The outer cylinder of a cylindrical capacitor of length 0.15 m and radial 1.61 cm and 1.5 cm is earthed while inner cylinder of this capacitor is given a charge of `8 muC`. Find the capacitance and potential of inner part of the capacitor.

The outer cylinder of a cylindrical capacitor of length 0.15 m and rad

1.	The outer cylinder of a cylindrical capacitor of length 0.15 m and radial 1.61 cm and 1.5 cm is earthed while inner cylinder of this capacitor is given a charge of `8 muC`. Find the capacitance and potential of inner part of the capacitor.
Answer» Here, l = 0.15 m, `r_(b) = 1.61xx10^(-2)m, r_(a) = 1.50xx10^(-2) m` `q = 8.0xx10^(-6) C, C = ?, V = ?` For cylindrical capacitor, `C = (2pi in_(0) l)/(2.3031 log_(10) ((r_(b))/(r_(a))))` `= (2pi(8.854xx10^(-12)) (0.15))/(2.303 log_(10) ((1.61xx10^(-2))/(1.50xx10^(-2))))` `C = 1.18xx10^(-10) F`. `V = (q)/(C ) = (8.0xx10^(-6))/(1.18xx10^(-10)) = 6.78xx10^(4) V`

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The outer cylinder of a cylindrical capacitor of length 0.15 m and radial 1.61 cm and 1.5 cm is earthed while inner cylinder of this capacitor is given a charge of `8 muC`. Find the capacitance and potential of inner part of the capacitor.

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