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Question


r1=1 m
r2=2 m
r3=3 m

Figure shows some equipotential surfaces [Spherical in shape]

A
Electric field in the region is directed radialy outwards.
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B
Magnitude of electric field is E=6r
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C
Magnitude of electric field is E=6r2
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D
Electric field decreases as we move radialy outwords.
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Solution

The correct options are
A Electric field in the region is directed radialy outwards.
B Magnitude of electric field is E=6r
Let E=crn by dV=E.dr
110dv=21crndr 9=Cr+1(2n+11) ---(1)
1410dv=31crndr 24=Cn+1(3n+11) ---(2)
By (2) ÷ (1) 83=(3n+11)(2n+11)
By hit and trial n = 1
By (1) 9=C2(221)
C = 6
So E = 6r

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