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
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
Fill in the blank with the correct answer from the options given below
Updated On: Mar 28, 2025
- proportional to L but independent of \( I_1\times I_2\)
- proportional to \(I_1 × I_2\) but independent of length L
- proportional to \(I_1 × I_2 × L\)
- proportional to\( \frac{L}{ I_1 × I_2}\)
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The Correct Option is C
Solution and Explanation
The force (F) on a length (L) of one conductor due to the other is given by the formula:
F = (μ0 * I1 * I2 * L) / (2πd)
Where:
- μ0 is the permeability of free space
- I1 and I2 are the currents in the conductors
- L is the length of the conductor
- d is the distance between the conductors
From this formula, we can see that the force (F) is:
- Proportional to the product of the currents (I1 * I2).
- Proportional to the length (L) of the conductor.
- Inversely proportional to the distance (d) between the conductors.
Therefore, the force F is proportional to I1 * I2 * L.
The correct answer is:
Option 3: proportional to I1 × I2 × L
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