Q2 of 47 Page 1

How does the mobility of electrons in a conductor change, if the potential difference applied across the conductor is doubled, keeping the length and temperature of the conductor constant ?

If the drift velocity of the electrons is . Then, the mobility is



where is the electric field strength.


Also, if the electron density is , area of cross section is A, then



Also,



Combining all, we get



Now,



where is the length of conductor.


Thus,



Hence, mobility is independent of the voltage applied. Thus it remains same.


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