Solution Let the magnetic field beB→=Bn^We have,F→=q(V→×B→)-2ek^=(−e)(2j^×Bn^)k^=(j^×Bn^)Ask^ =i^×j^n^ =-i^B→=-i^If electron moves in directionV→ =voi^+2j^F→=q(V→×B→) = (-e)voi^+2j^×-i^=2evo-k^

Phy que 15.

Solution

L e t t h e m a g n e t i c f i e l d b e \vec{B} = B \hat{n} W e h a v e, \vec{F} = q (\vec{V} \times \vec{B}) - 2 e \hat{k} = (- e) (2 \hat{j} \times B \hat{n}) \hat{k} = (\hat{j} \times B \hat{n}) A s \hat{k} = \hat{i} \times \hat{j} \hat{n} = - \hat{i} \vec{B} = - \hat{i} I f e l e c t r o n m o v e s i n d i r e c t i o n \vec{V} = v_{o} (\hat{i} + 2 \hat{j}) \vec{F} = q (\vec{V} \times \vec{B}) = (- e) (v_{o} (\hat{i} + 2 \hat{j})) \times (- \hat{i}) = 2 e v_{o} (- \hat{k})

View Full Answer