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Q. 55

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

Find expressions for the equivalent capacitance of

(a) identical capacitors in parallel and

(b) identical capacitors in series.

(a) In parallel, the expression for the equivalent capacitance is.

(b) In series, the expression for the equivalent capacitance is .

See the step by step solution

Step by Step Solution

Part (a) step 1: Given Information

We have given that identical capacitors in parallel.

We need to find the expressions for equivalent capacitance.

Part (a) step 2: Explanation

The equivalent capacitance of capacitors capacitance connected in parallel will be given as

As we have capacitors of equal capacitance . So, the capacitance will be

Part (b) step 1: Given information

We have given that the identical capacitors in series.

We need to find the expressions for the equivalent capacitance.

Part (b) step 2: Explanation

The equivalent capacitance of capacitors capacitance connected in series will be given as

As we have capacitors of equal capacitance . So, the equivalent capacitance will be

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