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Question: Two capacitors are joined in series as shown in figure. The area of each plate is A. The equivalent ...

Two capacitors are joined in series as shown in figure. The area of each plate is A. The equivalent of the combination is –

A

(a) ε0Ad1d2\frac{\varepsilon_{0}A}{d_{1} - d_{2}}

A

(b)ε0Aab\frac{\varepsilon_{0}A}{a - b}

A

(c) ε0A(1a1b)\varepsilon_{0}A\left( \frac{1}{a} - \frac{1}{b} \right)

A

(d)

Explanation

Solution

(b)

When two capacitors are in series

1Ceq\frac { 1 } { \mathrm { C } _ { \mathrm { eq } } }= =

\ Ceq =

=

Now in given arrangement

Capacitors are in series

& sum of separations = a – b

\ Ceq =