First slide

Electrostatic potential

Question

Two point charges are kept at a separation $r$ , magnitude of electric force experienced by each charge is F. If the separation between the charges is halved, electro static potential energy stored in the system is

Moderate

A

$4 r F$
B

$\frac{1}{4} r F$
C

$2 r F$
D

$\frac{1}{2} r F$

Solution

$F = K \frac{Q_{1} Q_{2}}{r^{2}} and U = K \frac{Q_{1} Q_{2}}{r / 2} = 2 r (\frac{K Q_{1} Q_{2}}{r^{2}}) = 2 r F$

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