In a parallel-plate capacitor of capacitance $C$, a metal sheet is inserted between the plates parallel to…
- $4 C$
- $2 C$
- $C / 2$
- $C / 4$
Solution

Before the metal sheet is inserted, $C=\frac{\varepsilon_{0} A}{d}$
After the sheet is inserted, the system is equivalent to two capacitors in series, each of
capacitance $C=\frac{\varepsilon_{0} A}{(d / 4)}=4 C .$
The equivalent capacity is now $2 C$.
Asked in: JEE Mains - Capacitance - Test 1