The charge per unit length of a circular wire of radius a in the xy -plane, with its centre at the origin, is \lambda ={\lambda }_{0}cos\theta, where {\lambda }_{0} is a constant and the angle \theta is measured from the positive x -axis. The electric field at the centre of the circle is

Electrostatics — CSIR Net PYQ (Question 4)

A Electrostatics previous-year question (PYQ) from Electromagnetism (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 4 of 24 · 3.5 marks

The charge per unit length of a circular wire of radius

a

in the

x y

-plane, with its centre at the origin, is

λ = λ_{0} cos θ

, where

λ_{0}

is a constant and the angle

θ

is measured from the positive

x

-axis. The electric field at the centre of the circle is

1 $E = - \frac{λ _{0}}{4 ϵ _{0} a} \overset{ı}{^}$
2 $E = \frac{λ _{0}}{4 ϵ _{0} a} \overset{ı}{^}$
3 $E = - \frac{λ _{0}}{4 ϵ _{0} a} \overset{ȷ}{^}$
4 $E = \frac{λ _{0}}{4 π ϵ _{0} a} \hat{k}$

Correct answer: Option 1

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