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A chagre particle having charge 2 C is t...

A chagre particle having charge 2 C is thrown with velocity `2hati+3hatj` inside a region `E=2hatj` and magnetic field `5hatk` Find the initial Lorentz force action on the particle

Text Solution

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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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