta y=\frac{1}{2}at^2\) (freefall equation).
\(t\) is given as 3 seconds and \(a\) is acceleration due to gravity (\(9.81\:\mathrm{m/s}\)).
Therefore, our answer is:
\(\Delta y = \frac{1}{2}\cdot9.81\cdot3^2=44.145=\fbox{$40\:\mathrm{m}$}\) (one significant figure).
If an unknown object has a mass of 150.0 grams and a volume of 50 cm3, what is the object’s density?
Answers
Two charges are aligned with a -2.5x10-6 C charge 0.50 m directly below a 3.0x10-6 C charge. Calculate the force acting on both charges, including direction.
Show work please.
Answers
F = k*(q1*q2)/r^2
where k is the Coulomb's constant (8.99x10^9 Nm^2/C^2), q1 and q2 are the charges, and r is the distance between them.
F = 8.99x10^9 Nm^2/C^2 * (-2.5x10^-6 C) * (3.0x10^-6 C) / (0.50 m)^2
F = -7.49x10^-5 N
The force on the 3.0x10-6 C charge is the same magnitude but in the opposite direction:
F = 7.49x10^-5 N
How can you tell the difference between a colloid and a suspension?
Answers
Answer: Particles in a suspension are usually more than 1,000 nm, while those in a colloid range from 1-1,000 nm. Unlike those in a suspension, particles in a colloid do not separate when sitting still. ... Particles in a suspension can be seen by the naked eye, but those in a colloid must be viewed using a light microscope.
hope this helps:)
Explanation:
What nuclear reaction is shown in the equation below?
A. Nuclear fusion
B. Nuclear fission
C. Positron emission
D. Beta decay
Answers
The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.
What is a nuclear fusion?The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.
We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.
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Answer:
A. Nuclear fusion
Explanation:
got it right, trust
A person takes a ride to the top of a building in an elevator. If the elevator starts with
electrical energy, what types of energy does the electrical energy transform into during
this process? Put at least four answers.
Answers
Answer:
mechanical energy
Explanation:
A 10-A current is maintained in a simple circuit with atotal resistance of 209 ohm. What net charge passes through any point in a circuit during a 1-minute interval?
Answers
Answer:
I = Q / t definition of current I
Q = i t = 10 Coul/sec * 60 sec = 600 Coul
A 10-A current is maintained in a simple circuit with a total resistance of 209 ohms, then the net charge passes through any point in a circuit during a 1-minute interval would be 6000 Coulombs.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
Let us first convert the time period of minutes into seconds
1 min = 60 seconds
10 min = 10*60 seconds
=600 seconds
Q = I*t
=10*600
=6000 Amperes
Thus, the net charge that passes through any point in a circuit during a 1-minute interval would be 6000 Amperes.
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please help me guys please
Answers
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Solution is in attachment ~
I hope that you got what you were looking for, and if there's different data then go through the same procedure, using same formula with different values and you will get your answer ~
\(\mathrm{✌TeeNForeveR✌}\)
Answer:1.9 × 10³⁰
Explanation:
Please help, quicklyyyyy
Answers
A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.11 N downward, and the force of the wind on the apple is 1.18 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N. Part 2: What is the direction of the net external force on the apple (measured from the downward vertical, so that the angle to the right of downward is positive)? Answer in units of ◦
Answers
Answer:
The net external force on the apple is 9.18 N and the direction of net force is 82.6°.
Explanation:
Given that,
Force of gravity = 9.11 N
Force of wind = 1.18 N
We need to calculate the net external force on the apple
Using formula of net force
\(F'=\sqrt{(9.11)^2+(1.18)^2+2\times1.18\times9.11\cos90}\)
\(F'=9.18\ N\)
We need to calculate the direction of net force
Using formula of direction
\(\theta=\tan^{-1}(\dfrac{9.11}{1.18})\)
\(\theta=82.6^{\circ}\)
Hence, The net external force on the apple is 9.18 N and the direction of net force is 82.6°.
The magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.
The given parameters;
weight of the apple, W = 9.11 Nhorizontal force on the apple, F = 1.18 NThe magnitude of the net external force on the apple is calculated as follows;
\(F= \sqrt{F_y^2 + F_x^2} \\\\F= \sqrt{9.11^2 + 1.18^2} \\\\F = 9.19 \ N\)
The direction of the net external force on the apple is calculated as follows;
\(\theta = tan^{-1}(\frac{F_y}{F_x} )\\\\\theta = tan^{-1}(\frac{9.11}{1.18} )\\\\\theta = 82.6 \ ^0\)
Thus, the magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.
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When voltage is applied to a dc motor but
the armature is not turning, this condition is
called
Answers
A dc motor has armature failure when voltage is applied but the armature is not rotating.
To find the answer, we need to know more about the working of motor.
What is an armature and how it works?The armature's job is to continuously produce a magnetic field, which, along with the magnetic field generated by the stator windings, causes the rotor (or armature) to rotate.Due to the relative motion between the flux provided by the field winding and the flux produced by the armature winding, an EMF is created when the armature is utilized as an electric motor.This EMF will oppose the torque generated in the rotor and the current flowing through an armature. As a result, mechanical power is created from electrical power. A shaft is used to transmit the toque generated in the rotor to rotate other objects.The most common fault with armatures is worn commutators, caused by the friction of carbon brushes against the commutator surface. Over time the insulation between the commutator segments becomes proud as the copper of the commutator surface wears away.Thus, we can conclude that, a dc motor has armature failure when voltage is applied but the armature is not rotating.
