The electric field in a region is given by -(Eo + E₁) i, (Eo - E₁) i, (Eo + E₁) i, E = { for x < 0, for 0 < x < 1, for x > 1. The potential in x = 0 plane is Vo. (a) Find the electric potential in all three regions by solving the Laplace equa- tion. (b) Draw V(x) vs. x. 2€0 (c) Does your answer matches with that of problem 2, if Eo = 200, and E₁ = 240

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Chapter7: Electric Potential
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Problem 12CQ: Can a particle move in a direction of increasing electric potential, yet have its electric potential...
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4. The electric field in a region is given by
-(Eo + E₁) i,
(Eo - E₁) i,
(Eo + E₁) i,
Ē =
for x < 0,
for 0 < x < 1,
for x > 1.
The potential in x = 0 plane is Vo.
(a) Find the electric potential in all three regions by solving the Laplace equa-
tion.
(b) Draw V(x) vs. x.
(c) Does your answer matches with that of problem 2, if Eo = 20
go, and E1
=
01
2€0
Transcribed Image Text:4. The electric field in a region is given by -(Eo + E₁) i, (Eo - E₁) i, (Eo + E₁) i, Ē = for x < 0, for 0 < x < 1, for x > 1. The potential in x = 0 plane is Vo. (a) Find the electric potential in all three regions by solving the Laplace equa- tion. (b) Draw V(x) vs. x. (c) Does your answer matches with that of problem 2, if Eo = 20 go, and E1 = 01 2€0
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