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

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

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 $4\mu C.$ The capacitance of the system is (neglect end effect)

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 $3.5\mu C$. 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 metal cylinder of length 2 km is charged with $2\times {10}^{-2}C$. The linear charge density of the cylinder 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

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 $8\mu C$. Find the capacitance and potential of inner part of the capacitor.

A parallel plate capacitor of capacitance $1\mu F$ has a charge of $+2\mu C$ on one of the plates and a charge of $+4\mu C$ on the other. The potential difference developed across the capacitor is

A charge of 40 $\mu C$ is given to a capacitor having capacitance C = $10\mu F$. The stored energy in ergs is

The $500\mu F$ capacitor is charged at a steady rate of $100\mu C/s$. The potential difference across the capacitor will be 10 V after an interval of

A cylinder of length L has a charge of magnitude q. The electric intensity at a point at a distance r from the axis of the cylinder is