Rankers Physics

Properties of Semiconductors: Practice Problem & Solution

The contribution in the total current flowing through a semiconductor due to electrons and holes are 3/4 and 1/4 respectively. If the drift velocity of electrons is 5/2 times that of holes at this temperature, then the ratio of concentration of electrons and holes is :
6 : 5
5 : 6
3 : 2
2 : 3

Solution Explained:

To solve this problem, we apply the core principles of Properties of Semiconductors. Understanding the underlying formula is key to arriving at the correct answer below:

Current i = neAv

\[ \frac{I_{1}}{I_{2}}= \frac{n_{1}}{n_{2}} * \frac{v_{d1}}{v_{d2}} \]

\[ \frac{3}{1}= \frac{n_{1}}{n_{2}} * \frac{5}{2} \]

\[ \frac{n_{1}}{n_{2}} = \frac{6}{5}  \]

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