Electric Charges & Fields | Electric Field Due To Infinite Line Charge

An infinite line charge produces a field of 18 x 10¹⁰ NC^-1 at a distance of 1 m. The linear charge density is-

A. 10 C m^-1

B. 2 x 10^-1 C m^-1

C. 2 x 10^-2 C m^-1

D. 2 x 10^-3 C m^-1

Two parallel infinite line charges with linear charge densities +λ C/m and -λ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?

A. Zero

B. 2λ/πε_oR

C. λ/πε_oR

D. λ/2πε_oR

Alpha particle is revolving around an infinitely long line charge of linear charge density λ at perpendicular distance r from it. The centripetal force on the particle is-

A. λe / 2πε_or

B. λe / πε_or

C. λe / 4πε_or

D. λe / πrε_or²

An infinite line charge is at the axis of a cylinder of length 1 m and radius 7 cm. If electric field at any point on the curved surface of cylinder is 250 N/C, then net electric flux through the cylinder is-

A. 1.1 x 10² Nm²C^-1

B. 9.74 x 10^-6 Nm²C^-1

C. 5.5 x 10⁶ Nm²C^-1

D. 2.5 x 10² Nm²C^-1