Embibe Experts Solutions for Chapter: Magnetic Effect of Current, Exercise 4: Exercise-4

A current carrying wire is placed in the grooves of an insulating semi circular disc of radius $\text{'}R\text{'},$ as shown. The current enters at point $A$ and leaves from point $B.$ Determine the magnetic field at point $D$

A long, straight wire carries a current along the $Z$-axis. One can not find two points in the $X-Y$ plane Such that

A uniform magnetic field, $\overrightarrow{B}=\left(3\hat{\mathrm{i}}+4\hat{\mathrm{j}}+\hat{\mathrm{k}}\right) \mathrm{T}$  exists in region of space. A semicircular wire of radius $1 \mathrm{m}$ carrying current $1 \mathrm{A}$ having its centre at $(2, 2, 0)$ is placed in $x-y$ plane as shown in fig. The force on semicircular wire will be

An electron travelling with a speed $\mathrm{u}$ along the positive $\mathrm{x}$-axis enters into a region of magnetic field where $\mathrm{B}=-{\mathrm{B}}_0\widehat{\mathrm{k}}\left(\mathrm{x}>0\right)$. It comes out of the region with speed $\mathrm{v}$ then -

Which of the following statement is correct in the given figure.

A magnetic field $\overrightarrow{B}=B_0\hat{\mathrm{j}}$ exists in the region $\mathrm{a}<\mathrm{x}<2\mathrm{a}$ and $\overrightarrow{B}=-B_0\hat{\mathrm{j}},$ in the region $2a<x<3a,$ where $B_0$ is a positive constant. A positive point charge moving with a velocity $\overrightarrow{V}=v_0\hat{\mathrm{i}},$ where $v_0$ is a positive constant, enters the magnetic field at $x=a .$ The trajectory of the charge in this region can be like.

A particle of mass m and positive-charge $Q,$ moving with a constant velocity ${\overrightarrow{u}}_1=4\hat{\mathrm{i}} {\mathrm{ms}}^{-1},$ enters a region of uniform static magnetic field normal to the $x-y$ plane. The region of the magnetic field extends from $x=0$ to $x=L$ for all values of $y.$ After passing through this region, the particle emerges on the other side after $10$ milliseconds with a velocity ${\overrightarrow{u}}_2=\left(2\sqrt{3}\hat{\mathrm{i}}+\hat{\mathrm{j}}\right) {\mathrm{ms}}^{-1},$ The correct statements are

A conductor (shown in the figure) carrying contant current $\mathrm{I}$ is kept in the $x-y$ plane in a uniform magnetic field $\overrightarrow{B}.$ IF $F$ is the magnitude of the total magnetic force acting on the conductor, then the incorrect statement is: