Answer:
the length of the Nichrome wire is 59.88 m
Explanation:
The resistance of a wire is determined by:
P = V² / R or R = V² / P
where
- V is the voltage
- R is the resistance
- P is the power
We also know that
R = PL / A
where
- A is the area and it is equal to πr²
- P = 3.20 × 10² W
Therefore, the length of the Nichrome wire is
L = RA / ρ
L = (V²/P)(πr²) / ρ
L = V²πr² / ρ P
L = (110 V)²(π)(7.1 × 10⁻⁴ m)² / (3.2 × 10² W)(100 × 10⁻⁸ Ω·m)
L = 59.88 m
