# Three very large metal plates are given charges as shown in figure . Find out the final charge distribution. We can assume the cross-sectional area of each plate to be A.

Let the distribution be as shown in figure .
Let $P_1 , P_2$ and $P_3$ be the three points
Inside the plates
$\therefore E_{p1}=E_{p2}=E_{p3}=0$
Now $E_{p1} =\large\frac{1}{2 \in_0 A}$
$(Q – q_1 –q_1+(5Q + q_2) – q2 –10Q + q_3 – q_3 = 0$
$Q – q_1 – q_1 + 5Q + q_2 – q_2 – 10Q + q_3 – q_3 = 0$
$=> q_1=-2Q$
Similarly , $E_{P2}=0$
$=>q_2=-7Q$ and $E_{p3}=0$
$=> q_3=3Q$
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