As shown below, a neutral conductor has a hollow cavity within it. When a point
ID: 1430284 • Letter: A
Question
As shown below, a neutral conductor has a hollow cavity within it. When a point charge q = +6.8 nC is placed into this cavity: How much charge will be found on each surface of the conductor? Inner: outer: In which region(s) will the net electric field (E) be the same as that caused by q alone? (Select alt that apply.) inside the inner cavity inside the material of the conductor outside of the conductor Repeat parts a & b if the conductor is grounded. Charge on conductor surfaces: inner: outer: Region(s) where E is the same as that caused by q alone: inside the inner cavity inside the material of the conductor outside of the conductor If the conductor was initially not neutral but has its own net charge of q_2 = +3.q, please re-answer part a: Charge on conductor surfaces: inner: outer: In the regions below, the E that would be observed is the same as that caused by what point charge? (Express as a multiple of q.)Explanation / Answer
a)
Due to induction, the charge on the inner surface = -(q) = - 6.8nC
For charge neutrality on the whole conductor, charge on the outer surface = +q = +6.8 nC
b)
Answer :
1) inside the inner cavity
2)outside the conductor
Now, electric field inside the material of the cunductor is 0 <---- By Gauss Law,
but for each every point the electric field is due to as if the only charge is present
c)
if the conductor is grounded,
charge on the inner surface = -6.8 nC
on the outer surface = 0 C <--- as all the charges are carried out to the ground
E is the same as that by q alone :
---- > inside the inner cavity
d)
inner = -6nC
outer = (3q - (-q)) = 4q = 4*(6.8) = 27.2 nC
E will be caused:
inside the cavity = q
outside the conductor = +4q
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