Embibe Experts Solutions for Exercise 1: EXERCISE 6.1

Current in the long wire is increasing. Find direction of the induced emf in the loop.

A time varying magnetic flux passing through a coil is given by $\varphi =x{t}^2$, if at $t=3 s$, the emf induced is $9 V$, then the value of $x$ is

A square loop of wire, side length $10 \mathrm{cm}$ is placed at angle of $45°$ with a magnetic field that changes uniformly from $0.1 \mathrm{T}$ to zero in $0.7$ second. The induced current in the loop (its resistance is $1 \Omega$ ) is

If a coil of $40$ turns and area $4.0{ \mathrm{cm}}^2$ is suddenly removed from a magnetic field, it is observed that a charge of $2.0\times {10}^{-4}C$ flows into the coil. If the resistance of the coil in $80\Omega$, the magnetic flux density in $\frac{Wb}{{\mathrm{m}}^2}$ is

A uniform magnetic field exists along $x$-axis, find the flux through a square loop of side $a$ inclined at $60°$ to $(+x)$ axis as shown in figure.

An infinitely long wire carries current $i_0$ along $+z$ axis. Find flux through the right angled isosceles triangular region coplanar with the wire as shown in figure.