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Chapter 19: Problem 2566

The intrinsic semi-conductor has : (A) a finite resistance which does not change with temperature (B) infinite resistance which decreases with temperature (C) Finite resistance which decreases with temperature (D) Finite resistance which does not change with temperature

Short Answer

Expert verified
The correct answer is (C) Finite resistance which decreases with temperature, because the resistance of an intrinsic semiconductor depends on the number of charge carriers, which in turn depend on the temperature. As the temperature increases, the number of charge carriers increases, resulting in a decrease in resistance.

Step by step solution

01

Recall properties of intrinsic semiconductors

An intrinsic semiconductor is a pure semiconductor material that has no impurities or dopants. At low temperatures, its charge carriers (electrons and holes) are in limited supply, and as the temperature increases, the number of charge carriers also increases. Since the resistance of a semiconductor is inversely proportional to the number of charge carriers, an increase in charge carriers will result in a decrease in resistance.
02

Relate the resistance to temperature

As we have understood that the resistance of an intrinsic semiconductor depends on the number of charge carriers, which in turn depend on the temperature, we can conclude that the resistance of an intrinsic semiconductor will vary with temperature.
03

Identify the correct option

Given the above conclusions: (A) and (D) are incorrect because the resistance of an intrinsic semiconductor changes with temperature. (B) is incorrect because intrinsic semiconductors have finite resistance, not infinite resistance. The correct answer is: (C) Finite resistance which decreases with temperature.

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