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A parallel plate capacitor is made up of...

A parallel plate capacitor is made up of stair like strcuture with a plate 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 `(x)/(15)(in_(0)A)/(b)` . The value of x is _______.

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The correct Answer is:
23
There will be three Capacitors in parallel combination in given system so Equivalent capacitance.
`C = C_(1) + C_(2) + C_(3)`
`rArr c= (in_(0)A)/(5d) + (in_(0)A)/(3d) +(in_(0)A)/(d) = (in_(0)A)/(d) ((1)/(5) + (1)/(3) + 1)`
`rArr (23)/(15) (in_(0)A)/(d)`
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