A n -type semi-conductor has impurity level 20 meV below the conduction band. In a thermal colli

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A n -type semi-conductor has impurity level 20 meV below the...

A $n$ -type semi-conductor has impurity level $20 \mathrm{meV}$ below the conduction band. In a thermal collision, transferrable energy is $k T$. The value of $T$ for which electrons start to jump in conduction band is : (a) $232 \mathrm{~K}$ (b) $348 \mathrm{~K}$ (c) $400 \mathrm{~K}$ (d) none of these

A $n$ -type semi-conductor has impurity level $20 \mathrm{meV}$ below the conduction band. In a thermal collision, transferrable energy is $k T$. The value of $T$ for which electrons start to jump in conduction band is :
(a) $232 \mathrm{~K}$
(b) $348 \mathrm{~K}$
(c) $400 \mathrm{~K}$
(d) none of these

Key Concepts

Boltzmann Constant and Thermal Energy

The Boltzmann constant (k) is a fundamental parameter that relates temperature to energy in physical systems. The thermal energy available at a given temperature is expressed as kT. In semiconductor physics, equating kT to the energy difference between impurity levels and the conduction band provides a means to estimate the temperature at which electrons begin to contribute significantly to conduction.

Thermal Excitation

Thermal excitation is the process by which electrons acquire enough energy from thermal collisions (quantified as kT, where k is the Boltzmann constant and T is temperature) to move from a lower energy state, such as an impurity level, to a higher energy state, such as the conduction band. The temperature at which this activation occurs is critical for determining the conduction properties of the semiconductor.

n-type Semiconductor

An n-type semiconductor is a material that has been doped with donor impurities to increase the number of free electrons available for conduction. This process shifts the balance of charge carriers, making electrons the majority carriers, which enhances the material's electrical conductivity.

Impurity Levels in Semiconductors

Impurity levels refer to the energy states introduced within the band gap by dopants. In an n-type semiconductor, donor impurities create energy levels that are close to the conduction band. Electrons can be easily excited from these impurity levels to the conduction band, contributing to electrical conduction.

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