A parallel-plate capacitor has plates of area 10 cm2 separated by a di

1.	A parallel-plate capacitor has plates of area 10 cm2 separated by a distance of 1 mm. It is filled with the dielectric mica and connected to a battery of emf 6 volts. Find the leakage current through the capacitor. Resistivity of mica = 1 × 1013 Ω-m1. 10 × 10-13 A2. 1 × 10-13 A3. 6 × 10-13 A4. 3 × 10-13 A
Answer» Correct Answer - Option 3 : 6 × 10^-13 A The resistance of the mica between the two faces is \(\rho \frac{l}{A} = \frac{{\left( {1 \times {{10}^{13}}} \right) \times {{10}^{ - 3}}}}{{10.0 \times {{10}^{ - 4}}}}\) = 1 × 10¹³ Ω. The leakage current \(= \frac{{6\;V}}{{1 \times {{10}^{13}}\;{\rm{\Omega }}}} = 6 \times {10^{ - 13}}A\)

A parallel-plate capacitor has plates of area 10 cm2 separated by a distance of 1 mm. It is filled with the dielectric mica and connected to a battery of emf 6 volts. Find the leakage current through the capacitor. Resistivity of mica = 1 × 1013 Ω-m1. 10 × 10-13 A2. 1 × 10-13 A3. 6 × 10-13 A4. 3 × 10-13 A

Answer» Correct Answer - Option 3 : 6 × 10^-13 A

The resistance of the mica between the two faces is

\(\rho \frac{l}{A} = \frac{{\left( {1 \times {{10}^{13}}} \right) \times {{10}^{ - 3}}}}{{10.0 \times {{10}^{ - 4}}}}\)

= 1 × 10¹³ Ω.

The leakage current \(= \frac{{6\;V}}{{1 \times {{10}^{13}}\;{\rm{\Omega }}}} = 6 \times {10^{ - 13}}A\)

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