Question

A thin ring of charge of radius R lies in the x-y plane and is centered on the z-axis. The linear charge density, l, of the loop depends on the in-plane angle with respect to the x-axis, f. It is given by ______________.

Answer 1

Linear charge density (I) = Q/2πR

Step-by-step explanation:

Linear charge density (I) = charge (Q) per unit length(L)

I = Q/L

For a thin ring of charge with radius R, the length will be equal to the circumference of a circle.

Circumference of a circle = 2πR

Then, the length of the thin ring of charge is 2πR

Linear charge density (I) = Q/2πR

Therefore, for a thin ring of charge of radius R, which lies in the x-y plane and is centered on the z-axis. The linear charge density, l, of the loop is given by Q/2πR