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A positive charge Q=50 muC is located in...

A positive charge `Q=50 muC` is located in the xy plane at a point having position vector `vec(r)_(0)=(2hat(i)+3hat(j))m`
where `hat(i)` and `hat(j)` are unit vectors in the positive directions of X and Y axis respectively. Find :
(a) The electric intensity vector and its magnitude at a point having co-ordinates (8m, -5m).
(b) Work done by external agent in transporting a charge `q=10 muC` from (8m, 6m) to the point (4m, 3m).

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