- #1
Gyroscope
Homework Statement
A disk with width b and radius a.
An element of resistance is:
[tex]dR=\rho \frac{2\pi r}{bdr}[/tex]
How do I integrate this?
Thanks in advance.
Calculating Resistance of a Disk | Homework Problem Solution
- Thread starter Gyroscope
- Start date
-
- Tags
- Disk Resistance
In summary, calculating the resistance of a disk involves using the formula R = ρl/A, where R is the resistance, ρ is the resistivity of the material, l is the length of the disk, and A is the cross-sectional area of the disk. This formula can be applied to both uniformly and non-uniformly shaped disks, with the latter requiring integration to determine the resistance. Additionally, the resistance of a disk can be affected by the material used, the temperature, and the orientation of the disk. The solution to a homework problem involving calculating the resistance of a disk requires understanding and applying this formula, as well as any given parameters and conditions.
A disk with width b and radius a.
An element of resistance is:
[tex]dR=\rho \frac{2\pi r}{bdr}[/tex]
How do I integrate this?
Thanks in advance.
- #2
berkeman
Mentor
- 67,363
- 20,437
I don't understand your volume element. You are trying to get the total resistance between what two places? A point on one edge of the disk to a point on the other side, or from the center out to the perimiter, or what?
- #3
Gyroscope
It's the sum of the resistances of each ring of the disk.
Related to Calculating Resistance of a Disk | Homework Problem Solution
1. What is the formula for calculating resistance of a disk?
The formula for calculating resistance of a disk is R = ρL/A, where R is the resistance, ρ is the resistivity of the material, L is the length of the disk, and A is the cross-sectional area of the disk.
2. How do I determine the resistivity of a material?
The resistivity of a material can be found in a table of material properties or can be calculated using the formula ρ = RA/L, where ρ is the resistivity, R is the resistance, A is the cross-sectional area, and L is the length of the material.
3. Can the resistance of a disk be negative?
No, the resistance of a disk cannot be negative. Resistance is a measure of how difficult it is for electric current to flow through a material, and it can only have positive values.
4. What units are used for resistance?
The SI unit for resistance is ohms (Ω), named after the German physicist Georg Ohm. It can also be expressed in units of volts per ampere (V/A).
5. How can I use the calculated resistance of a disk in practical applications?
The calculated resistance of a disk can be used in various practical applications, such as designing electrical circuits, determining power dissipation, and selecting appropriate materials for different components. It is an important factor to consider in any system that involves the flow of electric current.
Similar threads
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help
-
Advanced Physics Homework Help