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^Kirchoff’s laws

Kirchoff’s laws

1st or junction rule: ΣI = 0 at any isolated junction to conserve current.

2nd or mesh rule: ΣV = 0 for any closed mesh to conserve energy.

^Secondary cells

Secondary cells

Secondary cells or accumulators are those which can be recharged. e.g. lead accumulator & alkali cell. Due to smaller internal resistance a secondary cell gives more current than a primary.

^Standard cell

Standard cell

A cell is said to be Standard if its EMF is precisely defined. e.g. Weston – Cadmium cell with an EMF

E = 1.0183 V at 20 0 C.

 

^EMf of a cell

EMf of a cell

It is defined as the work done by the cell force in moving a unit positive charge inside the cell from the negative to the positive terminal against the potential difference between the cell terminals when no current is drawn from it. i.e. mathematically

EMF of a cell depends upon Nature & concentration of the electrolyte, temperature of the electrolyte, nature of the electrodes. But is independent of size of electrodes, Distance between the electrodes, area of electrodes immersed in the electrolyte & quantity of electrolyte.

^Zero α for Nichrome, constantan & Manganin

Zero α for Nichrome, constantan & Manganin

i.e. there is appreciably no change (or very slight change) in R with temperature.

1. Constantan (or Eureka) ≡ Cu 60% & Ni 40%

2. Manganin ≡ Cu 84%, Mn 12% & Ni 4%

3. Nichrome ≡ Ni 67.5%, Cr 15%, Fe 16% & Mn 1.5%

^- ve α for semiconductors

– ve α for semiconductors

On heating semiconductors the number density of free electrons increases & τ decreases. But the effect of increase in ‘n’ is stronger than decrease in relaxation time (τ). Hence net effect is increase in ‘n’ which decreases resistance.

^Temperature variation of resistance

Temperature variation of resistance

On heating a material its resistivity changes, which changes the electrical resistance of the material. The electrical resistivity at temperature T can be calculated by using relation: ρ= ρ0 (1+ αT)

^Resistance of various geometries

Resistance of various geometries

Relations 1 to 4 are across length & relations 5 is for radial flow.

Above results are valid for uniform resistivity ρ only.

^The magnitude of the difference between the individual measurement and the actual or true value is called the absolute error in the

^The magnitude of the difference between the individual measurement and the actual or true value is called the absolute error in the

measurement of that quantity. It is represented by

The ratio of the absolute error to the actual quantity measured is called the relative error of the measurement.

Relative error 

^Continuity equation for Conductors

Continuity equation for Conductors

For a conductor of variable cross section

= constant at all sections but drift speed varies inversely with area of cross section.

 

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