What is the resistance of the coil A at 600 kelvin if its resistance at 300 kelvin is 50 ohms? (Assume the temperature coefficient of resistance of the coil is .007/ degrees C)
C = K-273.2 = 600 - 273.2 = 326.8Deg.
C = 300 - 273.2 = 26.8Deg.
R = Ro + a*Ro(T-To).
R=50 + 0.007*50(326.8-26.8) = 155 Ohms
To determine the resistance of the coil A at 600 Kelvin, we can use the concept of temperature coefficient of resistance. The temperature coefficient of resistance represents how much the resistance of a material changes with respect to temperature.
Given:
Resistance of coil A at 300 Kelvin (R₁) = 50 ohms
Temperature coefficient of resistance (α) = 0.007 / degrees C
To find the resistance at 600 Kelvin, we can use the formula:
R₂ = R₁ * (1 + α * (T₂ - T₁))
Where:
R₂ = Resistance at the desired temperature (600 Kelvin)
T₂ = Desired temperature (600 Kelvin)
T₁ = Initial temperature (300 Kelvin)
Let's calculate the resistance at 600 Kelvin using this formula:
R₂ = 50 ohms * (1 + (0.007 / degrees C) * (600 K - 300 K))
First, we subtract the initial temperature from the desired temperature:
T₂ - T₁ = 600 K - 300 K = 300 K
Next, we multiply the temperature difference by the temperature coefficient of resistance:
0.007 / degrees C * 300 K = 0.007 * 300 / degrees C = 2.1 / degrees C
Finally, we can substitute these values into the formula:
R₂ = 50 ohms * (1 + 2.1 / degrees C)
R₂ = 50 ohms * (1 + 2.1) = 50 ohms * 3.1 = 155 ohms
Therefore, the resistance of coil A at 600 Kelvin would be approximately 155 ohms.