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How pinched resistor can give resistance in order of mega-ohm in a reasonably small area?

(a) By increasing fabrication steps

(b) By offering bulk resistance in n-region

(c) By reducing conduction path

(d) By limiting the thickness of are

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Enquiry is from Active and Passive Components of IC topic in section IC Fabrication of Linear Integrated Circuits

1 Answer

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Pinched Resistor in IC Fabrication

Correct Answer: (c) By reducing conduction path

Explanation:

A pinched resistor is a thin-film or diffused resistor that achieves very high resistance values in a small area by utilizing the principle of reducing the conduction path (cross-sectional area) and increasing the length of the resistive material.

Pinched Resistor Principle:

Resistance Formula: R = rho * L / A

Where:

- R = resistance

- rho = resistivity of material

- L = length of conductor

- A = cross-sectional area

To get megaohm resistance in a small area, we need to:

1. Reduce A (cross-sectional area) significantly

2. Increase L (length) within the small area (using serpentine or spiral layout)

3. Use high-resistivity material (n-type diffused region)

How It Works:

A pinched resistor uses a narrow strip of high-resistivity semiconductor material (typically diffused n-type or p-type silicon region). By making the width very narrow and the length very long in a folded/serpentine pattern, we can achieve:

- Very high resistance values (megaohms)

- In very small physical chip area

- Using standard IC fabrication processes

Structure:

Length: Folded or serpentine to maximize L in small area

Width: Very narrow (typically 1-10 micrometers)

Thickness: Determined by diffusion depth

Material: Diffused semiconductor (high resistivity n or p region)

Why Each Option:

(a) By increasing fabrication steps: Incorrect - Extra steps don't directly create higher resistance

(b) By offering bulk resistance in n-region: Partially correct but not the primary method

(c) By reducing conduction path: Correct! Narrow width = small cross-sectional area = high resistance

(d) By limiting thickness of area: Incorrect - Thickness is already limited by diffusion process

Advantages:

1. Achieves megaohm resistance in micrometer-scale area

2. Fabricated using standard diffusion and masking processes

3. Better integration with other IC components

4. More area-efficient than conventional resistors

5. Suitable for high-value resistor applications

Applications:

- Biasing resistors in op-amps and comparators

- Load resistors in analog circuits

- Feedback resistors where high resistance needed

- Active filters and precision circuits

- Sensor signal conditioning

Disadvantages:

- High temperature coefficient

- Lower precision compared to thin-film resistors

- Noise characteristics not ideal for some applications

- Parasitic effects due to narrow geometry

Conclusion:

A pinched resistor achieves megaohm resistance in a small area primarily by reducing the conduction path (cross-sectional area) to very narrow dimensions and utilizing a high-resistivity material. This clever layout technique is fundamental to modern IC design where space is critical.

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