Calculate Area of Long Conducting Cylinder

In summary, the area of a long conducting cylinder can be calculated using the formula 2πrh, where r is the radius and h is the height of the cylinder. A conducting cylinder is a cylindrical object made of a material that allows electricity to flow through it. The area cannot be negative and is important to calculate for various applications in science and engineering. The units for the area are usually in square meters or square centimeters, depending on the unit used for the radius and height measurements. Consistent units should be used for accurate results.
  • #1
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Homework Statement



a long conducting cylinder with inner radius a and outer radius b carries a current along its central axis. blah blah blah, i found the current density.

now how do i calculate the area of the cylinder with a hole in it?

is it A = pi (b-a)^2 OR is it A = pi ( (a+b)/2)^2
 
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  • #2
Neither one! The area of the base is the area of the larger circle, [itex]\pi b^2[/itex], minus the area of the inner circle, [itex]\pi a^2[/itex], or [itex]\pi (b^2- a^2)[/itex].
 
  • #3
thank you kind sir
 

Related to Calculate Area of Long Conducting Cylinder

1. How do you calculate the area of a long conducting cylinder?

The formula for calculating the area of a long conducting cylinder is 2πrh, where r is the radius of the cylinder and h is the height or length of the cylinder.

2. What is a conducting cylinder?

A conducting cylinder is a cylindrical object made of a material that allows electricity to flow through it. This can include metals such as copper, aluminum, or steel.

3. Can the area of a long conducting cylinder be negative?

No, the area of a cylinder cannot be negative as it is a measure of the total surface area of the object and cannot have a negative value.

4. Why is it important to calculate the area of a long conducting cylinder?

Calculating the area of a long conducting cylinder is important in various fields of science and engineering. It helps in determining the amount of material needed for construction, calculating the resistance and current flow in electrical systems, and understanding the behavior of heat transfer in thermal systems.

5. What are the units for the area of a long conducting cylinder?

The units for the area of a long conducting cylinder are usually in square meters (m²) or square centimeters (cm²), depending on the unit used for the radius and height measurements. It is important to use consistent units when calculating the area to get an accurate result.

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