Write the mathematical relation for the resistivity of a material in terms of relaxation time, number density and mass and charge of charge carriers in it. Explain, using this relation, why the resistivity of the metal increases and that of a semiconductors decreases with rise in temperature.
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Write a relation between current and drift velocity of electrons in a conductor. Use this relaxation to explain how the resistance of a conductor change with the rise in temperature.
If p is the resistivity of a material, and n is the number density of free electrons in it, the mean time between collisions between electrons in the material is given by: (m denotes the mass of an electron, and e denotes the charge on an electron)
Define relaxation time of the free electrons drifiting in a conductor. Establish a relation between drift. Velocity and time of relaxation. Use this relation to deduce the expression for the electrical resistivity of the material.
PRADEEP-CURRENT ELECTRICITY-Problems for Practice (B)
