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Tuesday, February 12, 2013

Charge carriers


Charge and Current


•The charge carriers are usually electrons; q = e=  -1.60 x 10-19 C; but be careful when a current of ions exists.

 

The value of n for copper is 8.0 x 1028 m3.

 

  1. Calculate the current in a copper wire with area of cross section 2.0 x 10-5 m2 when electrons drift through it with a mean speed of 0.80 mms-1

 

  1. In a silicon transistor with area of cross section 3.8 x 10-6 m2 there is a d.c. current of 200 mA. The current is a flow of electrons and the number density of free electrons for silicon is 8.3 x 1023 m3. Determine the mean drift speed of the electrons.

 

  1. The beam of electrons in a cathode-ray tube contains electrons travelling at 8.4 x 106 ms-1 and the current through the tube is 2.8 μA.
    (a) How many electrons are emitted per second from the cathode of the tube?
    (b) What is the number of electrons per unit length of the beam?

 

  1. A direct current of 3.0 A through a copper wire reaches a place where the area of cross section of the wire changes from 2.0 x 10-6 m2 to 0.090 x l0-6 m2. By what factor does the drift speed of the delocalised  electrons increase as they move from the wide to the narrow section? Suggest how this indicates that a damaged wire will overheat.

 

 

  1. Explain why a light comes on almost immediately when switched on, although the drift speed of the electrons in the wires to the light is so small.