First slide

Force on a charged particle moving in a magnetic field

Question

A proton is projected with a velocity of $\vec{V} = 200 (3 \hat{i} + 4 \hat{j}) m / s$ in a uniform magnetic field of $5 \hat{K} T$ . Then magnitude of force experienced by the proton just after projection is

Moderate

A

$12 \times 10^{- 14} N$
B

$8 \times 10^{- 16} N$
C

$5 \times 10^{- 19} N$
D

$18 \times 10^{- 17} N$

Solution

$\vec{F} = Q \vec{V} \times \vec{B} = 1.6 \times 10^{- 19} \times 200 (3 \hat{i} + 4 \hat{j}) \times 5 \hat{K} N$
$\Rightarrow F = 8 \times 10^{- 16} N$

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