A long wire \(A\) carries a current of \(10\) A. Another long wire \(B\), which is parallel to \(A\) and separated by \(0.1\) m from \(A\), carries a current of \(5\) A, in the opposite direction to that in \(A\). What is the magnitude and nature of the force experienced per unit length of \(B\)?
\(\left(\mu_0= 4\pi \times 10^{-7}~\text{weber/(amp-m)}\right)\)
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 \(2 \pi \times 10^{-5}~\text{N/m}\)
Subtopic:  Force between Current Carrying Wires |
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What will happen if two thin, long parallel wires separated by a distance \(d\) carry current \(i\) in the same direction?
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 \(\frac{\mu_0 i^2}{2\pi d}\).
Subtopic:  Force between Current Carrying Wires |
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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.
Subtopic:  Force between Current Carrying Wires |
 78%
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As indicated, a long, straight conductor \(XY\) carrying a current \(i_1\) is placed antiparallel to a conductor \(AB\) of length \(l\) carrying a current \(i_2\). How much of a force is acting on \(AB\)?

   
1. \(\mu_{0} i_{1} i_{2}\)
2. \(\frac{\mu_{0} i_{1} i_{2}}{\pi}\)
3. \(\frac{\mu_{0} i_{1} i_{2}}{2 \pi}\)
4. \(2 \mu_{0} i_{1} i_{2}\) 

Subtopic:  Force between Current Carrying Wires |
 74%
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