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If the work done when a charge of [tex]$5.2 \times 10^{-13}$[/tex] coulombs is moved between two points is [tex]$4.7 \times 10^{-12}$[/tex] joules, what is the potential difference?

A. 4.7 volts
B. 5.2 volts
C. 9.0 volts
D. 10 volts
E. 12 volts

Sagot :

GinnyAnsweridn
To determine the potential difference (V) between two points, we can use the following formula from physics:

[tex]\[ V = \frac{W}{Q} \][/tex]

Where:
- [tex]\( W \)[/tex] is the work done (in joules)
- [tex]\( Q \)[/tex] is the charge (in coulombs)

Given that:
- [tex]\( W = 4.7 \times 10^{-12} \)[/tex] joules
- [tex]\( Q = 5.2 \times 10^{-13} \)[/tex] coulombs

We substitute these values into the formula:

[tex]\[ V = \frac{4.7 \times 10^{-12}}{5.2 \times 10^{-13}} \][/tex]

By evaluating this expression, we find:

[tex]\[ V = 9.038461538461538 \][/tex]

Therefore, the potential difference is approximately 9.0 volts. Hence, the correct answer is:

C. 9.0 volts
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