Electromagnetic...

A uniform magnetic field is restricted within a region of radius $$r$$. The magnetic field changes with time at a rate $$\dfrac{d\overrightarrow{B}}{dt}$$. Loop $$1$$ of radius $$R > r$$ enclose the region $$r$$ and loop $$2$$ of radius $$R$$ is outside the region of magnetic field as shown in the figure below. Then the $$e.m.f$$. generated is :

A magnet is made to oscillate with a particular frequency, passing through a coil as shown in figure. The time variation of the magnitude of emf generated across the coil during on cycle is

Two solenoids of equal number of turns having their length and the radii in the same ratio $$1 : 2$$. The ratio of their self-inductance will be

In a coil of self inductance of $$5$$ henry, the rate of change of current is $$2$$ ampere per second, the e.m.f. induced in the coil is

Two concentric coils each of radius equal to $$2\pi $$cm are placed at right angles to each other. $$3$$ ampere and $$4$$ ampere are the currents flowing in each coil respectively. The magnetic induction in $$weber/m^2$$ at the centre of the coils will be $$\left(\mu_0=4\pi\times 10^{-7}wb/ A.m\right)$$

Henry, the SI unit of inductance can be written as :

Assertion (A): Whenever the magnetic flux linked with a closed coil changes there will be an induced emf as well as an induced current.
Reason (R): According to Faraday, the induced emf is inversely proportional to the rate of change of magnetic flux linked with a coil.

The coefficient of self inductance and the coefficient of mutual inductance have 

A varying current in a coil change from $$10A$$ to $$0$$ in $$0.5$$sec. If the average emf induced in the coil is $$220V$$, the self inductance of the coil is :

Two conducting circular loops F and G are kept in a plane on either side of a straight current-carrying wire as shown in the figure below.
If the current in the wire decreases in magnitude, the induced current in the loops will be