COMEDK · Physics · 21. Magnetic Effects of Current
Two long parallel conductors X and Y are placed vertically at a distance d apart. Conductor X carries a current I upwards and conductor Y carries a current 2I downwards. A third long conductor Z is placed parallel to both X and Y and between X and Y. If Z carries a current I upwards and is at a distance \(x\) from conductor X, then:
- A All the conductors are in equilibrium and the net force on Z is zero
- B The net force on Z is \(\dfrac{\mu_0 I^2}{2x\pi}\left[\dfrac{d+x}{d-x}\right]\) towards X
- C The net force on Z is \(\dfrac{\mu_0 I^2}{2x\pi}\left[\dfrac{d+x}{d-x}\right]\) towards Y
- D The net force on Z is \(\dfrac{\mu_0 I^2}{2x\pi}\left[\dfrac{d-x}{d+x}\right]\) towards Y
Answer & Solution
Correct Answer
(B) The net force on Z is \(\dfrac{\mu_0 I^2}{2x\pi}\left[\dfrac{d+x}{d-x}\right]\) towards X
Step-by-step Solution
Detailed explanation
The force per unit length between two parallel current-carrying wires is given by \(F = \dfrac{\mu_0 I_1 I_2}{2\pi r}\). Wires carrying current in the same direction attract each other, while wires carrying current in opposite directions repel each other. The force per unit…
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