Electromagnetic...

Current in a coil of self-inductance $$2.0 H$$ is increasing as $$i=2\sin { { t }^{ 2 } }$$. The amount of energy spent during the period when the current changes from $$0$$ to $$2A$$ is:

A uniform rod of mass $$6M$$ and length $$6l$$ is bent to make an equilateral hexagon. Its mutual inductance about an axis passing through the centre of mass and perpendicular to the plane of hexagon is

The circular arc (in x-y plane) shown in figure rotates (about z-axis) with a constant angular velocity $$\omega $$. Time in a cycle for which there will be induced emf. in the loop is:

A coil and a magnet moves with their constant speeds $$5 \,{m}/{sec}$$ and $$3\, {m}/{sec}$$ respectively, towards each other, then induced emf in coil is $$16 mV$$. If both moves in the same direction, then induced emf in the coil:

A circular loop of radius $$2\ cm$$, is placed in a time varying magnetic field with rate of $$2T/sec$$. Then induced electric field in this loop will be:

The resistance that must be connected in series with inductance of 0.2 H in order thta the phase difference between current and e.m.f. may be $$45^0$$ when the frequency is 50 Hz is:-

the number of turn of the primary and secondary coil of the transformer is $$5$$ and $$10$$ respectively ad the mutual inductance is $$25 H.$$ if the number f turns of the primary and secondary is made $$10$$ and $$5$$, then the mutual inductance of the coils will be

The length of a solenoid is 0.3 m and the number of turns is 2000. the area of cross-section of the solenoid is $$1.2\times10^{-3} m^2$$. another coil of 300 turns is wrapped over the solenoid. a current of 2A is passed through the solenoid and its direction is changed in 0.25 sec. then the induced emf in coil :

A conducting rod of length $$l$$ is moving in a transverse magnetic field of strength $$B$$ with velocity $$v$$. The resistance of the rod is $$R$$. The current in the rod is 

A straight line conductor of length $$0.4\ m$$ is moved with a speed of $$7\ m/s$$ perpendicular to a magnetic filed of intensity $$0.9\, Wb/m^2$$. The induced e.m.f. across the conductor is