Question: Determine the electric field due to the following potentials: (a) V= x2 + 2y2 + 4z2 (b) V = sin(x2 + y2 + z2)1/2 (c)

Determine the electric field due to the following potentials:
(a) V= x2 + 2y2 + 4z2
(b) V = sin(x2 + y2 + z2)1/2
(c) V = ρ2(z + l)sin Φ
(d) V = e–r sin θ cos 2Φ

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