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A wheel of radius 30.0 cm is rotating at a rate of 2.30 revolutions every 0.0810 s. The linear speed of a point on the wheel’s rim = 178 radWhat is the linear speed of a point on the wheel’s rim?What is the wheel’s frequency of rotation?
Answers
Given data
*The given radius of the wheel is r = 30.0 cm = 0.30 m
*The given angle of the wheel rotates in 1.00 s is
\(\theta=178.0\text{ rad}\)*The angular velocity of the wheel is
\(\omega=178.0\text{ rad/s}\)The formula for the linear speed of a point on the wheel's rim is given as
\(v=r\omega\)Substitute the known values in the above expression as
\(\begin{gathered} v=(0.30)(178.0) \\ =53.4\text{ m/s} \end{gathered}\)Hence, the linear speed of a point on the wheel's rim is v = 53.4 m/s
The formula for the wheel's frequency of rotation is given as
\(\begin{gathered} \omega=2\pi f \\ f=\frac{\omega}{2\pi} \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} f=\frac{178.0}{2\times3.14} \\ =28.34\text{ Hz} \end{gathered}\)Hence, the wheel's frequency of rotation is f = 28.34 Hz
A person with a gravitational force of 750 N is sitting in the centre of a hammock which is strung between two trees. The ropes supporting the hammock make an angle of 20.0 degrees to the level ground. What is the magnitude of the force on each rope?
Answers
Answer:
Answer in photo
Explanation:
Answer in photo
What value of resistor R gives the circuit in the figure a time constant of 22 μs ?
Answers
The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.
The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:
RC = τ, where R is the resistance and C is the capacitance of the circuit.
Rearranging the above formula, we get:R = τ / C
Where τ is the time constant and C is the capacitance of the circuit.
From the figure, the capacitance is given as 0.1 μF
.Substituting the values of τ and C in the above formula, we get:
R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)
R = 220 Ω
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15. True or flase: Condensation is the change of state from a liquid to a gas.._______
16. For a gas to become a liquid, large numbers of particles must clump together.
Particles clump together when the attraction between thm overcomes their_________
Answers
16. True. For a gas to become a liquid, large numbers of particles must clump together. Particles clump together when the attraction between them overcomes their kinetic energy. This attraction is known as intermolecular forces, which are responsible for holding particles together in a liquid state. As the temperature decreases, the kinetic energy of the particles decreases, and the intermolecular forces become stronger, causing the particles to come closer together and form a liquid.
an object is moving at a constant speed of 5mph and the net force = 0 N. which statement is true
Answers
Answer:5mph
Explanation:
What is the approximate number of wavelengths of light that can travel in 1 direction within a retroreflecting bead that has a diameter of 5 × 10-5 m? (Note: The speed of light = 3 × 108 m/s, and its frequency is approximately 1015Hz.)
0.6
1.7 × 10^2
1.5 × 10^4
3.3 × 10^6
Answers
The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
Number of wavelengths of light in a retroreflecting bead with 5 × 10^-5 m diameter?
This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.
In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.
Using the formula c = λf, we can solve for the wavelength of light:
λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m
Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:
n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167
Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
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A 56 kg girl stands on the Earth. (Diagram not to scale)
a) what is her weight?
b)If she were standing on a tower that is as high as the radius of the Earth what would
she weigh there?
Answers
(a) The weight of the girl on Earth is 548.8 N
(b) The girl would weigh approximately 137.2 N on the tower at a height equivalent to the radius of the Earth.
What is the weight of the girl?a) The weight of the girl on Earth can be calculated using the formula for gravitational force:
Weight = mass × acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
Given that the mass of the girl is 56 kg, her weight on Earth would be:
Weight = 56 kg × 9.8 m/s^2 = 548.8 N (Newtons)
b) If the girl were standing on a tower that is as high as the radius of the Earth, she would be at the height of the Earth's orbit.
Assuming the girl is at a height equivalent to the radius of the Earth, which is approximately 6,371 km, the acceleration due to gravity would be significantly lower.
Let's assume it's approximately 1/4 of the surface gravity, which is a rough estimate.
Acceleration due to gravity at height of radius of Earth = 9.8 m/s^2 ÷ 4 = 2.45 m/s^2
Using this lower acceleration due to gravity, the girl's weight on the tower would be:
Weight = mass × acceleration due to gravity at height
Weight = 56 kg × 2.45 m/s^2 = 137.2 N (Newtons)
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the current in a 20-ohm electric heater operated at 240 v is
Answers
Resistance is a fundamental concept related to the flow of electric current in a conductor. It refers to the measure of opposition encountered by the current as it passes through a material. The resistance of an electric heater is 20 ohms. It is being operated at 240 v.
Using Ohm's law, the current flowing in the heater can be calculated as follows
: I = V/R, where I is the current, V is the voltage and R is the resistance.
Substituting the given values we have, I = 240 V / 20 ohms= 12 Amps.
Therefore, the current in a 20-ohm electric heater operated at 240 V is 12 Amps.
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A kid jumping on a trampoline reaches a height of 0.925 m. What was his speed when he left the trampoline?
Answers
Answer:
4.26 m/s
Explanation:
h = 0.925
v = 0
u = ?
v = u^2 - 2gh
0 = u^2 - 2gh
u = sqrt 2gh
= sqrt 2*9.8*0.925
= 4.258
= 4.26
What’s a transverse? (Definition)
Answers
Answer: acting, lying, or being across : set crosswise. 2 : made at right angles to the long axis of the body a transverse section.
Explanation: