Answer :
Final answer:
The inductance of one conductor in the unstretched cord can be determined using the formula L = (μ₀ × N² × A) / l, where μ₀ is the permeability of free space, N is the number of turns, A is the cross-sectional area, and l is the length of the cord. The radius can be calculated from the given diameter, and then the values can be substituted into the formula to find the inductance per unit length.
Explanation:
The question is asking for the inductance of one conductor in an unstretched coiled telephone cord. To determine the inductance, we need to use the formula:
L = (μ₀ × N² × A) / l
Where:
- L is the inductance
- μ₀ is the permeability of free space (4π × 10^-7 T·m/A)
- N is the number of turns in the coil (71 turns)
- A is the cross-sectional area of the coil (πr²)
- l is the length of the coil (46.5 cm)
Given that the diameter of the coil is 1.30 cm, the radius (r) can be calculated as half the diameter. Substitute the values into the formula to find the inductance per unit length of the cord.
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