JEE Main · 2022 · 27 Jun 2022 · Shift 2 · Capacitance

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A paralle plate capacitor is made up of stair like structure with a palte area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is . The value of is ______.

Answer: 23

Solution

The stair-like structure forms three capacitors in parallel. Each capacitor has plate area A and different separations: 5b, 3b, and b.

For parallel combination:


Factoring out :


Comparing with , we get .

JEE Main · 2022 · 27 Jun 2022 · Shift 2 · Integer answer

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