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An electric field is given by vec(E )=(y...

An electric field is given by `vec(E )=(yhat(i)+xhat(j))NC^(-1)`. Find the work done (in j) by the electric field in moving a 1 C charge form `vecr_(A)=(2 hat(i)+2 hat(j))m` to `vecr_(B)=(4 hat(i)+hat(j))m`.

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`W=q int_(r_A)^(r_B) vec E. vec dr`
`=1 times int_(0.2)^(4.1) (E_x dx +E_y dy),=1 times int_(2.2)^(4.1) (ydx+xdy)= int_(2.2)^(4.1) d(xy),[xy]_(2.2)^(4.1)=4 times 1-2 times 2=0`
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