The magnetic force acting on a charged particle of charge −2 μC in a magnetic field of 2 T acting in y direction, when the particle velocity is 2i^ + 3j^ × 106 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

Solution:

When a charge q moves with velocity $\vec{v}$ inside magnetic field of strength $\vec{B}$ , then force on charge is called magnetic Lorentz force. The magnetic Lorentz force is in the direction of vector $\vec{V} \times \vec{B}$ .

Magnetic Lorentz force $\vec{F} = \vec{q} (\vec{V} \times \vec{B})$

$= - 2 \times 10^{- 6} [2 \times 2 \times 10^{6}]$ $\hat{k}$

= 8 N along negative z-axis

The magnetic force acting on a charged particle of charge $- 2 μC$ in a magnetic field of 2 T acting in y direction, when the particle velocity is $(2 \hat{i} + 3 \hat{j}) \times 10^{6} {ms}^{- 1},$ is

Solution:

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