The work done by the electric field when moving the charge from a to b is 0.0378 J.
Distance between a and b
r = √[(a₂ - a₁)² + (b₂ - b₁)²]
r = √[(3 - 6)² + (4 - 0)²]
r = 5 m
Work done in moving the charge
W = Fr
W = kq₁q₂/r
W = (9 x 10⁹ x 2.1 x 10⁻⁵ x 1 x 10⁻⁶)/(5)
W = 0.0378 J
Thus, the work done by the electric field when moving the charge from a to b is 0.0378 J.
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