Three point charges with values = 6.00 , = 3.00 , and = 5.00 are placed on three

Question

Three point charges with values = 6.00 , = 3.00 , and = 5.00 are placed on three consecutive corners of a square whose side measures = 3.00 . Point A lies at the fourth corner of the square, diagonally across from . Point B lies at the center of the square.

A)What are the values of the electric potential at point A and at point B? in Volts

B)How much energy (supplied as work) is required to move a test charge = 2.00 from point A to point B? Assume the zero of electric potential is chosen to be at infinity.

Explanation / Answer

Three point charges with values q1 = 6.00 C, q2 = 3.00 C, and q3 = 5.00 C are placed on three consecutive corners of a square whose side measures a = 3.00 m. Point A lies at the fourth corner of the square, diagonally across from . Point B lies at the center of the square.

A)What are the values of the electric potential at point A and at point B? in Volts
VA = kq1/a + kq2/a + kq3/a = k(q1 + q2 + q3)/a = 4.20*10^4 V b = a/2 VB = kq1/b + kq2/b + kq3/b = 2 k(q1 + q2 + q3)/a = 5.94*10^4 V B)How much energy (supplied as work) is required to move a test charge q = 2.00 C from point A to point B? Assume the zero of electric potential is chosen to be at infinity. W = q(VB - VA) = 0.0348 J

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