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Question

What is the equivalent capacitance of three capacitors?


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Solution

Step 1. Assumption:

Let there be three capacitors of capacitance Ca, Cb and Cc respectively. Let C be the equivalent capacitance of the three capacitors.

Step 2. Diagram for parallel connection:

Step 3. The calculation for parallel series:

The expression for C, the equivalent capacitance is,

1C=1Ca+1Cb+1Cc1C=CbCc+CaCc+CaCbCa+Cb+CcC=Ca+Cb+CcCbCc+CaCc+CaCb

Step 4. Diagram for series connection:

Step 5. The calculation for series connection:

The expression for C, the equivalent capacitance is,

C=Ca+Cb+Cc


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