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Moving a charge from point A, where the potential is 356.86 V, to point B, where the potential is 112.27 V, takes 0.91 milliJ of work. What is the value of the charge, in micro-Coulombs?

Answer :

Given:

Point A has a potential

[tex]V_A\text{ =356.86 V}[/tex]

Point B has a potential

[tex]V_B=\text{ 112.27 V}[/tex]

The work done is W = 0.91 mJ

To find the charge in micro Coulombs.

Explanation:

The charge can be calculated as

[tex]\begin{gathered} Q=\frac{W}{V_B-V_A} \\ =\frac{0.91\times10^{-3}}{112.27-356.86} \\ =-3.72\times10^{-6}\text{ C} \\ =-3.72\text{ }\mu C \end{gathered}[/tex]

The charge is -3.72 micro Coulomb

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