An electric field is given by E→=yi^+xj^N/C . Find the work done (in J) by electric field in moving a 1C charge from rA→=2 i^+2 j^ m to rB→=4i^+j^m
W=q∫rArBE→.dr→=1∫(2,2)(4, 1)Exdx+Eydy =1∫(2,2)(4, 1)ydx+xdy=∫(2, 2)(4,1)dxy=xy(2, 2)(4,1) =4×1−2×2=4−22=1.17