Electrostatics Question 394
Question: If a charged spherical conductor of radius $ 10cm $ has potential $ V $ at a point distant $ 5cm $ from its centre, then the potential at a point distant $ 15cm $ from the centre will be [SCRA 1998; JIPMER 2001, 02]
Options:
A) $ \frac{1}{3}V $
B) $ \frac{2}{3}V $
C) $ \frac{3}{2}V $
D) $ 3V $
Show Answer
Answer:
Correct Answer: B
Solution:
Potential inside the sphere will be same as that on its surface i.e.
$ V=V _{surface}=\frac{q}{10}statvolt $ ,
$ V _{out}=\frac{q}{15}statvolt $
$ \frac{V _{out}}{V}=\frac{2}{3} $
therefore $ V _{out}=\frac{2}{3}V $
