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A magnetic force acting on a charged particle of charge -2µC in a magnetic field of 2T

A magnetic force acting on a charged particle of charge -2µC in a magnetic field of 2T acting in y direction, when the particle velocity is (2i + 3j) x 10⁶ m/s, is

Options

(a) 4 N in z direction
(b) 8 N in y direction
(c) 8 N in z direction
(d) 8 N in -z direction

Correct Answer:

8 N in -z direction

Explanation:

The magnetic force acting on the charged particle is given by F⃗ = q(v⃗ x B⃗)
= (-2 x 10⁻⁶) [ { 2i + 3j) x 10⁶} x (2i) ]
= – 4 (2k) = – 8k
Force is of 8N along -z-axis.

AIPMT2009
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