Question

A 1$\mu F$ capacitor and a $2\mu F$ capacitor are connected in series across a $1200V$ supply line. Find the voltage across $2\mu F$ capacitor(in $V$).

Answer 1

$C_{net}=\frac{C_1{C}_2}{C_1+C_2}=\frac{2}{3}\mu F$

$q_{net}=C_{net}V$

$=\left(\frac{2}{3}\mu F\right)\left(1200V\right)$

$=800\mu C$

In series, q remains same

$\therefore q_1=q_2=800\mu C$

$V_1=\frac{q_1}{C_1}=800V$

and $V_2=\frac{q_2}{C_2}=400V$