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A square with vertices A (0, 0), B (3 cm...

A square with vertices A (0, 0), B (3 cm, 0), C (3 cm, 3 cm) and D (0, 3 cm) is placed in a region of electric field `vecE=(x+y)hati+2y hatj Vm^(-1)`. Calculate the work done in slowly moving a charge of `0.1muC` (i) From A to B (ii) From C to D.

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To solve the problem, we need to calculate the work done in moving a charge of \(0.1 \, \mu C\) (which is \(0.1 \times 10^{-6} \, C\)) in an electric field given by \(\vec{E} = (x+y) \hat{i} + 2y \hat{j} \, V/m\). We will calculate the work done for two cases: (i) moving from A to B and (ii) moving from C to D. ### Step-by-Step Solution: #### Part (i): Work Done from A to B 1. **Identify the path from A to B**: - The coordinates of A are \((0, 0)\) and of B are \((3 \, cm, 0)\). ...
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