Embibe Experts Solutions for Chapter: Magnetic Effect of Current, Exercise 2: Exercise - 2

A particle is moving with velocity $\overrightarrow{v}=\hat{\mathrm{i}}+3\hat{\mathrm{j}}$ and it produces an electric field at a point given by, $\overrightarrow{E}=2\hat{\mathrm{k}}$. It will produce magnetic field at that point equal to (all quantities are in SI units)

A long straight wire along the $z$-axis carries a current $I$ in the negative $z$-direction. The magnetic vector field $\overrightarrow{\mathit{B}}$ at a point having coordinates $(x, y)$ in the $z=0$ plane is 

A particle of mass $m$ and charge $q$ moves with a constant velocity $v$ along the positive $x$ -direction. It enters a region containing a uniform magnetic field $\mathit{B}$ directed along the negative $z$-direction, extending from $x=a$ to $x=b$. The minimum value of $v$ required, so that the particle can just enter the region $x>b$ is

${\mathrm{H}}^{+}, {\mathrm{He}}^{+}$ and ${\mathrm{O}}^{2+}$ all having the same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity. The masses of ${\mathrm{H}}^{+}, {\mathrm{He}}^{+}$ and ${\mathrm{O}}^{2+}$ are $1 \mathrm{amu}, 4 \mathrm{amu}$ and $16 \mathrm{amu}$ respectively. The

A beam of electrons moving with a momentum $\mathrm{p}$ enters a uniform magnetic field of flux density $\mathrm{B}$ perpendicular to its motion. Which of the following statement(s) is (are) true?

Two ions have equal masses but one is singly-ionised and other is triply-ionised. They are projected from the same place in a uniform magnetic field with the same velocity perpendicular to the field.

A charged particle goes undeflected in a region containing uniform electric and magnetic field. It is not possible at all ( $\nu$=velocity of particle, $E$=uniform electric field, $B$= uniform magnetic field)