ElectrostaticsHard

Question

The linear charge density on a dielectric ring of radius R varies with θ as λ = λ0 cos θ/2, where λ0 is constant. Find the potential at the centre O of ring. [in volt] :-

Options

A.λ0R
B.
C.
D.zero

Solution

The charge on the infinitesimal elements of arc which subtend an angle dθ at the centre of the ring.
     
dQ = λRd θ = λ0 cos Rd θ
Potential at the centre of ring due to charge dQ
dV =
V = ∫dV ⇒ V =
= = 0V

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