Pure inductors each of inductance 3 H are connected as shown. The equivalent induction of
the circuit is :

The self inductance of a toroid is :

The flux linked with a coil at any instant ‘t’ is given by Φ = 10t² – 50t + 250. The induced emf at t = 3 s is :

In an AC generator, a coil with N turns, all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil is :

A wire forming one cycle of sine curve is moved in x-y plane with velocity

\[\overrightarrow{V}=V_{x}\hat{i}+V_{y}\hat{j}\] .
There exist a magnetic field \[\overrightarrow{B}=-B_{0}\hat{k}\] . Find
the motional emf develop across the ends PQ of wire :

A copper rod AB of length L, pivoted at one end A, rotates at constant angular velocity ω, at right angles to a uniform magnetic field of induction B. The e.m.f developed between the mid point C of the rod and end B is :

The magnetic field in a region is given by

\[\overrightarrow{B}=B_{0}\left( 1+\frac{x}{a} \right)\hat{k}\]
. A square loop of edge – length d is placed with its edge along x & y axis. The loop is moved with constant velocity \[\overrightarrow{V}=V_{0}\hat{i}\]. The emf induced in the loop is

A metal disc rotates freely, between the poles of a magnet in the direction indicated. Brushes P and Q make contact with the edge of the disc and the metal axle.What current, if any, flows through R?

A rectangular loop has a sliding connector PQ of length l and resistance RΩ and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents I1, I2 and I are

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A = 10 cm² and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is
\[\left( \mu=4\pi\times 10^{-7} T m A^{-1}\right)\] :