Gujarati
Hindi
4.Moving Charges and Magnetism
medium

The figure shows three situations when an electron moves with velocity $\vec v$ travels through a uniform magnetic field $\vec B$. In each case, what is the direction of magnetic force on the electron

A

$+ve\,\,z-$ axis, $-ve\,\,x-$ axis, $+ve\,\,y-$ axis

B

$-ve\,\,z-$ axis, $-ve\,\,x-$ axis and zero

C

$+ve\,\,z-$ axis, $+\,ve\,\,x-$ axis and zero

D

$-ve\,\,z-$ axis, $+ve\,\,x-$ axis and zero

Solution

$1.$ $\vec{F}_{m}=(-e)(-v \hat{i} \times B \hat{j})=-$Bev $\hat{k}$ i.e. $-z$ $-axis$

$2.$ $\vec{F}_{m}=(-e)(-v \hat{j} \times B \hat{k})=-$Bev$\hat{i}$ ie. $-x$ $-axis$

$3.$ $\vec{F}_{m}=(-e)(-v \hat{j} \times B \hat{k})=0$

Alternatively, use Fleming's left hand rule.

Standard 12
Physics

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