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A heater is being designed that uses a coil of 14-gauge nichrome wire to generate 300 W using a voltage of V = 110 V . How long should the e
Question
A heater is being designed that uses a coil of 14-gauge nichrome wire to generate 300 W using a voltage of V = 110 V . How long should the engineer make the wire?(Note 14-guage wire has a diameter of 1.63 mm.)
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Physics
3 years
2021-08-22T17:39:04+00:00
2021-08-22T17:39:04+00:00 1 Answers
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Answers ( )
Answer:
The length of the wire is 83.2 m.
Explanation:
Given that,
Power of heater, P = 300 W
Voltage, V = 110 V
The resistivity of nichrome wire is,![Rendered by QuickLaTeX.com \rho=100\times 10^{-8}\ \Omega-m](https://documen.tv/wp-content/ql-cache/quicklatex.com-bd0add8a66fe725407fb4f71100ca832_l3.png)
The electric power of a wire is given by :
Area of cross section of the wire is :
Resistance of a material is given by :
So, the length of the wire is 83.2 m. Hence, this is the required solution.