Q. 30

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Found in: Page 738

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# You need a capacitance of , but you don’t happen to have a capacitor. You do have a capacitor. What additional capacitor do you need to produce a total capacitance of ? Should you join the two capacitors in parallel or in series?

The capacitance of additional capacitor isand should be connected in series.

See the step by step solution

## Step 1: Given information

We have given a total capacitance of .

We need to find Should we join the two capacitors in parallel or in series.

## Step 2: Simplify

As we want capacitance but we only have a capacitor. Note, could technically have a capacitor if we wanted to install it in parallel.

Since negative capacitance is not possible. So, we have to place them in a series. Considering the series formula for capacitance

or

We we need to arrive at capacitance, . thus,our setup becomes

From here we solve for .

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