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Electrostatic Potential and Capacitance

Parallel plate capacitors

A 10.0 {F} parallel-plate capacitor with circular plates is c

Question

Hard

Solving time: 4 mins

A $10.0 μ F$ parallel-plate capacitor with circular plates is connected to a $12.0 V$ battery.
(a) What is the charge on each plate?
(b) How much charge would be on the plates if their separation were doubled while the capacitor remained connected to the battery?
(c) How much charge would be on the plates if the capacitor were connected to the $12.0 V$ battery after the radius of each plate was doubled without changing their separation?

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Book:

Electricity and Magnetism (DC Pandey)

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Emma Discussed

10.0 μ F

parallel-plate capacitor with circular plates is connected to a

12.0 V

battery.
(a) What is the charge on each plate?
(b) How much charge would be on the plates if their separation were doubled while the capacitor remained connected to the battery?
(c) How much charge would be on the plates if the capacitor were connected to the

12.0 V

battery after the radius of each plate was doubled without changing their separation?

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

(a)

q = C V

(b)

C = \frac{ε _{0} A}{d}

C \propto \frac{1}{d}

d

is doubled,

C

will remain half. Hence,

q

will also remain half.
(c)

q = C V = (\frac{ε _{0} A}{d}) V = \frac{ε _{0} ( π R ^{3} ) V}{d}

q \propto R^{2}

R

is doubled. Hence,

q

will become four times or

480 μ C

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Question Text	A $10.0 μ F$ parallel-plate capacitor with circular plates is connected to a $12.0 V$ battery. (a) What is the charge on each plate? (b) How much charge would be on the plates if their separation were doubled while the capacitor remained connected to the battery? (c) How much charge would be on the plates if the capacitor were connected to the $12.0 V$ battery after the radius of each plate was doubled without changing their separation?
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	106

Text solutionVerified

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