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A charge of +3.1 × 10-16 coulombs is moved between two points, resulting in a potential difference of +15 volts. What is the magnitude of the work done on that charge?


2.3 × 10-15 joules


4.7 × 10-15 joules


3.1 × 10-15 joules


9.2 × 10-15 joules

Verified Answer :

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Answer:

Work done, \(W=4.65\times 10^{-15}\ J\)

Explanation:

It is given that,

Magnitude of charge, \(q=3.1\times 10^{-16}\ C\)

Potential difference between two points, \(\Delta V=+15\ Volts\)

We have to find the magnitude of work done on that charge. The relationship between the work done and the potential difference is given by :

\(\Delta V=\dfrac{W}{q}\)

\(W=15\ V\times 3.1\times 10^{-16}\)

\(W=4.65\times 10^{-15}\ J\)

or

\(W=4.7\times 10^{-15}\ J\)

Hence, the magnitude of work done on the charge is \(4.65\times 10^{-15}\ J\)