Electromagnetic...

Electromagnetic induction is

A conducting rod of length l moves with velocity v in x-direction axis parallel to a long wire carrying a steady current I. The axis of the rod is maintained perpendicular to the wire with near end a distance r away as shown in the fig. Find the emf induced in the rod. 

A rectangular loop has a sliding connector PQ of length $$l$$ and resistance $$\mathrm{R}\Omega$$ and it is moving with a speed $$\mathrm{v}$$ as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents $$I_{1},\ I_{2}$$ and $$I$$ are 

In a uniform magnetic field of induction $$B$$, a wire in the form of semicircle of radius $$r$$ rotates about the diameter of the circle with angular velocity $$\omega$$. If the total resistance of the circuit is $$R$$, the mean power generated per period of rotation is :

A straight conducting rod of length $$30$$ cm and having a resistance of $$0.2$$ ohm is allowed to slide over two parallel thick metallic rails with uniform velocity of $$0.2$$ m/s as shown in the figure. The rails are situated in a horizontal plane. If the horizontal component of earth's magnetic field is $$0.3\times 10 ^{-4}$$T and a steady state current of $$3\mu A$$ is induced through the rod. The angle of dip will be :

The induced emf developed across the rod must be

What is lts teminal velocity?

A square metal wire loop of side 10 cm and of resistance 2 $$\Omega $$ moves with constant velocity in the presence of a uniform magnetic field of induction 4 T, perpendicular and into the plane of the loop. The loop is connected to a network of resistance as shown in the Figure. If the loop should have a steady current of 2 mA, the speed of the loop must be (in cm s$$^{-1}$$) :

A conductor rod AB moves parallel to X- axis in a uniform magnetic field, pointing in the positive Z-direction. The end A of the rod gets-

There is a uniform magnetic field B normal to the xy plane. A conductor ABC has length $$AB=l_{1}$$, parallel to the x-axis, the length $$BC=l_{2}$$, parallel to the y axis. ABC moves in the xy plane with velocity $$ v_{x} \hat {i} + v_{y} \hat{j} $$. The potential difference between A and C is proportional to :