Resistance of copper wire increases if

(a) temperature is reduced
(b) temperature is increased
(c) free electrons become less
(d) free electrons become more

Correct Answer: (b) temperature is increased

Explanation

Copper has a positive temperature coefficient, so resistance increases with temperature.

Notes for More Information

Concept: Effect of Temperature on Resistance (Copper)

1.    Copper is a metallic conductor.

2.    Metals like copper have a positive temperature coefficient of resistance.

3.    This means that when temperature increases, resistance also increases.


Why Resistance of Copper Increases with Temperature

4.    When temperature rises, copper atoms (positive metal ions) start to vibrate more vigorously.

5.    The increased vibration causes more frequent collisions between:

·        Free electrons (current carriers)

·        Vibrating copper atoms

6.    These collisions oppose the motion of electrons.

7.    As a result, the flow of current becomes more difficult.

8.    This appears as an increase in electrical resistance.


Resistance (Definition)

9.    Resistance is the property of a conductor that opposes the flow of electric current.

10.                    It is denoted by R.

11.                    The SI unit of resistance is ohm (Ω).


Formula for Resistance

12.                    The resistance of a conductor is given by:



13.                    Where:

  •  = resistivity of the conductor
  •  = length of the conductor
  •  = cross-sectional area

Effect of Temperature on Different Materials

Conductor (Metals)

14.                    When the temperature increases, the resistance increases.

15.                    Hence, metals have a positive temperature coefficient.

Insulator

16.                    When the temperature increases, the resistance decreases.

17.                    This is because more charge carriers become available.

Semiconductor

18.                    When the temperature increases, the resistance decreases.

19.                    This is due to the generation of more charge carriers (electrons and holes).


Conclusion

20.                    Copper, being a metallic conductor, shows an increase in resistance with increase in temperature.

21.                    This behavior is due to increased atomic vibrations and electron collisions.

22.                    Therefore, copper has a positive temperature coefficient of resistance.

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