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Q. 30

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

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 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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