Resistance is defined as the property of a substance due to which it opposes the flow of Electricity i.e electrons through it. Metals, acids and salts are the good conductors of electricity. These free or loosely attached electrons (vagrant) while flowing pass through the molecules or the atoms of the conductor,collide and other atoms and electrons, thereby producing heat. The unit of Resistance The practical unit of resistance is ohm. A conductor is have a resistance of one ohm if it permits one ampere current to flow through it when one volt is applied through its terminals. The unit of resistance is ohm. Laws of Resistance The resistance R offered by a conductor depends on the following factors: 1. It varies directly as its length l. 2. It varies inversely as the cross section A of the conductor. 3. It depends on the nature of the material. 4. It also depends on the temperature of the conductor. R= ρ.l/A where, ρ is a constant depending o
Let n be the number of free electron available per cubic metre of the conductor material. Let v be the axial drift velocity. In time dt, distance travelled would be vdt . If A is the cross section of the conductor, then the volume is vAdt . If e is the charge of each electron then total charge which crosses the section in time dt is dq=nAev.dt. Since current is the rate of flow of charge, it is given as i=dq/dt=(neAv.dt)/dt i=venA Current density, J=i/A=vne Ampere/m2. Normal J for copper conductor= 1.55 x 10^6 A/m2, n=10^29, e=1.6x10^-19 coulomb, v=9.7 x 10^-5 m/s = 0.58 cm/min.