Practicing Success
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. |
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 $\frac{L}{I_1 \times I_2}$ |
proportional to $I_1 \times I_2 \times L$ |
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 $I_1 \times I_2 \times L$ |