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Determine the inductance per unit length for a loop created by connecting the ends of two infinitely long parallel wires, each with radius r, and separated by a distance d between their centers. Ignore the magnetic flux inside the wires and the effects at the ends.

1. μ₀ / (2π) * logₑ((d − r) / r)
2. μ₀ / (2π) * logₑ((d + r) / r)
3. μ₀ / π * logₑ((d − r) / r)
4. None of the above

Correct answer: μ₀ / π * logₑ((d − r) / r)

Solution

The inductance per unit length for the loop is derived by considering the magnetic flux outside the wires and the separation distance. The correct formula is μ₀ / π * logₑ((d − r) / r).

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