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The magnetic force acting on a charged ...

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)`, is

A

`8 N` in `-z` direction

B

`4 N` in `z` direction

C

`8 N` in `y` direction

D

`8 N` in `z` direction

Text Solution

Verified by Experts

The correct Answer is:
A
When a charge `q` moves with velocity `vec(v)` inside magnetic field of strenght `vec(B)`, then force on charge is called magnetic Lorentz force. The magnetic Loretz force is in the direction of vector `vec(V) xx vec(B)`.
Magnetic Lorentz force `vec(F) = q(vec(V) xx vec(B))`
`= -2xx10^(-6)[2xx2xx10^(6)]`
`= 8 N` along negative z -axis
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Knowledge Check

  • The magnetic force acting on a charged particle of charge- 2muc in a magnetic field of 2T acting in y direction, when the particle velocity is (2hati+3hatj) xx10^6ms^(-1) , is

    A
    N in-z direction
    B
    4N in z direction
    C
    N in y direction
    D
    8 in z direction

  • The magnetic force action on a charged particle of charge -2muC in a magnetic field of 2T acting in y direction , when the particle velocity is (2hati+3hatj)xx10^6ms^(-1) , is

    A
    4 N in x direction
    B
    8 N in x direction
    C
    8 N in z direction
    D
    8 N in -z direction

  • The force acting on a particle of charge q moving in a uniform magnets field with velocity v is

    A
    parallel to both `vecv` and `vecB`
    B
    perpendicular to both `vecv` and `vecB`
    C
    parallel to `vecv` and perpendicular to `vecB`
    D
    perpendicular to `vecv` and parallel to `vecB`

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