A , B and C are three parallel conductors of equal lengths carrying currents I, I and 2I respectively. Distance between A and B is ' x ' and that between B and C is also ' x '. F₁ is the force exerted by conductor B on A . F ₂ is the force exerted by conductor C on A . Current I in A and I in B are in same direction and current 2 I in C is in opposite direction. Then

Step-by-step solution

Current in A and B are in the same direction. Hence force F₁ exerted by B on A will be attractive (towards B). Current in A and C are in opposite directions. Hence force F ₂ , exerted by C on A will be repulsive (away from C ). Thus F₁ and F₂ are opposite in direction. aligned & F ₁= ₀ 2 I ₁ I ₂ x L = ₀ 2 I ^2 x L & F ₂= ₀ 2 2 I ^2 2 x L = ₀ 2 I ^2 x L aligned F ₁ and F ₂ have some magnitude. F ₁=- F ₂