A typical sheet resistance of a base diffusion layer is 200 Ω/ square. (a) What should be the as

step 1 We can write the resistance for a cylinder is given by resistivity times length divided by area,

A typical sheet resistance of a base diffusion layer is 200...

A typical sheet resistance of a base diffusion layer is $200 \Omega /$ square. (a) What should be the aspect ratio of a $10-\mathrm{k} \Omega$ resistor, using this diffusion? (b) Draw a pattern for this resistor (see Fig. 9-12b) which uses little area for a width $w=5 \mu \mathrm{m}$.

A typical sheet resistance of a base diffusion layer is $200 \Omega /$ square.
(a) What should be the aspect ratio of a $10-\mathrm{k} \Omega$ resistor, using this diffusion?
(b) Draw a pattern for this resistor (see Fig. 9-12b) which uses little area for a width $w=5 \mu \mathrm{m}$.

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Key Concepts

Resistor Layout Design

Resistor layout design involves creating a geometric pattern that realizes the calculated aspect ratio while minimizing the area used on an integrated circuit. Techniques such as meandering or serpentine patterns allow a resistor to achieve a high effective length in a compact area, which is especially important in VLSI design where space is at a premium.

Sheet Resistance

Sheet resistance is a parameter used to describe the resistance of thin films of semiconductor material, measured in ohms per square. It is independent of the physical dimensions of the film and allows for the resistor’s value to be determined by the number of squares in its layout, making it a fundamental concept in integrated circuit design.

Aspect Ratio Calculation

The aspect ratio in the context of resistive structures refers to the ratio of the length to the width of the resistor. This ratio directly determines the number of squares in the resistor, and, when multiplied by the sheet resistance, yields the effective resistance. Understanding and calculating this ratio is crucial for designing resistors that meet a desired resistance value.

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