- #1
Gyroscope
Homework Statement
A disk with width b and radius a.
An element of resistance is:
dR=\rho \frac{2\pi r}{bdr}
How do I integrate this?
Thanks in advance.
Calculating Resistance of a Disk | Homework Problem Solution
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SUMMARY
The discussion focuses on calculating the resistance of a disk with width b and radius a, using the resistance element formula dR = ρ (2πr)/(b dr). Participants clarify the integration process needed to find total resistance, emphasizing the need to define the points between which resistance is measured. The solution involves summing the resistances of concentric rings within the disk to derive the total resistance.
PREREQUISITES- Understanding of electrical resistance and resistivity concepts
- Familiarity with calculus, specifically integration techniques
- Knowledge of geometric properties of disks and circular elements
- Basic principles of electrical circuits and components
- Study integration techniques for calculating total resistance in geometric shapes
- Explore the concept of resistivity and its applications in materials science
- Learn about the derivation of resistance formulas for different geometries
- Investigate practical applications of resistance calculations in electrical engineering
Students in physics or electrical engineering, educators teaching circuit theory, and anyone interested in the mathematical modeling of electrical resistance in materials.
A disk with width b and radius a.
An element of resistance is:
dR=\rho \frac{2\pi r}{bdr}
How do I integrate this?
Thanks in advance.
- #2
berkeman
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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.
for d), I am a bit confused. I have two trains of thoughts here
any thoughts on which answer is correct, and why the other one is incorrect? Both seem like valid solutions to me. Or is the question ambiguous?
thanks
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