Section 1
Introduction
Write the dimensions of $E / B$. Here, $E$ is the electric field and $B$ the magnetic field.
In the relation $\mathbf{F}=q(\mathbf{v} \times \mathbf{B})$, which pairs are always perpendicular to each other.
If a beam of electrons travels in a straight line in a certain region. Can we say there is no magnetic field?
A charge $q=-4 \mu \mathrm{C}$ has an instantaneous velocity $\mathbf{v}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}}) \times 10^{6} \mathrm{~m} / \mathrm{s}$ in a uniformmagnetic field $\mathbf{B}=(2 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}) \times 10^{-2} \mathrm{~T}$. What is the force on the charge?
A particle initially moving towards south in a vertically downward magnetic field is deflected toward the east. What is the sign of the charge on the particle?
An electron experiences a magnetic force of magnitude $4.60 \times 10^{-15} \mathrm{~N}$, when moving at an angle of $60^{\circ}$ with respect to a magnetic field of magnitude $3.50 \times 10^{-3} \mathrm{~T}$. Find the speed of the electron.
$\mathrm{He}^{2+}$ ion travels at right angles to a magnetic field of $0.80 \mathrm{~T}$ with a velocity of $10^{5} \mathrm{~m} / \mathrm{s}$. Find the magnitude of the magnetic force on the ion.