Question

Five capacitors are connected to each other as shown in figure. What is potential drop and charge across $4\mu$F capacitor?

• A. 6 V, 24$\mu$C
• B. 10 V, 30$\mu$C
• C. 6 V, 40$\mu$C
• D. 10 V, 40$\mu$C

Answer 1

The correct option is D 10 V, 40$\mu$C

The equivalent circuit is shown in the above figure.
The equivalent capacitance for capacitors (6,4, 8) is $C=6+4+8=18\mu F$
As all capacitors (18,C=18,18) have equal capacitance and they are in series so potential across each is $V=\frac{30}{3}=10V$
As capacitors C contains capacitors (4,6,8) and they are in parallel so potential across each equal and it is equal to $10V$.
Thus charge on $4\mu F=4\times 10=40\mu C$