A metallic resistor is connected across a battery. If the number of collisions of the free electrons with the lattice is somehow decreased in the resistor (for example, by cooling it), the current will ____________ .

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KollegeApply · Accepted Answer

increase If the number of collisions of the free electrons with the lattice is decreased, then the drift velocity of the electrons increases. Current i is directly proportional to the drift velocity 'Vd' and is given by the following relation: i = neAVd , where 'n' is the number density of electrons and 'A' is the area of the cross-section of the conductor. So, we can easily see that current increases with increase in drift velocity.

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