The magnetic force acting on a charged particle of charge `-2 muC` in a magnetic field of `2 T` acting `y` direction, when the particle velocity is `(2i + 3 hat(j)) xx 10^(6) ms^(-1)`, isA. 8 N in z-directionB. 8 N in -z-directionC. 4N in z-directionD. 8N in y-direction

The magnetic force acting on a charged particle of charge `-2 muC` in

1.	The magnetic force acting on a charged particle of charge `-2 muC` in a magnetic field of `2 T` acting `y` direction, when the particle velocity is `(2i + 3 hat(j)) xx 10^(6) ms^(-1)`, isA. 8 N in z-directionB. 8 N in -z-directionC. 4N in z-directionD. 8N in y-direction
Answer» Here `q=-2muC=-2xx10^-6C`, `vecB=2hatjT`, `vecv=(2hati+3hatj)xx10^6ms^-1` Now force on charged particle, `vecF=q(vecvxxvecB)` `=-2xx10^-6[(2hati+3hatj)xx10^6xx2hatj]` `=-2xx10^-6xx10^6[(2hati+3hatj)xx(2hatj)]` `=-2[4hatk][ As hatixxhatj=hatk, hatjxxhatj=0]` `=-8hatk` [ 8N along -Z direction]

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The magnetic force acting on a charged particle of charge `-2 muC` in a magnetic field of `2 T` acting `y` direction, when the particle velocity is `(2i + 3 hat(j)) xx 10^(6) ms^(-1)`, isA. 8 N in z-directionB. 8 N in -z-directionC. 4N in z-directionD. 8N in y-direction

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