# Three identical metal plates are kept parallel to one another at seperation $d_1\; and\; d_2$ If both the outer plates are connected to ground and middle plate is given charge q, The charge on right side of middle plate will be :

$(A)\;\frac{q}{2} \\ (B)\;\frac{qd_1}{d_1+d_2} \\ (C)\; \frac{qd_2}{d_1+d_2} \\ (D)\;none$

$V= \large\frac{Q_1}{c_1}=\frac{Q_2}{C_2}$
$Q_1+Q_2=q$
$C_1 =\large\frac{\in _0 A}{d_1}$
$C_2 =\large\frac{\in _0 A}{d_2}$
=> $Q_2 =\large\frac{q d_1}{d_1+d_2}$
Hence b is the correct answer.

edited Aug 1, 2014