Electrostatics Question 553

Question: Four plates of the same area of cross-section are joined . The distance between each plate is$ d $ . The equivalent capacity across A and B will be

Options:

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

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

C) $ \frac{3{\varepsilon _{0}}A}{2d} $

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

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Answer:

Correct Answer: B

Solution:

The given arrangement is equivalent to the parallel combination of three identical capacitors.

Hence equivalent capacitance $ =3C=3\frac{{\varepsilon _{0}}A}{d} $



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