The Total solution for NCERT class 6-12
A cylindrical capacitor has two co-axialcylinders of length 15 cm and radii 1.5 cm and 1.4 cm. The outer cylinder isearthed and the inner cylinder is given a charge of 3.5 µC. Determine thecapacitance of the system and the potential of the inner cylinder. Neglect endeffects (i.e., bending of field lines at the ends).
Length of a co-axial cylinder, l =15 cm = 0.15 m
Radius of outer cylinder, r1 =1.5 cm = 0.015 m
Radius of inner cylinder, r2 =1.4 cm = 0.014 m
Charge on the inner cylinder, q =3.5 µC = 3.5 × 10−6 C
Where,
= Permittivity offree space =
Potential difference of the inner cylinder is given by,