Question

At a distance 5cm and 10cm from the surface of a sphere potential are 600V and 420V find the potential over its surface

Answer 1

Answer:

PHYSICS

At the distance of 5 cm and 10 cm from surface of a uniformly charged solid sphere, the potentials are 100 V and 75 V respectively. Then

This question has multiple correct options

December 20, 2019avatar

Novin Chandrasekaran

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ANSWER

Let R= radius of sphere and q= charge on sphere.

here, 100=

R+0.05

kq

⇒100R+5=kq...(1) and

75=

R+0.1

kq

⇒75R+7.5=kq...(2)

from (1) and (2), 75R+7.5=100R+5

or 25R=2.5⇒R=0.1m

using (1), kq=100(0.1)+5=10+5=15

V

surface

=

R

kq

=15/0.1=150V

Charge, q=15/k=

9×10

9

15

=50/3×10

−10

C where k=1/4πϵ

0

E

surface

=

R

2

kq

=

(0.1)

2

15

=1500V/m