Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Moving Charges and Magnetism

Question:

Two infinitely long straight parallel conductors carrying currents $I_1$ and $I_2$ are held at a distance d apart in vacuum. The force F on a length L of one of the conductors due to the other is _________.

Fill in the blank with the correct answer from the options given below.

Options:

proportional to L but independent of $I_1 \times I_2$

proportional to $I_1 \times I_2$ but independent of length L

proportional to $I_1 \times I_2 \times L$

proportional to $\frac{L}{I_1 \times I_2}$

Correct Answer:

proportional to $I_1 \times I_2 \times L$

Explanation:

Force per unit length is $ \frac{F}{L} = \frac{\mu_0 I_1I_2}{4\pi d}$

$\Rightarrow F = \frac{\mu_0 I_1I_2 L}{4\pi d}$

The correct answer is Option (3) → proportional to $I_1 \times I_2 \times L$