Question

Find the capacitance per unit length of a cylindrical capacitor of

which the two conductors have a radius of 2.5 cm and 4.5cm and the

dielectric consist of two layers whose cylinder or contact is 2.5cm .

radius, the inner layers having a dielectric constant of 4 and the

outer 6. 

Answer 1

Length of a co-axial cylinder, l=15cm=0.15m

Radius of outer cylinder, r1​=1.5cm=0.015m

Radius of inner cylinder, r2​=1.4cm=0.014m

Charge on the inner cylinder, q= 3.5 µC 

Capacitance of coaxial cylinder,

 

Therefore, potential of the inner cylinder is given by,