Question

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

Answer 1

Resistivity = 231.481 K Ohm

Yes, Intrinsic Silicon is the semiconductor.

Step-by-step explanation:

Solution:

At 300K:

Let suppose mobility of electron in intrinsic semiconductor =
`M_(e)`

Mobility of electron in intrinsic semiconductor is:

`M_(e)` = 1300
`cm^(2)`/volt.sec

Let suppose mobility of hole in intrinsic semiconductor =
`M_(h)`

`M_(h)` = 500
`cm^(2)`/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
`10^(10)`/
`cm^(3)` = C

And,

Conductivity of intrinsic Silicon is:

σ = C x (
`M_(h)` +
`M_(e)`) e

e = 1.6 x
`10^(-19)` C

So, plugging in the values, we get:

σ = C x (
`M_(h)` +
`M_(e)`) e

σ = 1.5 x
`10^(10)` x (500 + 1300) x 1.6 x
`10^(-19)`

σ = 4.32 x
`10^(-6)`

So, now we can find the resistivity.

Resistivity = 1/σ

Resistivity = 1/ 4.32 x
`10^(-6)`

Resistivity = 231.481 K Ohm

Yes, Intrinsic Silicon is the semiconductor.