Electromagnetic Induction

Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1}\gg\,R_{2}$, the mutual inductance $M$ between them will be directly proportional to:

In the above diagram, a strong bar magnet is moving towards solenoid-2 from solenoid-1. The direction of induced current in solenoid-1 and that in solenoid-2, respectively, are through the directions:

The variation of EMF with time for four types of generators are shown in the figures. Which amongst them can be called AC? (a) (b) (c) (d)

A uniform magnetic field is restricted within a region of radius,$r.$ The magnetic field changes with time at a rate,$\frac{d\vec{B}}{dt}$. Loop one of radius $R>r$ encloses the region, $r$ and loop two of radius, $R$…

A thin semicircular conducting ring $\left(PQR\right)$ of radius $r$is falling with its plane vertical in a horizontal magnetic field $B,$ as shown in figure. The potential difference developed across the ring when its…

A $800$ turn coil of the effective area $0.05m^{2}$ is kept perpendicular to the magnetic field $5\times\,10^{-5}T.$When the plane of the coil is rotated by $90^{o}$ around any of its coplanar axis in $0.1s,$ the emf…

A $10m$ long horizontal wire extends from North East to South West. It is falling with a speed of $5.0ms^{-1},$ at right angles to the horizontal component of the earth's magnetic field of…

A square shaped coil of area $70\mathrm{cm}^{2}$having $600$ turns rotates in a magnetic field of $0.4\mathrm{Wb}m^{-2}$, about an axis which is parallel to one of the side of the coil and perpendicular to the direction…

Magnetic flux (in weber) in a closed circuit of resistance $20\Omega\,$ varies with time $t\left(s\right)$ as $\varphi\,=8t^{2}-9t+5$. The magnitude of the induced current at $t=0.25s$ will be _____ $\mathrm{mA}$.

A conducting circular loop is placed in $X-Y$ plane in presence of magnetic field $\vec{B}=\left(3t^{3}\hat{j}+3t^{2}\hat{k}\right)$ in SI unit. If the radius of the loop is $1m$, the induced emf in the loop, at time,…

A coil of $200$turns and area $0.20m^{2}$is rotated at half a revolution per second and is placed in uniform magnetic field of $0.01T$ perpendicular to axis of rotation of the coil. The maximum voltage generated in the…

A circular coil of 1000 turns each with area $1m^{2}$ is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of $0.07T$. The maximum voltage generation…