Resistance of a Circular resistor

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SUMMARY

The discussion focuses on calculating the resistance of a circular resistor made from doped silicon with a carrier concentration of 1.6x1025 m-3 and a sheet resistance of approximately 0.5 ohms/square. The resistor has a radius of 200 microns and a thickness of 5 microns. The user seeks a formula for calculating resistance in a circular configuration, contrasting it with the standard serpentine configuration formula. The key challenge is determining the points between which the resistance is measured in a non-rectangular shape.

PREREQUISITES
  • Understanding of electrical resistance and resistivity concepts
  • Familiarity with the properties of doped silicon
  • Knowledge of geometric shapes and their properties in electrical applications
  • Basic grasp of sheet resistance and its implications in circuit design
NEXT STEPS
  • Research the formula for calculating resistance in circular geometries
  • Explore the effects of carrier concentration on resistivity in semiconductor materials
  • Learn about the applications of sheet resistance in integrated circuit design
  • Investigate the differences between rectangular and non-rectangular resistor configurations
USEFUL FOR

Electrical engineers, semiconductor physicists, and students studying circuit design who are interested in understanding resistance calculations for non-standard resistor shapes.

jgrant333
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Hello all.

I'm trying to calculate the resistance of a circular resistor with the following specifications:

Doped Silicon with a carrier concentration of 1.6x1025 m-3 (sheet resistance ~ 0.5 ohms/square)

Radius = 200 microns
thickness = 5 microns.

I know the general formula for calculating resistance of a standard serpentine configuration:

Resistance = (resistivity/thickness) x Length/Width
= sheet resistance x (Length/Width)

However what is the formula for a circular resistor?
 
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It seems the point of this question, is to get you to think how would you calculate resistance of a shape that is not rectangular.
To make the calculation easier, they gave you a regular geometric shape.
Between what two points are you basing resistance of this shape?
 

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