Question

Five conducting plates are placed parallel to each other Separation between them is $d$ and area of each plate is $A$. Plate number $1,2$ and $3$ are connected with each other and at the same time through a cell of emf $E$. The charge on plate number $1$ is

• A. $E{\epsilon }_{0}A/d$
• B. $E{\epsilon }_{0}A/2d$
• C. $2E{\epsilon }_{0}A/d$
• D. zero

Answer 1

The correct option is A $E{\epsilon }_{0}A/d$

Since plates $1,2,3$ are connected in parallel.

$C_{eq}=C_1+C_2+C_3=\frac{3{ϵ}_{o}A}{d}$

Toatl charges $Q=CE=\frac{3{ϵ}_{o}AE}{d}$

so, charge through each plates$=\frac{Q}{3}=\frac{{ϵ}_{o}AE}{d}$