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KCET2007PhysicsMagnetic Effects of Current

A and B are two infinitely long straight parallel conductors. C is another straight conductor of length 1 ~m kept parallel to A and B as shown in the figure. Then the force experienced by C is

Options

  1. Atowards A equal to 06 . 10⁻⁵ ~N
  2. Btowards B equal to 54 . 10⁻⁵ ~N
  3. Ctowards A equal to 54 . 10⁻⁵ ~N
  4. Dtowards B equal to 06 . 10⁻⁵ ~N

Correct answer

D. towards B equal to 06 . 10⁻⁵ ~N

Step-by-step solution

The force between the conductors is attractive if the currents in them are in the same direction and repulsive if the currents are in opposite direction Mutual force between conductors A and C aligned F₁ &= ₀ 2 I₁ I₂ l r &= ₀ 2 2 3 1 0.05 &=2.40 10⁻⁵ ~N (towards A ) aligned Mutual force between conductors B and C aligned &= ₀ 2 4 3 1 0.08 &=3 10⁻⁵ ~N (towards B ) aligned Hence, the resultant force experienced by C aligned &=(3-2.4) 10⁻⁵ ~N &=0.6 10⁻⁵ ~N ( towards B) aligned

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