The magnetic flux linked with a coil varies with time as \(\phi = 2t^2-6t+5,\) where \(\phi \) is in Weber and \(t\) is in seconds. The induced current is zero at:
1. | \(t=0\) | 2. | \(t= 1.5~\text{s}\) |
3. | \(t=3~\text{s}\) | 4. | \(t=5~\text{s}\) |
A coil having number of turns \(N\) and cross-sectional area \(A\) is rotated in a uniform magnetic field \(B\) with an angular velocity \(\omega\). The maximum value of the emf induced in it is:
1. \(\frac{NBA}{\omega}\)
2. \(NBAω\)
3. \(\frac{NBA}{\omega^{2}}\)
4. \(NBAω^{2}\)
The current in a coil varies with time \(t\) as \(I= 3 t^{2} +2t\). If the inductance of coil be \(10\) mH, the value of induced emf at \(t=2~\text{s}\) will be:
1. \(0.14~\text{V}\)
2. \(0.12~\text{V}\)
3. \(0.11~\text{V}\)
4. \(0.13~\text{V}\)
A bar magnet is released along the vertical axis of the conducting coil. The acceleration of the bar magnet is:
1. | greater than \(g\). | 2. | less than \(g\). |
3. | equal to \(g\). | 4. | zero. |
A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is:
1. | Twice per revolution | 2. | Four times per revolution |
3. | Six times per revolution | 4. | Once per revolution |
An aluminium ring \(B\) faces an electromagnet \(A\). If the current \(I\) through \(A\) can be altered, then:
1. | whether \(I\) increases or decreases, \(B\) will not experience any force. |
2. | if \(I\) decreases, \(A\) will repel \(B\). |
3. | if \(I\) increases, \(A\) will attract \(B\). |
4. | if \(I\) increases, \(A\) will repel \(B\). |
1. | From \(a\) to \(b\) and from \(c\) to \(d\) |
2. | From \(a\) to \(b\) and from \(f\) to \(e\) |
3. | From \(b\) to \(a\) and from \(d\) to \(c\) |
4. | From \(b\) to \(a\) and from \(e\) to \(f\) |
Some magnetic flux is changed from a coil of resistance \(10~\Omega\). As a result, an induced current is developed in it, which varies with time as shown in the figure. The magnitude of change in flux through the coil in Wb is:
1. | \(2\) | 2. | \(4\) |
3. | \(6\) | 4. | None of these |
A metallic ring is attached to the wall of a room. When the north pole of a magnet is brought near to it, the induced current in the ring will be:
1. | first clockwise and then anticlockwise. |
2. | in the clockwise direction. |
3. | in the anticlockwise direction. |
4. | first anticlockwise and then clockwise. |