Two circuits have coefficient of mutual induction of 0.09 henry. Average e.m.f. induced in the secondary by a change of current from 0 to 20 ampere in 0.006 second in the primary will be:
1. 120 V
2. 80 V
3. 200 V
4. 300 V

In the figure magnetic energy stored in the coil is:

Consider the situation shown in the figure. The wire AB is sliding on the fixed rails with a constant velocity. If the wire AB is replaced by semicircular wire, the magnitude of the induced current will:

A circular loop of radius R carrying current i lies in the x-y plane. If the centre of the loop coincides with the origin, then the total magnetic flux passing through the x-y plane will be:

A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region:

1. is zero
2. decreases as $\frac{1}{r}$
3. increases as r
4. decreases as $\frac{1}{r^2}$

Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be:

A conducting rod of length 2l is rotating with constant angular speed $\omega$ about its perpendicular bisector. A uniform magnetic field $\overrightarrow{B}$ exists parallel to the axis of rotation. The e.m.f. induced between the two ends of the rod is:

1. \(B\omega l^2\)
2. $\frac{1}{2}B\omega l^2$
3. $\frac{1}{8}B\omega l^2$
4. Zero

A conductor ABOCD moves along its bisector with a velocity of 1 m/s through a perpendicular magnetic field of \(1~\mathrm{wb/m^2}\), as shown in fig. If all the four sides are of 1 m length each, then the induced emf between points A and D is:
        
1. 0

2. 1.41 volt

3. 0.71 volt

4. None of the above

A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of:

A conducting rod AC of length 4l is rotated about point O in a uniform magnetic field $\overrightarrow{B}$ directed into the paper. If AO = l and OC = 3l, then:

1. $V_A-V_O=\frac{B\omega l^2}{2}$
2. $V_O-V_C=\frac{7}{2}B\omega l^2$
3. $V_A-V_C=4B\omega l^2$
4. $V_C-V_O=\frac{9}{2}B\omega l^2$