Find the resisitance of the winding at 20/60C

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In summary, the resistance of the winding at 20C is 0.0021 ohms and the resistance at 60C is 0.0032 ohms.
  • #1
BloodPhoenix
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Find the resisitance of the winding at 20 and 60 degrees.

Information given:

mass: 33.212kg
Dimensons are: L=551.9291667mm
W=48mm
h=144mm
Volume: 3814934.4mm3
Number of turns in the winding: 675 diameter of wire = 2.00mm

The turns can be assumed to be uniformly layered and evenly distributed across the section of the coil. All inter=conducter space is occupied by the insulation and the completed winding can be assumed to fill the winding space.

The winding material has the following parameters at 20C
Density: 8740kg/m3
Resistivity: 1.870E-08ohmM


If anyone can point me in the direction of the equation(s) i would need to use or just show how u got to the answer i would greatly appreciated :D everyone in the module has been totally stumped on this question so please make me be the first with the correct answer :D

Ty all!
Andrew
 
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  • #2
Answer:The resistance of the winding at 20C is calculated using the resistivity of the winding material and the length of the winding.R = (resistivity) x (length / cross-sectional area)For 20C, the length of the winding is 551.9291667 mm and the cross-sectional area is 48mm x 144mm = 6912mm2. Thus, the resistance of the winding at 20C is: R = (1.870E-08 ohmM) x (551.9291667mm / 6912mm2) = 0.0021 ohms. At 60C, the resistance of the winding is calculated using the temperature coefficient of resistance for the winding material. The temperature coefficient of resistance for the winding material is typically 0.004/C. Thus, the resistance of the winding at 60C is: R = 0.0021 ohms x (1 + (0.004/C) x (60C - 20C)) = 0.0032 ohms.
 
  • #3


To find the resistance of the winding at 20/60C, we will need to use the formula for electrical resistance, which is R = ρ * L/A, where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.

First, we need to calculate the length of the wire in the winding. We can do this by multiplying the number of turns (675) by the length of each turn, which is equal to the circumference of the wire. The formula for circumference is C = π * d, where C is circumference, π is 3.14159, and d is diameter. Substituting in the given diameter of 2.00mm, we get C = 3.14159 * 2.00mm = 6.28318mm.

Now, we can calculate the length of the wire in the winding by multiplying the circumference by the number of turns: 6.28318mm * 675 = 4236.7425mm. This is the length of the wire at 20 and 60 degrees.

Next, we need to calculate the cross-sectional area of the wire. The formula for cross-sectional area is A = π * r^2, where A is cross-sectional area, π is 3.14159, and r is radius. Since we are given the diameter of 2.00mm, the radius is half of that, or 1.00mm. Substituting into the formula, we get A = 3.14159 * (1.00mm)^2 = 3.14159mm^2.

Now, we can plug these values into the formula for resistance. At 20 degrees, the resistance is R = (1.870E-08ohmM) * (4236.7425mm / 3.8149344mm^3) = 2.067E-05 ohms. At 60 degrees, the resistance is R = (1.870E-08ohmM) * (4236.7425mm / 3.8149344mm^3) = 2.067E-05 ohms.

Therefore, the resistance of the winding at 20/60C is 2.067E-05 ohms.
 

What is the significance of finding the resistance of the winding at 20/60C?

The resistance of the winding at 20/60C is an important measurement in determining the performance and efficiency of a device or system that uses electrical energy. It helps to understand how the winding behaves under different operating temperatures and can aid in troubleshooting and optimizing the system.

How is the resistance of the winding at 20/60C measured?

The resistance of the winding is typically measured using a multimeter or other specialized equipment. The winding is exposed to a known voltage and the resulting current is measured, allowing for the calculation of resistance using Ohm's Law (R=V/I).

Why is 20/60C the specified temperature range for measuring the resistance of the winding?

The temperature range of 20/60C is commonly used because it represents a typical operating temperature range for many electrical devices. It is also the standard temperature range for industrial and commercial applications. This allows for more accurate comparisons and assessments of different systems.

What factors can affect the resistance of the winding at 20/60C?

The resistance of the winding can be influenced by several factors including the material and size of the winding, the type of insulation used, and the temperature of the surrounding environment. Changes in any of these factors can cause variations in the resistance measurement.

How can the resistance of the winding at 20/60C be used in practical applications?

The resistance of the winding at 20/60C can be used in various practical applications such as designing and optimizing electrical circuits, estimating power consumption and efficiency, and identifying potential issues or failures in a system. It can also be used to ensure that the winding is within safe operating limits and to determine the appropriate wire gauge for a specific application.

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