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zhuklara [117]
4 years ago
10

A piece of Nichrome wire has a radius of 7.1 x 10-4 m. It is used in a laboratory to make a heater that dissipates 3.20×102 W of

power when connected to a voltage source of 110 V. Ignoring the effect of temperature on resistance, estimate the necessary length of wire.
Physics
1 answer:
bekas [8.4K]4 years ago
7 0

Answer:

the length of the Nichrome wire is <em>59.88 m</em>

<em></em>

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)

<em>L = 59.88 m</em>

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