Four equal negative charges, of magnitude 3C are situated at the corners of a square, with a length of side equal to 5. A small test charge ?

Question

of 0.09Coulombs is placed in the exact centre of the square. What is the magnitude of the potential energy of the test charge? Give your answer in GJ

please show step by step workings

Answer 1

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For this configuration and assuming the side length is 5 m,

PE = 4kQq / d

PE = 4*8.99e9N·m²/C²*3C*0.09C / (5m / √2)

PE = 2.7 GJ