Embibe Experts Solutions for Chapter: Magnetic Effects of Current and Magnetism, Exercise 1: AP EAPCET 2018 (25-APR Shift-1)

A long thin hollow metallic cylinder of radius $R$ has a current $i$ ampere. The magnetic induction $B$ away from the axis at a distance $\text{'}r\text{'}$ from the axis varies as shown in

Torque required to hold a small circular coil of $10$ turns, $2\times {10}^{-4}{ \mathrm{m}}^2$ area and carrying $0.5 \mathrm{A}$ current is the middle of a long solenoid of ${10}^3$ turns per meter carrying $3 \mathrm{A}$ current, with its axis perpendicular to the axis of the solenoid is

In which of the following case no force exerted by a magnetic field on a charge?

The magnetic field, of a given length of wire for single turn coil, at its center is $\text{'}B\text{'}$. then its value for two turns coil for the same wire is

Two concentric coils each of radius equal to $4\pi \mathrm{cm}$ are placed at right angles to each other. If $10 \mathrm{A}$ and $24 \mathrm{A}$ are the currents flowing through the coils, respectively, the magnetic induction at the center of the coils will be

In a co-axial, straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero

The plane of a dip circle is set in the geographic meridian and the apparent dip is ${\delta }_1$. It is then set in a vertical plane perpendicular to the geographic meridian. The apparent dip angle is ${\delta }_2$. The declination $\theta$ at the place is

A paramagnetic sample showing a net magnetization of $0.8 \mathrm{A} {\mathrm{m}}^{-1}$, when placed in an external magnetic field of strength $0.8 \mathrm{T}$, at a temperature $5 \mathrm{K}$. If the temperature is raised to $20 \mathrm{K}$, then the magnetization becomes