A carbon resistor has coloured bands as shown in fig. 2 below. T

For a metallic conductor, what is the relation between current density (J), conductivity (straight sigma) and electric field Intensity (E)?


The relation between current density (J), conductivity (straight sigma), and electric field intensity (E) is,

                  straight J with rightwards harpoon with barb upwards on top space equals space sigma E with rightwards harpoon with barb upwards on top


A moving coil galvanometer can be converted into a voltmeter by connecting:
  • A low resistance in series with its coil.
  • A low resistance in parallel with its coil.
  • A high resistance in parallel with its coil.
  • A high resistance in parallel with its coil.

D.

A high resistance in parallel with its coil.
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Chose the correct alternative A, B, C or D

In current electricity. Ohm’s law is obeyed by all:

  • solids

  • metals

  • liquids

  • gases


B.

metals

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The current flowing through a conductor is given by I = neAvd

(i) Identify each term in the equation.

(ii) Obtain an expression for vd, if the current flowing through the conductor of length I has its ends maintained at a potential difference of V volts.


i) In expression

     I = n e AVd

where

I = Current flowing through the conductor

n = Number of free electrons

e = Charge on the electron

A = Area of cross-section

Vd = Drift velocity.

(ii) Let e is the electronic charge and

m = Mass of each electron.

V = Potential difference across the conductor

I = Length of conductor

Then,

E =                             ... (i) 


Hence, under the influence of electric field E electron experience a force given by, 

                                                     F = qE

Acceleration of each electron is,

           a = e E / m                        ... (ii) 

At any instant of time, the velocity of an electron having thermal velocity u1 will be  where  of the time that has elapsed since its last collision. 

So, for n electron, 



where,  is the relaxation time. 

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A carbon resistor has coloured bands as shown in fig. 2 below. The resistance of the resistor is:

  • 26 straight capital omegaplus-or-minus 10%

  • 26 straight capital omegaplus-or-minus 5%

  • 260 straight capital omegaplus-or-minus 5%

  • 260 straight capital omegaplus-or-minus 10%


C.

260 straight capital omegaplus-or-minus 5%


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