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Find the instantaneous direction of force in following case (magnetic field and velocity are indicated) |
Answer» As charge is positive, the direction of force is same as direction of `(vec(v) xx vec(B))`. So by Right hand thumb rule, curling the fingers of right hand from `vec(v) " to " vec(B)` thumb extends in direction of `-x`. Thus magnetic force at the instant shown is along `-hat(i)` direction. We can also do the problem by writing v and B in vector form. `vec(v) = v vec(j)` `vec(B) = B (-hat(k))` `vec(F) = q (vec(v) xx vec(B)) = q (v hat(j) xx B (-hat(k))` `= -qvB [hat(j) xx hat(k)]` `= - q v B hat(i)` Thus magnetic force is in `(-hat(i))` direction |
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