Question

Charge given to the middle plate is $Q$ while the other two plates are neutral. After closing the switch, charges on different faces of the plates would be .

• A. Charge on face B is $\frac{2Q}{3}$
• B. Charge on face E is $-\frac{Q}{3}$
• C. Charge on face A is $\frac{Q}{2}$
• D. On closing switch charge flown from plate I to plate III in $\frac{Q}{6}$

Answer 1

Answer: (B), (C), (D)

The correct options are
B Charge on face E is $-\frac{Q}{3}$
C Charge on face A is $\frac{Q}{2}$
D On closing switch charge flown from plate I to plate III in $\frac{Q}{6}$

Charge on face A & F is $\frac{Q}{2}$ and is independent of switch.
When switch was open charge on B & E are same and it is $-\frac{Q}{2}$ by concervation of charges.
On closing switch $\Delta V_{IIandI}$ = $\Delta V_{IIandIII}$
let New charge on E be q so
$qx=(Q-q)2xorq=\frac{2Q}{3}$
So $q_B=-\frac{2Q}{3}$, $q_C=\frac{2Q}{3}$, $q_D=\frac{Q}{3}$, $q_E=-\frac{Q}{3}$