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Standard XIII

Physics

Potential Energy of a System of Multiple Point Charges

Two Charges Q...

Question

Two Charges $Q_{1}$ and $Q_{2}$ are as shown in the figure. A third charge $Q_{3}$ is moved from points A to B along a circular path. Change in potential energy of the system is

k Q_{1} Q_{2} Q_{3}

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4 k Q_{1} Q_{2}

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4 k Q_{2} Q_{3}

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\frac{2}{3} k Q_{2} Q_{3}

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Solution

The correct option is C $4 k Q_{2} Q_{3}$
$Δ U = U_{f} - U_{i} U_{f} = k [\frac{Q_{1} Q_{2}}{0.6} + \frac{Q_{2} Q_{3}}{0.2} + \frac{Q_{3} Q_{1}}{0.8}] Δ U = U_{f} - U_{i} = k Q_{2} Q_{3} [\frac{1}{0.2} - 1] = 4 k Q_{2} Q_{3}$

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Find K?

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Two Charges Q1 and Q2 are as shown in the figure. A third charge Q3 is moved from points A to B along a circular path. Change in potential energy of the system is

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Two Charges $Q_{1}$ and $Q_{2}$ are as shown in the figure. A third charge $Q_{3}$ is moved from points A to B along a circular path. Change in potential energy of the system is

The correct option is C $4 k Q_{2} Q_{3}$
$Δ U = U_{f} - U_{i} U_{f} = k [\frac{Q_{1} Q_{2}}{0.6} + \frac{Q_{2} Q_{3}}{0.2} + \frac{Q_{3} Q_{1}}{0.8}] Δ U = U_{f} - U_{i} = k Q_{2} Q_{3} [\frac{1}{0.2} - 1] = 4 k Q_{2} Q_{3}$