Electrostatics Question 403
Question: Electric charges of $ +10\mu C,\ +5\mu C,\ -3\mu C $ and $ +8\mu C $ are placed at the corners of a square of side $ \sqrt{2} $ m. the potential at the centre of the square is [KCET (Engg./Med.) 1999]
Options:
A) 1.8 V
B) $ 1.8\times 10^{6} $ V
C) $ 1.8\times 10^{5} $ V
D) $ 1.8\times 10^{4} $ V
Show Answer
Answer:
Correct Answer: C
Solution:
Length of each side of square is so distance of it’s centre from each corner is $ \frac{\sqrt{2}}{\sqrt{2}}=1m. $ Potential at the centre $ V=9\times 10^{9}[ \frac{10\times {{10}^{-6}}}{1}+\frac{5\times {{10}^{-6}}}{1}-\frac{3\times {{10}^{-6}}}{1}+\frac{8\times {{10}^{-6}}}{1} ] $
$ =1.8\times 10^{5}V $
