Electrostatics Question 524

Four plates of equal area $ A $ are separated by equal distances $ d $ and are arranged. The equivalent capacity is

Options:

A) $ \frac{2{\varepsilon _{0}}A}{d} $

B) $ \frac{3{\varepsilon _{0}}A}{d} $

C) $ \frac{3{\varepsilon _{0}}A}{d} $

D) $ \frac{{\varepsilon _{0}}A}{d} $

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Answer:

Correct Answer: A

Solution:

The given circuit is equivalent to a parallel combination of two identical capacitors

Hence equivalent capacitance between A and B is C = $ \frac{{\varepsilon _{0}}A}{d} $

$ =\frac{2{\varepsilon _{0}}A}{d} $



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