Question

Area of each plate is `A`. The conducting plates are connected to a battery of emf `V` volts. Find charges `q_1` to `q_t`.

Answer 1

Net charge drawn from the battery is zero or
`q_(Total)=0`
`:. q_1=q_6=q_(Total)/2=0`
`V_(AB)=V` with `V_AgtV_B`
`:. |q_2|=|q_3|=CV=((epsilon_0A)/d)V`
`q_2=+(epsilon_0AV)/d and q_3=-(epsilon_0AV)/d`
similarly,
`V_(BC)=V with V_CgtV_B`
`:. |q_4|=|q_5|=CV=((epsilon_0A)/(2d))V`
with `q_5=(epsilon_0AV)/(2d)` and `q_4=-(epsilon_0AV)/(2d)`