Electrostatics Question 420

Question: Two electric charges $ 12\mu C $ and $ -6\mu C $ are placed 20 cm apart in air. There will be a point P on the line joining these charges and outside the region between them, at which the electric potential is zero. The distance of P from $ -6\mu C $ charge is [EAMCET 2000]

Options:

A) 0.10 m

B) 0.15 m

C) 0.20 m

D) 0.25 m

Show Answer

Answer:

Correct Answer: C

Solution:

Point P will lie near the charge which is smaller in magnitude i.e. -6 m C.

Hence potential at P

$ V=\frac{1}{4\pi {\varepsilon _{0}}}\frac{(-6\times {{10}^{-6}})}{x}+\frac{1}{4\pi {\varepsilon _{0}}}\frac{(12\times {{10}^{-6}})}{(0.2+x)}=0 $

therefore x = 0.2 m



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