Electromagnetic...

A straight line conductor of length $$0.4\ m$$ is moved with a speed of $$ 7 ms^{-1} $$ perpendicular to magnetic field of intensity of $$0.9\  Wbm^{-2} . $$ The induced emf across the conductor is :

Find the inductance L of a solenoid of length l whose windings are made of material of density D and resistivity $$ \rho . $$ The winding resistance is R :

When the self-inductance of the primary and secondary coil is doubled, then the mutual inductance of the two coils is :

Two coils $$A$$ and $$B$$ have mutual inductance $$2 \times {10}^{-2}$$ henry. If the current in the primary is $$i = 5 \sin{\left(10 \pi t\right)}$$ then the maximum value of e.m.f. induced in coil $$B$$ is

Alternating current of peak value $$\left( \dfrac{2}{\pi} \right )$$ ampere flows through the primary coil of the transformer. The coefficient of mutual inductance between primary and secondary coil is 1 henry. The peak e.m.f. induced in secondary coil is
(Frequency of a.c. = 50 Hz)

If '$$N$$' is the number of turns in a circular coil then the value of self inductance varies as.

A conducting rod of mass $$m$$ and length $$l$$ is free to move without friction on two parallel long conducting rails, as shown below. There is a resistance $$R$$ across the rails. In the entire space around, there is a uniform magnetic field $$B$$ normal to the plane of the rod and rails. The rod is given an impulsive velocity $${ v }_{ 0 }$$. Finally, the initial energy $$\dfrac { 1 }{ 2 } m{ v }_{ 0 }^{ 2 }$$

The figure shows a bar magnet coil. Consider four situations.
(I) Moving the magnet away from the coil.
(II) Moving the coil towards the magnet.
(III) Rotating the coil about the vertical diameter.
(IV) Rotating the coil about its axis.
An emf in the coil will be generated for the following situations.

EMF developed by generator depends upon :

A wire of length $${l}$$ is moved with a constant velocity $$\vec{v}$$ in a magnetic field. A potential difference appears across the two ends.