First slide

Electrostatic potential

Question

At distances of 5 cm and 10 cm from the surface of a sphere, the potentials are 600 V and 420 V. Find the potential at its surface

Moderate

A

650 V
B

850 V
C

1050 V
D

1250 V

Solution

$p o t e n t i a l a t d i s \tan c e 5 c m f r o m t h e s u r f a c e k \frac{q}{r + 0.05} = 600 V - - - (1) p o t e n t i a l a t a d i s \tan c e 10 c m f r o m t h e s u r f a c e k \frac{q}{r + 0.1} = 420 V - - - - (2) d i v i d i n g w e g e t r = 0.2 / 3 p o t e n t i a l a t t h e s u r f a c e k \frac{q}{r} = v - - - - (3) d i v i d i n g 1 b y 3 w e g e t v = 1050 V$

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