Embibe Experts Solutions for Chapter: Magnetic Effects of Current and Magnetism, Exercise 1: Exercise 1

 The magnetic field at $P$ in the arrangement shown is

A charged particle of mass $m$ and charge $q$ with energy $E$ enters a uniform transverse magnetic field $B$ and describes a circular path. The magnitude of the angular momentum of the particle along the circular path is $L$. If the particle had energy $2E$, the angular momentum would have been-

A thin wire carrying current $i$ is bent to form a closed loop of one turn. The loop is placed in $y-z$ plane with centre at origin. If $R$ is the radius of the loop, then

Two proton beams are moving in parallel direction. Which of the following statements are correct (multiple options may be correct)

A current carrying wire of length $L$ is suspended horizontally by a spring of force constant $K$ as shown. The system is in equilibrium. A magnetic field $B$ is switched on into the plane of paper suddenly. Which of the following statements is correct?

A rectangular loop carrying current $i$ is shown in the diagram. If the magnetic field in the region is $2B_0\hat{i}+B_0\widehat{ j},$ then choose the correct statement(s).

The maximum current in a galvanometer can be $10 \mathrm{m}\mathrm{A}$. Its resistance is $10 \mathrm{\Omega }$. To convert it into an ammeter of $1 \mathrm{A}$, the resistance should be connected in parallel with galvanometer is $\frac{n}{99} \mathrm{\Omega }$. Write the value of $n$.

A galvanometer coil has a resistance $90\mathrm{\Omega }$ and full scale deflection current $10 \mathrm{mA}$. A $910\mathrm{\Omega }$  resistance is connected In series with the galvanometer to make a voltmeter. If the least count of the voltmeter is $0.1 \mathrm{V},$the number of divisions on its scale is