A thin circular ring has a radius R and charge3 Q distributed uniformly over its length. What is the electric potential at the center of the ring? Hint: this is very easy since every point on the ring is the same distance from the center. Therefore you don't need to integrate. а. P 3Q, R b. What is the electric potential at a distance z along the axis of the thin ring? Comment: each point on the ring is still the same distance from point P. 3Q, R

icon
Related questions
Question
100%
3. A thin circular ring has a radius R and charge3 Q distributed uniformly over its length.
What is the electric potential at the center of the ring? Hint: this is very easy since every point on the ring is the
same distance from the center. Therefore you don't need to integrate.
а.
3Q, R
b. What is the electric potential at a distance z along the axis of the thin ring? Comment: each point on the ring is
still the same distance from point P.
3Q, R
Transcribed Image Text:3. A thin circular ring has a radius R and charge3 Q distributed uniformly over its length. What is the electric potential at the center of the ring? Hint: this is very easy since every point on the ring is the same distance from the center. Therefore you don't need to integrate. а. 3Q, R b. What is the electric potential at a distance z along the axis of the thin ring? Comment: each point on the ring is still the same distance from point P. 3Q, R
Expert Solution
Step 1 a

lets take a small element on ring of length dl, and charge on this element is dq.

linear charge density on ring λ=QL=3Q2πR

charge on small element dq=λdl

now potential due to a small charge dq at distance R, dV=kdqR

all the element on ring are at same distance from center.

potential due to ring on it's center

 V=dV=02πRkdqR           =02πRkλdlR           =kλ(2π)         V =3kQR

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS