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Friday, 3 March 2017

Current Electricity - I


Electrical Conductivity:
It is the inverse of specific resistance for a conductor whereas the specific resistance is the resistance of unit cube of the material of the conductor.

Wheres  is the conductivity and s  is resistivity.

SI Unit of Conductivity:
The SI unit of conductivity is mhom-1

Current through a given area of a conductor:
It is the net charge passing per unit time through the area.

Current Density Vector:

Current Density:
Current density j gives the amount of charge flowing per second per unit area normal to the flow.

where n is the number density (number per unit volume) of charge carriers each of charge q and vd is the drift velocity of the charge carriers. For electrons q = – e. If j is normal to a cross – sectional area A and is constant over the area, the magnitude of the current I through the area is neVdA .

Mobility:
Mobility  is defined to be the magnitude of drift velocity per unit electric field
where q is the electric charge of the current carrier and mq is its mass.

Thus, mobility is a measure of response of a charge carrier to a given external electric field.

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