A circular ring of radius R and uniform linear charge density + λ C / m are kept in x - y plane with its centre at the origin. The electric field at a point 0,0 , R 2 is

Question

A circular ring of radius R and uniform linear charge density + λ C / m are kept in x - y plane with its centre at the origin. The electric field at a point 0,0 , R 2 is, λ 3 3 ε 0 R, 2 λ 3 3 R 2, 2 3 3 λ ε 0 R, none of these

MARKS App · Accepted Answer

E a x i s = 1 4 π ε 0 q z ( R 2 + z 2 ) 3 2 , at z = R 2 ⇒ E a x i s = 2 3 3 1 4 π ε 0 q R 2 ⇒ E a x i s = 2 3 3 . 1 4 π ε 0 . λ . 2 π R R 2 ⇒ E a x i s = λ 3 3 ε 0 R

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