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

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Answer:

Work done, [tex]W=4.65\times 10^{-15}\ J[/tex]

Explanation:

It is given that,

Magnitude of charge, [tex]q=3.1\times 10^{-16}\ C[/tex]

Potential difference between two points, [tex]\Delta V=+15\ Volts[/tex]

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 :

[tex]\Delta V=\dfrac{W}{q}[/tex]

[tex]W=15\ V\times 3.1\times 10^{-16}[/tex]

[tex]W=4.65\times 10^{-15}\ J[/tex]

or

[tex]W=4.7\times 10^{-15}\ J[/tex]

Hence, the magnitude of work done on the charge is [tex]4.65\times 10^{-15}\ J[/tex]

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