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Question

Question: The potential at a point due to a charge of \(5 \times 10^{- 7}C\) located 10 cm away is....

The potential at a point due to a charge of 5×107C5 \times 10^{- 7}C located 10 cm away is.

A

3.5×105V3.5 \times 10^{5}V

B

3.5×104V3.5 \times 10^{4}V

C

4.5×104V4.5 \times 10^{4}V

D

4.5×105V4.5 \times 10^{5}V

Answer

4.5×104V4.5 \times 10^{4}V

Explanation

Solution

: Here, q=5×107C,r=10cm=0.1mq = 5 \times 10^{- 7}C,r = 10cm = 0.1m

Potential,V=14πεoqr=9×10o×5×1070.1=4.5×104VV = \frac{1}{4\pi\varepsilon_{o}}\frac{q}{r} = \frac{9 \times 10^{o} \times 5 \times 10^{- 7}}{0.1} = 4.5 \times 10^{4}V