Embibe Experts Solutions for Chapter: Moving Charges and Magnetism, Exercise 1: Uttar Pradesh Board-2018

State Biot-Savart's law. A current of $5$ ampere is flowing through a circular loop of radius $10 \mathrm{cm}$. Calculate the magnetic field at the centre of the loop.

Obtain the formula of coefficient of self-induction of a current carrying solenoid.

What is Ampere's circuit law? Derive the formula of magnetic field inside a current carrying solenoid with its help.

The resistance of the required shunt in order to pass $10\%$ of the main current in a galvanometer of $99\mathrm{\Omega }$ resistance should be

Write down the vector form of Lorentz force acting on a moving charge in a uniform magnetic field. Two particles $\mathrm{A}$and $\mathrm{B}$having same charge after being accelerated by the same accelerating potential, enter perpendicular in a uniform magnetic field, so that they ${\mathrm{R}}_1$ and ${\mathrm{R}}_2$ respectively. Find out the ratio of the masses of $\mathrm{A}$and $\mathrm{B}$in terms of ${\mathrm{R}}_1$ and ${\mathrm{R}}_2$.

A flat circular coil of radius $3.0 \mathrm{cm}$ has $100$ turns. A current of $2.0 \mathrm{amp}$ is passed through it. Calculate the magnetic field at a point on the axis of the coil of a distance of $4.0 \mathrm{cm}$ from its centre.

A Galvanometer is of $50 \mathrm{\Omega }$ resistance and current for full scale deflection is $0.05 \mathrm{A}$. What length of the shunt will be required so as to convert the galvanometer into an ammeter of $5 \mathrm{A}$ range?

Area of cross-section of wire $=2.97\times {10}^{-2} {\mathrm{cm}}^2$. Specific resistivity of the wire material$=5\times {10}^{-7} \mathrm{\Omega m}$.

A wire of length $\mathrm{L}$ is turned in the form of a circular coil of $\mathrm{N}$ turns and then suspended in a magnetic field $\mathrm{B}$. If $\mathrm{i}$ current is passed in the coil, then obtain the formula for the maximum torque acting on the coil.