Consider three long straight parallel wires as shown in figure. Find the force experienced by a 25 cm length of wire C.

  1. 0.5 × 10-4 N
  2. 1 × 10-4 N
  3. 2 × 10-4 N
  4. 3 × 10-4

Answer (Detailed Solution Below)

Option 4 : 3 × 10-4
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Detailed Solution

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Concept:

The magnetic field produced by a steady current flowing in a very long straight wire. The magnitude of the magnetic field is

  • Parallel wires carrying currents will exert forces on each other.
  • Each wire produces a magnetic field, which influences the other wire. 
  • When the currents in both wires flow in the same direction, then the force is attractive
  • When the currents flow in opposite directions, then the force is repulsive.

The force exerted on wires can be given by:

Calculation:

Repulsion by wire D,       

   [towards right]

= 5 × 10-4 N

Repulsion by wire G,

   [towards left]

= 2 × 10-4 N

∴ Fnet = F1 – F2

= 3 × 10-4 N  [towards right]

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