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  • A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length <img alt="\mathrm{b}" src="https://entrancecorner.oncodec

A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length \mathrm{b}, as shown in the figure. The capacitance of the arrangement is \mathrm{\frac{x}{15} \frac{\in_{0} \mathrm{~A}}{\mathrm{~b}}}. The value of \mathrm{x} is _________.

Option: 1

23


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer



\mathrm{C_{1}= \frac{\in _{0}A}{5b}}
\mathrm{C_{2}= \frac{\in _{0}A}{3b}}
\mathrm{C_{3}= \frac{\in _{0}A}{b}}

\mathrm{C_{1},C_{2} \, \&\, C_{3}}  are in parallel

\mathrm{\because\; C_{eq}= C_{1}+C_{2} + C_{3}}
              \mathrm{= \frac{\in _{0}A}{5b}+ \frac{\in _{0}A}{3b}+ \frac{\in _{0}A}{b}}
               \mathrm{= \frac{23}{15} \frac{\in _{0}A}{b}} 

The answer is 23

Posted by

Divya Prakash Singh

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