Find the electron and hole mobilities, and the resistivity of intrinsic silicon at 300K. Is intrinsic silicon a semiconductor

Resistivity = 231.481 K Ohm

Yes, Intrinsic Silicon is the semiconductor.

Explanation:

Solution:

At 300K:

Let suppose mobility of electron in intrinsic semiconductor =

Mobility of electron in intrinsic semiconductor is:

 = 1300 /volt.sec

Let suppose mobility of hole in intrinsic semiconductor =

= 500 /volt.sec

We know that, intrinsic silicon semiconductor has equal number of holes and electrons. So,

At 300 K

Intrinsic Carrier Concentration = 1.5 x / = C

And,

Conductivity of intrinsic Silicon is:

σ = C x ( + ) e

e = 1.6 x C

So, plugging in the values, we get:

σ = C x ( + ) e

σ = 1.5 x x (500 + 1300) x 1.6 x

σ = 4.32 x

So, now we can find the resistivity.

Resistivity = 1/σ

Resistivity = 1/ 4.32 x

Resistivity = 231.481 K Ohm

Yes, Intrinsic Silicon is the semiconductor.

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