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A coil of copper wire has resistance of 10 ohms at 20⁰c. If the temperature co efficient of resistance of copper at 20⁰c is0.004/⁰c.Determine the resistance of the coil when thetemperature rises100⁰c?
Joy Nalube
Mar 24
A coil of copper wire has resistance of 10 ohms at 20⁰c. If the temperature co efficient of resistance of copper at 20⁰c is0.004/⁰c.Determine the resistance of the coil when thetemperature rises100⁰c?
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ChatGPT
Mar 24
To determine the resistance of the coil when the temperature rises by 100⁰C, we can use the formula:
Rt = R0 * (1 + α * ΔT)
Where:
Rt = resistance at temperature t
R0 = resistance at reference temperature (20⁰C)
α = temperature coefficient of resistance (0.004/⁰C)
ΔT = change in temperature (100⁰C)
Plugging in the values:
Rt = 10 * (1 + 0.004 * 100)
Rt = 10 * (1 + 0.4)
Rt = 10 * 1.4
Rt = 14 ohms
Therefore, the resistance of the coil when the temperature rises by 100⁰C is 14 ohms.
Rt = R0 * (1 + α * ΔT)
Where:
Rt = resistance at temperature t
R0 = resistance at reference temperature (20⁰C)
α = temperature coefficient of resistance (0.004/⁰C)
ΔT = change in temperature (100⁰C)
Plugging in the values:
Rt = 10 * (1 + 0.004 * 100)
Rt = 10 * (1 + 0.4)
Rt = 10 * 1.4
Rt = 14 ohms
Therefore, the resistance of the coil when the temperature rises by 100⁰C is 14 ohms.
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