A potential difference of $$2V$$ is applied between the opposite faces of a Ge crystal plate of area $$1$$ $$cm2$$ and thickness $$0.5$$ mm. If the concentration of electrons in Ge is $$2$$×$$1019/m3$$ and mobilities of electrons and holes are $$0.36$$ $$m2volt-secand$$ $$0.14$$ $$m2volt-$$$$sec$$,respectively, then the current flowing through the plate will be

Question

A potential difference of $$2V$$ is applied between the opposite faces of a Ge crystal plate of area $$1$$ $$cm2$$ and  thickness $$0.5$$ mm. If the concentration of electrons in Ge is $$2$$×$$1019/m3$$ and mobilities of electrons and holes are $$0.36$$ $$m2volt-secand$$ $$0.14$$ $$m2volt-$$$$sec$$,respectively, then the current flowing through the plate will be

Infinity Learn · Accepted Answer

σ$$=ne$$μ$$e+$$μh                                     ∵$$ne=nh=n=2$$×$$1019$$×$$1.6$$×$$10$$−$$190.36+0.14=1.6$$Ω−m−$$1R=$$ρ$$LA=L$$σ$$A=0.5$$×$$10$$−$$31.6$$×$$10$$−$$4=258$$Ω ∴$$i=VR=225/8=1625A=0.64A$$

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