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

A toroid wound with $100 t\mathrm{urns}/\mathrm{m}$ of wire carries a current of $3\mathrm{A}$. The core of the toroid is made of iron having relative magnetic permeability ${\mu }_r=5000$. Under the given condition, the magnetic field inside the toroid is ______.(${\mathrm{\mu }}_0=4\times {10}^{-7}{\mathrm{kgms}}^{-2}{\mathrm{A}}^{-2}$)

Obtained the formula for Lorentz force on a moving electric charge in a uniform electric and magnetic field.

A rectangular coil of$120 \mathrm{turns}$ and an area of $10\times {10}^{-4}{\mathrm{m}}^2$ is suspended in a radial magnetic field of $45\times {19}^{-4 }\mathrm{T}$. If a current of $2 \mathrm{mA}$ through the coil gives it a deflection of $36°$. Find the effective torsion constant for the spring system holding the coil.

Two parallel long thin wires, each carrying current $I$ are kept at a separation $r$ from each other. Hence the magnitude of the force per unit length of one wire due to the other wire is ______.

Two concentric rings are kept in the same plane. The number of turns in both the rings is $20$. Their radii are $40 \mathrm{cm}$ and $80 \mathrm{cm}$ and they carry electric currents of $0.4 \mathrm{A}$ and $0.6 \mathrm{A}$ respectively, in mutually opposite directions. The magnitude of the magnetic field produced at their centre is ______ $\mathrm{T}$.

At a place, a uniform electric field and a uniform magnetic field are in the upward direction. There an electron moves in the downward direction. Hence, this electron _________.

When a charged particle moves in a uniform magnetic field its kinetic energy ______.

Two rings X and Y are placed in such a way that their axes are along the X and Y axis respectively and their centres are at the origin. Both the Rings X and Y have the same radii of $3.14 \mathrm{cm}$. If the current through X and Y rings are $0.3 \mathrm{A}$ and $0.4 \mathrm{A}$ respectively then find the value of the resultant magnetic field at the origin. ${\mu }_{\circ }=4\mathrm{\pi }\times {10}^{-7} \mathrm{SI}$