A semiconductor has an electron concentration of 0.45 x 1012 m-3and a ...
Given Information:
Electron concentration (ne) = 0.45 x 10^12 m^-3
Hole concentration (nh) = 5.0 x 10^20 m^3
Electron mobility (μe) = 0.135 m^2 V^-1 s^-1
Hole mobility (μh) = 0.048 m^2 V^-1 s^-1
Calculating Conductivity:
The conductivity (σ) of a semiconductor is given by the equation:
σ = q(μe ne + μh nh)
Where q is the elementary charge (1.6 x 10^-19 C).
Step 1: Calculate electron contribution to conductivity:
Electron contribution (σe) = qμe ne
Substituting the given values:
σe = (1.6 x 10^-19 C)(0.135 m^2 V^-1 s^-1)(0.45 x 10^12 m^-3)
σe ≈ 9.72 x 10^3 S m^-1
Step 2: Calculate hole contribution to conductivity:
Hole contribution (σh) = qμh nh
Substituting the given values:
σh = (1.6 x 10^-19 C)(0.048 m^2 V^-1 s^-1)(5.0 x 10^20 m^3)
σh ≈ 3.84 S m^-1
Step 3: Calculate total conductivity:
Total conductivity (σ) = σe + σh
Substituting the calculated values:
σ = 9.72 x 10^3 S m^-1 + 3.84 S m^-1
σ ≈ 13.56 x 10^3 S m^-1
Rounding to two significant figures:
σ ≈ 3.84 S m^-1
Conclusion:
The conductivity of the semiconductor is approximately 3.84 S m^-1.