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+1 vote
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in Electric Potential by (57.3k points)
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(a) Calculate potential at a point at 9 cm distance due to charge 4 × 10-7 C.
(b) Determine the work done in bringing a charge of 2 × 10-9 C from infinity to that point. Does this work depend upon the path along which it was brought?

2 Answers

+1 vote
by (17.0k points)
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Best answer

(a) Here, q = 4 × 10−7C,

r = 9cm = 9 × 10−2m, V = ?

\(V = \frac q{4\pi \in_0 r}\)

\(= 9\times 10^9\frac{(4\times10^{-7})}{9\times 10^{-2}}\)

\(= 4\times 10^4 \) volt

(b) \(W = q \times v\)

\(= (2 \times 10^{-9}) \times 4 \times 10^4\)

\(= 8 \times 10^{-5}J\)

The answer does not depend upon the path along which the charge is brought because electrostatic forces are conservative forces.

+2 votes
by (61.1k points)

(a) Potential at point P

(b) Work done in bringing charge 2 × 10-9 C from infinity to point P
W = qV
= 2 10-9 C × 4 × 104 V
= 8 × 105 J
This work done does not depend on path follows.

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