Embibe Experts Solutions for Exercise 3: Assignment

The magnitude of magnetic field induction at the centre $O$ in the figure shown is (Given: $R_1=10 \mathrm{cm}, R_2=20 \mathrm{cm}$ and $i=1 A)$

Two long wires one carrying current $1 A$ and other carrying $2 A$ in the same direction are placed parallel to each other produces a net magnetic field $B$ at the mid-point. What will be the field at midpoint when current $1 A$ is switched off ?

A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross-section. The ratio of the magnetic field at $\frac{a}{4}$ inside and $\frac{a}{4}$ outside from the surface of wire is

The magnitude of magnetic field required to accelerate protons (mass $=1.67\times {10}^{-27} \mathrm{kg})$ in a cyclotron that is operated at an oscillator frequency $10 \mathrm{MHz}$ is approximately

A large solenoid of windings of $400$ turns per meter carries a current $5 A.$ The magnetic field at the centre of the solenoid is about

What is the magnetic force per unit length experienced by wire $C$ as shown in figure? (Assume that all wires are parallel and infinitely long).

The full deflection current of moving coil Galvanometer is $1 \mathrm{mA}.$ If it is converted into an ammeter of $10 \mathrm{A}$ range then value of shunt is $\left[\mathrm{Resistance} \mathrm{of} \mathrm{Galvanometer}=1 \mathrm{K\Omega }\right]$

A hollow sphere of mass $m,$ radius $R$ is rotating about its diameter with angular velocity $\omega .$ If charge $Q$ is uniformly distributed over the surface, then magnetic moment of sphere is