1.

A point charge 50 mu Cis located at a point 2hati + 3hatj . Find the electric field vector vec(E) at a point with position vector 8hati - 5hatj, 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 hati - 5hatj) = (2 hati + 3hatj) = (6hati - 8hatj)`
`bar(E ) = 1/(4 pi epsilon_0) q/(r^3) vecr implies (9 xx 10^(9) xx 50 xx 10^(-6))/(1000) xx (6 hati - 8 hatj)`
then `bar(E) = 450 (6 hati - 8 hatj) NC^(-1) = 900 (3hati - 4hatj) NC^(-1)`.


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