Home
Class 12
PHYSICS
The outer cylinder of a cylindrical capa...

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.

Text Solution

Verified by Experts

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`
Promotional Banner

Similar Questions

Explore conceptually related problems

A cylindrical capacitor has two co-axial cyclinders of length 15 cm and radil 1.5 and 1.4 cm.The outer cylinder is earthed and inner cyclinder is given a charge of 3.5 muC . Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends.)

A cylindrical capacitor has tow co-axial cylinders of length 20 cm and radii 1.5 cm and 1.6 cm. The outer cylinder is earthed and inner cylinder is given a charge 4 muC. The capacitance of the system is (neglect end effect)

Two capacitors of 2 muF and 3 mu F are joined in series. The outer plate of second capacitor is earthed. Find out the potential and charge of the inner plate of each capacitor.

In a parallel plate capacitor of capacitor 1muF two plates are given charges 2muC and 4muC the potential difference between the plates of the capacitor is

A spherical capacitor has an inner sphere of radius 10 cm and outer sphere of radius 12 cm . The outer sphere is earthed and the inner sphere is given a charge of 5 mu C . The capacitance of the capacitor is

A cylinderical capacitor has two co-axial cylinders of length 20 cm and radii 2r and r . Inner cylinder is given a charge of 10 mu C and Outer cylinder is given a charge of -10 mu C . The potential difference between the two cylinder will be

Two capacitors of capacitance 2 muF and 3 muF are joined in series. Outer plate first capacitor is at 1000 volt and outer plate of second capacitor is earthed (grounded). Now the potential on inner plate of each capacitor will be

A parallel plate capacitor has plates of area 4 m^2 separated by distance of 0.5 mm. The capacitor is connected across a cell of emf 100 V. Find the capacitance, charge and energy stored in the capacitor.

A cylindrical capacitor has has two co-axial cylinders of length 20 cm and radii 2r and r, inner cylinder is gliven a charge 10 mu C and and outer cylinder a charge of - 10 mu C. the potential difference between the two cylinders will be

The outer cyliunders of two cylindrical capacitors of capacitance 2.2 mu F each , are keot in contact and the inner cylinders are connected through a wire .A bettery of end 10V is connected as shown in figure. Find the totatl charge supplied by the bettery to the inner cylioders.