A ring lies in the xy plane, centered at the origin. It has a radius of R and a uniformly distributed total charge Q.What is the potential V(z)?

Tyra

Tyra

Answered question

2021-09-05

A ring lies in the xy plane, centered at the origin. It has a radius of R and a uniformly distributed total charge Q. Due to the ring on the z-axis, as a function of z, what is the potential V(z)?

Answer & Explanation

aprovard

aprovard

Skilled2021-09-06Added 94 answers

V(r)=14πε0×Qr (a)
r2=R2+z2
r=R2+z2 (b)
Substitue (b) to (a) to get the potential at the z-axis:
V(r)=14πε0×QR2+z2

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