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Question 32

A cylindrical capacitor has two co-axial cylinders of length 15 cm and radii 1.5 cm and 1.4 cm. The outer cylinder is earthed and the inner cylinder is given a charge of 3.5 µC. 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).


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 x 10 - 6 C

Capacitance of a co-axial cylinder of radii r1 and r2 is 
given by the relation,


  ∈0 = Permittivity of free space = 8.85 x 10-12 x N-1m-2C2 

Potential difference of the inner cylinder is given by,


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