First slide

Force on a charged particle moving in a magnetic field

Question

A charged particle of mass $10^{- 3}$ kg and charge $10^{- 5}$ C enters a magnetic field of induction 1 T. If g = 10 $m s^{- 2}$ , for what value of velocity will it pass straight through the field without deflection?

Easy

A

$10^{- 3} m / s$
B

$10^{3} m / s$
C

$10^{6} m / s$
D

1m/s

Solution

$q v B = m g$ , $v = \frac{m g}{q B}$ $\Rightarrow$ $\frac{10^{- 3} \times 10}{10^{- 5} \times 1} = 10^{3} m / s$

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