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Electrostatic Potential and Capacitance

Combination of capacitors

Two parallel plate vacuum capacitors have areas A_{1} and A_{2

Question

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Solving time: 2 mins

Two parallel plate vacuum capacitors have areas $A_{1}$ and $A_{2}$ and equal plate spacing $d$ . Show that when the capacitors are connected in parallel, the equivalent capacitance is the same as for a single capacitor with plate area $A_{1} + A_{2}$ and spacing $d$ . Note: In parallel $C = C_{1} + C_{2}$ .

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Electricity and Magnetism (DC Pandey)

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Two parallel plate vacuum capacitors have areas

A_{1}

and

A_{2}

and equal plate spacing

d

. Show that when the capacitors are connected in parallel, the equivalent capacitance is the same as for a single capacitor with plate area

A_{1} + A_{2}

and spacing

d

. Note: In parallel

C = C_{1} + C_{2}

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Discuss this question LIVE

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Text solutionVerified

Solution

C = C_{1} + C_{2}

(in parallel)

\frac{ε _{0} A}{d} = \frac{ε _{0} A _{1}}{d} + \frac{ε _{0} A _{2}}{d}

A = A_{1} + A_{2}

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Question Text	Two parallel plate vacuum capacitors have areas $A_{1}$ and $A_{2}$ and equal plate spacing $d$ . Show that when the capacitors are connected in parallel, the equivalent capacitance is the same as for a single capacitor with plate area $A_{1} + A_{2}$ and spacing $d$ . Note: In parallel $C = C_{1} + C_{2}$ .
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	112

Text solutionVerified

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