2. Suppose a ring-shaped thin metal sheet charged with a uniform surface charge density Ps and a finite wire of length 2L with a uniform line charge density pi. The sheet has an inner and outer radius given by a and b and the center of the wire coincides with the center of the ring, as shown in the illustration. a (1) Use Coulomb’s Law to calculate the electric field at z > L and z < -L. (2) Under what conditions, can you make the electric field at z equal to zero for z >L and z <-L?

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2. Suppose a ring-shaped thin metal sheet charged with a uniform surface charge density Ps and
a finite wire of length 2L with a uniform line charge density pı. The sheet has an inner and
outer radius given by a and b and the center of the wire coincides with the center of the ring,
as shown in the illustration.
a
(1) Use Coulomb's Law to calculate the electric field at z> L and z <-L.
(2) Under what conditions, can you make the electric field at z equal to zero for z > L and z
<-L?
(3) Apply the result of (1) to calculate the electric field of an infinite surface charge.
Transcribed Image Text:2. Suppose a ring-shaped thin metal sheet charged with a uniform surface charge density Ps and a finite wire of length 2L with a uniform line charge density pı. The sheet has an inner and outer radius given by a and b and the center of the wire coincides with the center of the ring, as shown in the illustration. a (1) Use Coulomb's Law to calculate the electric field at z> L and z <-L. (2) Under what conditions, can you make the electric field at z equal to zero for z > L and z <-L? (3) Apply the result of (1) to calculate the electric field of an infinite surface charge.
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