Question

A metal sphere of radius R = 0.44 m carries
surfaces formed due to this sphere with a potential
charge Q = 0.50 microClomb. Consider equipotential
difference of 100 V between two consecutive
surfaces. Then, which of the following statements
is/are correct?
(1) Radius of 100 equipotential is approximately
20 m
(2) Equipotentials are equally spaced
(3) Radius of equipotentials increases rapidly
when we move away from the surface of
sphere
(4) Equipotentials become elliptical very far away
from sphere​

Answer 1

Answer:

Using, dV=−

E

⋅

dr

ΔV=−E⋅Δrcsθ

E=

Δrcosθ

−ΔV

E=

10×10

−2

cos120

0

−(−20−10)

=

10×10

−2

(−sin30

0

)

−10

=

−1/2

−10

2

=200V/m

direction of E be perpendicular to the equipotential surface i.e., at 120

0

with x− axis.

Hence,

option (C) is correct answer.

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