5. Three point-like charges are placed at the corners of a rectangle as shown in

Question

5. Three point-like charges are placed at the corners of a rectangle as shown in the figure, a = 20.0 cm and b-48.0 cm. What is the electric potential at the empty corner Let q1 = +13.0 C, 42 =-38.0 C, q3 = +36.0 C? 43 6. When a point charge of (+) is placed at corner (A) of a square (see figure), the electric potential at the center of the square is found to equal 6.10 × 10-2 V. What is the electric potential at the center of the square when a charge (+q) is placed at corner (A), a charge (+q) is placed at corner (B), a charge (-q) is placed at corner (C), and a charge (+q) is placed at corner (D)?

Explanation / Answer

given,

q1 = 13 uC

q2 = -38 uC

q3 = 36 uC

electric potential = k * q / r

electric potential due to q1 = 9 * 10^9 * 13 * 10^-6 / 0.48

electric potential due to q1 = 243750 V

electric potential due to q2 = 9 * 10^9 * -38 * 10^-6 / (0.48^2 + 0.2^2)

electric potental due to q2 = -1264792.89941 V

eletric potential due to q3 = 9 * 10^9 * 36 * 10^-6 / 0.2

electric potential due to q3 = 1620000 V

net potential = 243750 - 1264792.89941 + 1620000

net potential at empty corner = 598957.10059 V

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