A cube has a constant electric potential V on its surface. If there are no charges inside the cube, the potential at the center of the cube is
A. zero
B. V/8
C. V/6
D. V/2
E. V
(GR8677 #52)
Solution:
Gauss’ Law:
No charges inside the cube →qenc = 0 → E = 0
Electric field: E = ∇V
E = 0 → V = constant
Since the potential function has to remain continuous everywhere, at the center of the cube, potential is V.
Answer: E
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