Temperature Dependence of Semiconductor Resistance
The resistivity ρ of a semiconductor depends on its absolute temperature T as described by the equation ρ = ρ₀e^(E_g/(2k_BT)), where E_g is the band gap energy and k_B is the Boltzmann constant. If the temperature of the semiconductor is increased from T₁ to T₂ = 1.1T₁, which of the following represents the ratio of the new resistance to the original resistance? Assume the geometry of the semiconductor remains constant.
A
e^(-0.091E_g/(2k_BT₁))
B
e^(0.1E_g/(2k_BT₁))
C
1.1
D
0.91
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