1. Tardigrade
  2. Question
  3. Physics
  4. The capacitance of an air capacitor is 15 μ F the separation between the parallel plates is 6 mm. A copper plate of 3 mm thickness is introduced symmetrically between the plates. The capacitance now becomes

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The capacitance of an air capacitor is $15\, \mu F$ the separation between the parallel plates is $6\, mm$. A copper plate of $3\, mm$ thickness is introduced symmetrically between the plates. The capacitance now becomes

Electrostatic Potential and Capacitance

Solution:

By using $C_{\text {air }}=\frac{\varepsilon_{0} A}{d}, C_{\text {medium }}$
$=\frac{\varepsilon_{0} A}{d-t+\frac{t}{K}}$
For $K=\infty, C_{\text {medium }}=\frac{\varepsilon_{0} A}{d-t}$
$\Rightarrow \frac{C_{\text {medium }}}{C_{\text {air }}}=\frac{d}{d-t}$
$\Rightarrow \frac{C_{\text {medium }}}{15}=\frac{6}{6-3}$
$\Rightarrow C_{\text {medium }}=30\, \mu F$