Silicon resistance change with temperature

In summary, the conversation involves a question about a rectangular block of metal with specific dimensions and mass. The density, total surface area, and surface area of a melted and cast cylinder are calculated, along with the percentage increase in surface area. The formula for density and surface area are used, as well as the volume of a cylinder and the formula for surface area of a cylinder.
  • #1
falcon555
12
0
Good day everyone
I'm doing a homework and stuck on the parts ii, iv and v.
In fact I don't know the formula to calculate them
Could someone help me to solve them, please

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  • #2
Here is the questionA rectangular block of metal measuring 18cm by 24cm by 28cm has a mass of 4.80kg. i) Calculate the density of the metal blockDensity = Mass/VolumeDensity = 4.80 kg / (18 cm x 24 cm x 28 cm)Density = 0.35 g/cm3ii) Calculate the total surface area of the metal blockSurface Area = 2(length x width + length x height + width x height)Surface Area = 2(18 cm x 24 cm + 18 cm x 28 cm + 24 cm x 28 cm)Surface Area = 4320 cm2iii) If the metal block is melted and cast into a cylinder of radius 7cm, calculate the height of the cylinderVolume of Cylinder = πr2h4320 cm3 = π x (7 cm)2 x hh = 4320 cm3 / (π x (7 cm)2)h = 58.5 cmiv) Calculate the surface area of the cylinderSurface Area of Cylinder = 2πrh + 2πr2Surface Area of Cylinder = 2π x 7 cm x 58.5 cm + 2π x (7 cm)2Surface Area of Cylinder = 907.1 cm2v) Calculate the percentage increase in surface areaPercentage Increase = (New Surface Area - Original Surface Area) / Original Surface Area x 100Percentage Increase = (907.1 cm2 - 4320 cm2) / 4320 cm2 x 100Percentage Increase = -79.0%
 

1. How does temperature affect the resistance of silicon?

The resistance of silicon increases as temperature increases. This is because the atoms in silicon vibrate more at higher temperatures, making it more difficult for electrons to flow through the material.

2. What is the resistance-temperature coefficient of silicon?

The resistance-temperature coefficient, also known as the alpha value, is a measure of how much the resistance of a material changes with temperature. For silicon, the alpha value is typically around -0.075%/°C, meaning that the resistance decreases by 0.075% for every degree Celsius increase in temperature.

3. Can silicon be used as a temperature sensor?

Yes, silicon can be used as a temperature sensor due to its predictable resistance-temperature relationship. By measuring the change in resistance, the temperature of the silicon can be determined using a simple equation.

4. How does doping affect the temperature dependence of silicon resistance?

Doping, or the intentional addition of impurities to silicon, can significantly alter its resistance-temperature relationship. This is because different dopants can change the number of free charge carriers in the material, thus affecting its conductivity and resistance at different temperatures.

5. What is the operating temperature range for silicon-based devices?

The operating temperature range for silicon-based devices varies depending on the specific application and device design. Generally, silicon can operate within a range of -40°C to 150°C, but specialized devices can operate at even higher or lower temperatures.

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