Question

The diagram shows an arrangement of identical metal plates placed parallel to each other and the variation of potential between the plates by dotted line. Using the details given in diagram, the equivalent capacitance connected across the battery is equal to
(Separation between the plates = L, area of each plate = A)

• A. $\frac{3{\epsilon }_{0}A}{L}$
• B. $\frac{3{\epsilon }_{0}A}{4L}$
• C. $\frac{6{\epsilon }_{0}A}{5L}$
• D. $\frac{{\epsilon }_{0}A}{L}$

Answer 1

The correct option is C $\frac{6{\epsilon }_{0}A}{5L}$

Circuit can be redrawn as drawn above.
$C_{eq}=\frac{6C}{5}=\frac{6{\epsilon }_{0}A}{5L}$