If V = 2x2y + 20z – 4/(x2 + y2), find the density at A(6, -2.5, 3) in nC/m2.

If V = 2x2y + 20z – 4/(x2 + y2), find the density at A(6, -2.5, 3) in nC/m2. Correct Answer 0.531i – 0.6373j – 0.177k

Find E from V, E = -Grad (V). We get E at A(6,-2.5,3) as 59.97i – 71.98j -20k. Thus D = εE = 8.854 X 10-12 X (59.97i – 71.98j -20k) = (0.531i – 0.6373j – 0.177k) nC/m2.

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