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.

Explanation

`sigma=n_(i)e(mu_(e)+mu_(h))`
`=1.6xx10^(6)xx1.6xx10^(-19)(0.4+0.2)`
`=1.53xx10^(-13)`
Xcurrent produced in germanium plate
`I=JA=sigmaEA=sigma(V/d)A`
`=1.53xx10^(-13)xx(5)/((1.2xx10^(-3)))xx2xx10^(-4)`
`=1.28xx10^(-13)A`
Heat generated in plate, `H=VIt`
`=5xx1.28xx10^(-13)xx100`
`6.4xx10^(-11)J`