An electric field in free space is given by E = xax + yay + zaz V/m. Find the work done in moving a 1-µC charge through this field (a) from (1, 1, 1) to (0, 0, 0); (b) from (ρ = 2, ϕ = 0) to (ρ = 2, ϕ = 90°); (c) from (r = 10, θ = θ0) to (r = 10, θ = θ0+ 180°).
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