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A ring with radius R and a uniformly distributed total charge Q lies in the xy p

ID: 2132677 • Letter: A

Question

A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. Part A What is the potential V(z) due to the ring on the z axis as a function of z? Express your answer in terms of Q, z, R, and ?0 or k=14??0.
Part B What is the magnitude of the electric field E? on the z axis as a function of z, for z>0? Express your answer in terms of some or all of the quantities Q, z, R, and ?0 or k=14??0.
A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. Part A What is the potential V(z) due to the ring on the z axis as a function of z? Express your answer in terms of Q, z, R, and ?0 or k=14??0.
Part B What is the magnitude of the electric field E? on the z axis as a function of z, for z>0? Express your answer in terms of some or all of the quantities Q, z, R, and ?0 or k=14??0.
Part B What is the magnitude of the electric field E? on the z axis as a function of z, for z>0? Express your answer in terms of some or all of the quantities Q, z, R, and ?0 or k=14??0.

Explanation / Answer


Potential V(z) due to the ring = kQ / sq rt [z^2 + R^2]
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