1. | \(N\) is small | 2. | \(B\) is small |
3. | \(A\) is small | 4. | \(C\) is small |
A rectangular loop carrying a current \(I_1\), is situated near a long straight wire carrying a steady current \(I_2\).
If the wire is parallel to one of the sides of the loop and is in the plane of the loop as shown in the figure, then the current loop will:
1. | move away from the wire. |
2. | move towards the wire. |
3. | remain stationary. |
4. | rotate about an axis parallel to the wire. |
A milliammeter of \(10\) mA has a coil resistance of \(1~\Omega\). To use it as an ammeter of range \(1\) A, the required shunt must have a resistance of:
1. \(\frac{1}{101}~\Omega \)
2. \(\frac{1}{100}~\Omega \)
3. \(\frac{1}{99}~\Omega \)
4. \(\frac{1}{9}~\Omega \)
Two toroids \(1\) and \(2\) have total no. of turns \(200\) and \(100\) respectively with average radii \(40~\text{cm}\) and \(20~\text{cm}\) respectively. If they carry the same current \(i\), what will be the ratio of the magnetic fields along the two loops?
1. \(1:1\)
2. \(4:1\)
3. \(2:1\)
4. \(1:2\)
If the value of integral \(\oint \vec {B} \cdot \vec {dl}\) for the loops \(C_1, C_2,~\text{and}~C_3\) \(2\mu_0, 4\mu_0~\text{and}~\mu_0\) in the units of N/A, respectively, then:
1. | \(I_1=3 A\) into the paper | 2. | \(I_2=3 A\) out of the paper |
3. | \(I_3=0\) | 4. | \(I_3=1 A\) out of the paper |
A ring of radius \(R\) carries a linear charge density \(\lambda\). It is rotating with angular speed \(\omega\) about an axis passing through the centre and perpendicular to the plane. What is the magnetic field at its centre?
1. | \(\dfrac{3 \mu_{0} \lambda \omega}{2}\) | 2. | \(\dfrac{\mu_{0} \lambda \omega}{2}\) |
3. | \(\dfrac{\mu_{0} \lambda \omega}{\pi}\) | 4. | \(\mu_{0} \lambda \omega\) |
1. | \(40~ \Omega\) | 2. | \(25~ \Omega\) |
3. | \(250~ \Omega\) | 4. | \(500~ \Omega\) |
Perpendicularly, an electron and a proton enter a magnetic field. Both have the same amount of kinetic energy. Which of the following statements is correct?
1. | Trajectory of electron is less curved |
2. | Trajectory of proton is less curved |
3. | Both trajectories are equally curved |
4. | Both move on a straight-line path |