Question

The electron concentration \( n_e \) and hole concentration \( n_h \) in semiconductor are related to the number of intrinsic charge concentration \( n_i \) as

• A. \( n_e n_h = n_i^2 \)
• B. \( n_e + n_h = n_i^2 \)
• C. \( n_e + n_h = 2n_i^2 \)
• D. \( n_e n_h = 2n_i \)
• E. \( n_e n_h^2 = n_i \)

Hint:

In intrinsic semiconductors, the product of electron and hole concentrations is always equal to the square of the intrinsic charge concentration.

Answer 1

The Correct Option is A

In intrinsic semiconductors, the product of the electron concentration \( n_e \) and hole concentration \( n_h \) is equal to the square of the intrinsic carrier concentration \( n_i \): \[ n_e n_h = n_i^2 \] This relation holds because in an intrinsic semiconductor, the number of electrons is equal to the number of holes. 
Thus, the correct answer is (A).