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Dependence of Resistance on Temperature

How is the dr...

Question

How is the drift velocity in a conductor affected with the rise in temperature?

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Solution

Drift velocity in a conductor is related as ${\to v}_{d} = ⎛ ⎝ \frac{e \to E}{m} ⎞ ⎠ τ$ , where $τ$ is relaxation time.

Due to rise in temperature, relaxation time decreases, hence drift velocity decreases.

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Q. Write a relation between current and drift velocity of electrons in a conductor.use this relation to explain how the resistance of a conductor changes with the rise in temperature?

HOW DOES THE DRIFT VELOCITY OF ELECTRONS IN A METELLIC CONDUCTOR VARY WITH THE INCREASE IN TEMPERATURE?

Q. (i) Derive an expression for drift velocity of free electrons.

(ii) How does the drift velocity of electrons in a metallic conductor vary with an increase in temperature ? Explain.

Q. (A) The drift velocity of electrons decreases with the increase in the temperature of conductor.

(B) The drift velocity is inversely proportional to the area of cross-section of given conductor.

(C) The drift velocity does not depend on the applied potential difference to the conductor.

(D) The drift velocity of electron is inversely
proportional to the length of the conductor.

(E) The drift velocity increases with the increase in the temperature of conductor.

Choose the correct answer from the options given below

Q. Find the relation between drift velocity and relaxation time of charge carriers in a conductor. A conductor of length

L

is connected to a d.c. The source of emf

^{'} E^{'}

. If the length of the conductor is tripled by stretching it, keeping

^{'} E^{'}

constant, explain how its drift velocity would be affected.

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