1) Two charges are placed on the x-axis, a +q charge at x-a and a -q charge at X=-a. a) Find magnitude and direction of electric field at x-0. b) Find the electric potential at x=0 provided that electric potential at infinity is zero.

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Chapter7: Electric Potential
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1) Two charges are placed on the x-axis, a +q charge at x-a and a -q charge at
X--a.
a) Find magnitude and direction of electric field at x-0.
b) Find the electric potential at x-0 provided that electric potential at infinity is
zero.
2) The concentric spherical shells in figure contain
uniformly distributed charges Qi at R1 and Q2 at R2. Use
Gauss' Law to find the electric field
Q1
R
a) for r< RI,
b) for Ri<r< R2,
c) for r> R2.
R
Q
3) For the configuration in question (3) find the electric potential
a) for r< R1,
b) for Ri<r< R2,
c) for r> R2.
Do not forget that the electric potential has to be continuous at the boundaries of
the regions.
Transcribed Image Text:1) Two charges are placed on the x-axis, a +q charge at x-a and a -q charge at X--a. a) Find magnitude and direction of electric field at x-0. b) Find the electric potential at x-0 provided that electric potential at infinity is zero. 2) The concentric spherical shells in figure contain uniformly distributed charges Qi at R1 and Q2 at R2. Use Gauss' Law to find the electric field Q1 R a) for r< RI, b) for Ri<r< R2, c) for r> R2. R Q 3) For the configuration in question (3) find the electric potential a) for r< R1, b) for Ri<r< R2, c) for r> R2. Do not forget that the electric potential has to be continuous at the boundaries of the regions.
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