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Vlad [161]
4 years ago
10

A parallel-plate capacitor, with air between the plates, is connected across a voltage source. This source establishes a potenti

al difference between the plates by placing charge of magnitude 4.33 ×10 -6 C on each plate. The space between the plates is then filled with a dielectric material, with a dielectric constant of 7.74. What must the magnitude of the charge on each capacitor plate now be, to produce the same potential difference between the plates as before?
Physics
1 answer:
kondaur [170]4 years ago
8 0

Answer: 33.5 x 10⁻⁶ C

Explanation:

By definition, the capacitance is the relationship between the charge on one of the plates (assuming it's a capacitor) and the voltage between them:

C = Q / V

Now, it can be showed that we can find the capacitance of a parallel-plate capacitor, taking into account the geometry and the dielectric material only, as follows:

C = ε A /d = ε₀ εr A / d

If the dielectric is air, we can assume εr = 1

If the space between plates is filled with a dielectric of dielectric constant 7.74, the new value for capacitance (regarding the former value) must be 7.74 times larger, as A and d didn't change.

So, in order to produce the same potential difference between the plates, we need to increase the charge, exactly 7.7 times:

Q = 7.7. 4.33 . 10⁻⁶ C = 33.5 . 10⁻⁶ C

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3 years ago
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how much energy is needed to raise the temperature of 2kg of copper from 0°c to 10°c. the specific heat capacity of copper is 38
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Explanation:

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The Tour de France is the biggest bicycle race in the world. The race lasts for three weeks and is one of the biggest sporting e
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Yellow, green, polka dot and white jerseys

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A 100 kilogram person acquires a velocity of 15 meters per second down a ski slope.What is the skier's kinetic energy?
azamat

11250J

Explanation:

Given parameters:

Mass of the person = 100kg

Velocity = 15m/s

Unknown:

Kinetic energy  = ?

Solution:

The kinetic energy of a body is energy due to the motion of the body.

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