Question

Four identical charged particles (q = +20.0 C) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 59.0 cm and W = 10.0 cm. Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. n - + -X

Answer 1

Find the potential at the lower left corner. Find the potential difference between this corner and infinity and use it to find potential energy change as shown below

Í L iq w r=u2? + w = 50.59² +0.1² = 0.598 m potential at p due to the three charges is, Vp = kalo + kalt ka = K (201) [o sgom + osam + enemy = 2:41X106 v at infinity, Vo=0 So AV = Vp - Vo = (2-41X 106V)-0 = 2:41X 106V 40= wav = (2016) (2.41X106 ) = 48:15

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