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Find the current produced at room temper...

Find the current produced at room temperature in a pure germanium plate of area `2 xx 10^(-4) m^(2)` and of thickness `1.2 xx 10^(-3) m` when a potential of `5 V` is applied across the faces. Concentration of carries in germanium at room temperature is `1.6 xx 10^(6)` per cubic metre. The mobilities of electrons and holes are `0.4 m^(2) V^(-1) s^(-1)` and `0.2 m^(2) V^(-1) s^(-1)` respectively. The heat energy generated in the plate in `100` second is.

A

`2.4xx10^(-11)J`

B

`3.4xx10^(-11)J`

C

`5.4xx10^(-11)J`

D

`6.4xx10^(-11)J`

Text Solution

Verified by Experts

The correct Answer is:
D
`n_(e)=n_(h)=n_(i)`
`:.sigma=n_(i)e(mu_(e)+mu_(h))=1.6xx1.6xx0.6xx10^(-13)`
Current produced in germainum plate.
`I=JA=sigmaE.A=sigma((V)/(d))A`
Heat generated in the plate, `H=VxxIxxt`
`=5xx1.28xx10^(-13)xx100=6.4xx10^(-11)` Joule
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