Question

Four * 1 μC point charges are at the corners of a square of side 3 m. Find the potential at the center of the square (relative to zero potential at infinity) for each of the following conditions. (a) All the charges are positive kV (b) Three of the charges are positive and one is negative kV (c) Two are positive and two are negative kV eBook Submit Answer Save Progress Practice Another Version +3 points Tipler8 23 P028 My Notes Ask Your Points A, B, and C are at the corners of an equilateral triangle of side 4.00 m. Equal positive charges of 3.00 HC are at A and B (a) What is the potential at point C? kV (b) How much work is required to bring a positive charge of 5.00 HC from infinity to point C if the other charges are held fixed? (c) How much additional work is required to move the +5.00 HC point particle from point C to the midpoint of side AB?

Answer 1

(a) V_1 = 4 kq times squareroot 2/3 v = 4 times 9 times 10^9 times 1 times 10^-6 times squareroot 2/3 v = 16970.56275 = 16.97 kv V_1 = 16.97 kv (b) V_2 = 3kq squareroot 2/3 = 9 times 10^9 times 1 times 10^-6 times squareroot 2 = 12727.9 calculate from single - charge V_2 = 12.72 kv (-4242.7v). (c) V_3 = 0 kv.