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Consider three identical infinite straight wires A, B and C arranged in parallel on a plane as shown in the figure. The wires carry currents as shown in figure and have mass per unit length m. If the wires Aand C are held fixed and the wire B is displaced by a small distance x from its position, then it (B) will execute simple harmonic motion with a time period -
  • a)
  • b)
  • c)
  • d)
    None
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider three identical infinite straight wires A, B and C arranged i...
Let us first calculate the force on wire B due to wire A magnetic field at the position of wire B

force per unit length on wire B due to wire A
  towards right
Similarly force per unit length on wire B due to magnetic field produced by wire C

If wire B is displaced towards right, then net restoring force will be equal to



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Consider three identical infinite straight wires A, B and C arranged in parallel on a plane as shown in the figure. The wires carry currents as shown in figure and have mass per unit length m. If the wires Aand C are held fixed and the wire B is displaced by a small distance x from its position, then it (B) will execute simple harmonic motion with a time period -a)b)c)d)NoneCorrect answer is option 'C'. Can you explain this answer?
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