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AS/A-level Physics: Resistivity

Resistivity

February 6, 2023

In this chapter of AS/A-level Physics, you will learn about resistivity.

Resistivity

-    Three things determine resistance:
1.    Length (L) --> Longer wire = Harder for current
2.    Cross sectional area (A) --> Wider wire = Easier for current to flow
3.    Resistivity (𝜌) --> Depends on material, may make it easier or harder for current to pass . Usually environmental factors play a part such as temperature

--> Resistivity: Resistance of a 1m length with a 1m2 cross sectional area (ohm metres)
𝜌 = 𝑅𝐴/𝐿
-    When it comes to AS/A-level Physics,  to find the resistivity of a wire you need to find its resistance
      •    Need to know cross sectional area

Core practical

Refer to AS/A-level Physics, we use a micrometre to measure diameter in 3 different areas of the wire
1.    Test wire should be clamped to a ruler with the circuit attached to the wire where the ruler reads zero
2.    Attach to the flying lead --> lead with crocodile clips
3.    Record the length of the test wire, current and voltmeter reading
4.    Use readings to calculate the resistance 𝑅 = 𝑉/𝐼 
5.    Repeat measurements and take average
6.    Repeat for several lengths --> 0.1 – 1m
7.    Plot resistance against lengths
       Gradient --> 𝑅/𝐼  = 𝑃 /𝐴 --> so multiply gradient cross-sectional area

Superconductors

Superconductors --> Zero Resistivity
-    Below a transition temperature the metal becomes a super conductor
-    This could be useful in power cables as there would be no loss of current or in really strong electromagnets that don’t need a constant power source + super fast electrical circuits

Power
-    Power is the rate of transfer of energy in AS/A-level Physics
-    Measured in watts (W), where 1 watt is equivalent to 1 joule per second --> 𝑃 = 𝐸/t
-    Really simple formula for power in electrical circuits:
𝑃 = 𝑉𝐼
Combine P=VI & V=IR for more equations

Energy
-    If you know power, you can easily work out energy
-    Simply need to multiply power by time
-    𝐸 = 𝑉𝐼𝑇

You now can handle some concept on resistivity in AS/A-level Physics.