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A charge particle having charge 2 coulomb is thrown with velocity `2hat(i) + 3 hat(j)` inside a region having `vec(E) = 2 hat(j)` and magnetic field `5 hat(k)`. Find the initial Lorentz force acting on the particle

Answer» Lorentz force `vec(F) = q (vec(E) + vec(v) xx vec(B))`
`vec(F) = 2 [2 hat(j) + (2 hat(j) + 3 hat(j)) xx 5 hat(k)]`
`=2 [2 hat(j) + 10 (-hat(j)) + 15 hat(j)]`
`= 30 hat(i) - 16 hat(j)`


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