Calculate the energy expended in moving a point charge 500 (pC) from P1(2,π/3,−1) to P2(4, −π/2, −1) in an electric field E = ar6r sin ϕ + aϕ 3r cos ϕ (V/m) by
a) first moving from ϕ = π/3 to − π/2 at r = 2, then from r = 2 to 4 at ϕ = −π/2, and
b) first moving from r = 2 to 4 at ϕ = π/3, then from ϕ = π/3 to −π/2 at r = 4.
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