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

In a parallel-plate capacitor of capacitance $C$, a metal sheet is inserted between the plates parallel to them. The thickness of the sheet is half of the separation between the plate The capacitance now becomes
  1. $4 C$
  2. $2 C$
  3. $C / 2$
  4. $C / 4$

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

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