First slide
Electrostatic potential energy
Question

A two point charges 4q and  q are fixed on the x-axis at  x=d2 and  x=d2, respectively. If a third point charge ‘q’ is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the charge will :

Moderate
Solution

The change is only due to 4q
Charge q distance from  "q" is not changing.
So ΔU=4qq4π013d/21d/2 =4q23π0d

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