Suppose that three charges q1 = -5 mu C, q2 = +8 mu C and q3 = -4 mu C, are fixe

Question

Suppose that three charges q1 = -5 mu C, q2 = +8 mu C and q3 = -4 mu C, are fixed at the points (1, 2,3), (8, 4, 2) and (3, 9 ,5), respectively. compute the potential difference between the points (5, 2, 1) and (7, 6, 2) by computing Delta V = V(5, 2, 1) - V(7,6,2). Assume that all positions are measured in meters. compute the potential difference delta v = V(5, 2, 1) - V(7, 6, 2). between the points (5, 2, 1) and (7, 6, 2) due to a constant electrostatic field given by E = (8i - 7J +15 k) N/C. Assume that all positions are measured in meters.

Explanation / Answer

the displacement vector would be :

r = (7-5 , 6-2 , 2-1) = (2 , 4 , 1)

so V = E . r = (8 , -7 , 15) . (2 , 4 , 1)

=> V = 8x2 + -7x4 + 15

=> V = 3 V

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