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A point charge 50 muC is located at a point 2 hat(i) + 3 hat(j). Find the electric field vector bar(E ) at a point with position vector 8 hat(i)- 5hat(j), when the position vectors are expressed in metre

Answer»

Solution :here `q= 50 xx 10^(-6)C`
`vec(r ) = (vec(r )_(2)-vec(r )_(1)) = (8 HAT(i) - 5hat(j)) - (2hat(i) + 3HAT(j)) = (6 hat(i) - 8hat(j))`
`bar(E )= (1)/(4pi in_(0)) (q)/(r^(3)) bar(r )RARR (9 xx 10^(9) xx 50 xx 10^(-6))/(1000) xx (6 hat(i) - 8hat(j))` then `bar(E )= 450 (6 hat(i) - 8hat(j))NC^(-1) = 900(3 hat(i) - 4hat(j))NC^(-1)`


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