Multiple-Choice Homework Problem 15.9 A uniform surface charge lies in the x ? y
ID: 1431811 • Letter: M
Question
Multiple-Choice Homework Problem 15.9 A uniform surface charge lies in the x ? y plane. Above the plane, the electric field is E?above = ?500.0N/Cˆz. Below the plane, the electric field is E?below = +200.0N/Cˆz, so both fields point toward the plane. Note, the system must be part of a larger system since the outer field is not equal but opposite. Compute the surface charge density of the plane. (a) 6.2nC m2 (b) ?6.2nC m2 (c) +2.7nC m2 (d) ?2.7nC m2 (e) 0
Multiple-Choice Homework Problem 15.10 Two infinite parallel planes of fixed charge density ? and ?3? are held a distance d apart as shown in the fig- ure to the right. A neutral conducting slab of thick- ness d/2 is inserted between the plates. Compute the magnitude of the potential difference between the plates.
(a) |?V | = ?d/?0
(b) |?V | = 2?d/?0
(c)|?V|= ?d/2?0
(d) |?V | = 4d?/?0
(e) |?V | = 5?d 2?0
Explanation / Answer
15.9 :
surface charge density sigma = E e o
sigma = (-500 + 200) * 8.85 e -12
sigma = -2.7 nCm^2
option D
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15.10
V = E d
V = (sigma1+ sigma2/2eo) *d
V = ( 3)*d/2eo
V = -2d/2eo
V = -d/eo (ANSWER)
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