1. | Repulsive force of \(10^{-4}~\text{N/m}\) |
2. | Attractive force of \(10^{-4}~\text{N/m}\) |
3. | Repulsive force of \(2 \pi \times 10^{-5}~\text{N/m}\) |
4. | Attractive force of \(2 \pi \times 10^{-5}~\text{N/m}\) |
1. | \(10^{-5} ~\text{N} \), attractive |
2. | \(10^{-5}~\text{N} \), repulsive |
3. | \(2 \times 10^{-5}~\text{N} \), attractive |
4. | \(2 \times 10^{-5} ~\text{N} \), repulsive |
1. | attract each other with a force per unit length of \(\frac{\mu_0 i^2}{2\pi d^2}\). |
2. | repel each other with a force per unit length of \(\frac{\mu_0 i^2}{2\pi d^2}\). |
3. | attract each other with a force per unit length of \(\frac{\mu_0 i^2}{2\pi d}\). |
4. | repel each other with a force per unit length of \(\frac{\mu_0 i^2}{2\pi d}\). |
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.
1. \(\mu_{0} i_{1} i_{2}\)
2. \(\dfrac{\mu_{0} i_{1} i_{2}}{\pi}\)
3. \(\dfrac{\mu_{0} i_{1} i_{2}}{2 \pi}\)
4. \(2 \mu_{0} i_{1} i_{2}\)
An arrangement of three parallel straight wires placed perpendicular to the plane of paper carrying the same current in the same direction is shown in the figure. The magnitude of force per unit length on the middle wire \(B\) is given by:
1. \(\dfrac{\mu_0i^2}{2\pi d}\)
2. \(\dfrac{2\mu_0i^2}{\pi d}\)
3. \(\dfrac{\sqrt{2}\mu_0i^2}{\pi d}\)
4. \(\dfrac{\mu_0i^2}{\sqrt{2}\pi d}\)
Three long, straight, and parallel wires carrying currents of \(30\) A, \(10\) A, and \(20\) A in \(P\), \(Q\), and \(R\), respectively, are arranged as shown in the figure. What is the force experienced by a \(10\) cm length of wire \(Q\)?
1. | \(1.4 \times 10^{-4}~\text{N}\) towards the right |
2. | \(1.4 \times 10^{-4}~\text{N}\) towards the left |
3. | \(2.6 \times 10^{-4}~\text{N}\) to the right |
4. | \(2.6 \times 10^{-4}~\text{N}\) to the left |