Electric Resistance (DP IB Physics)
Revision Note
Electric Resistance
As electrons move through a conductor within a circuit (or any other component), they collide with the metal ions and transfer some of their electrical potential energy to the positive ions of the metal
Free electrons collide with metal ions which resist their flow
This transfer of energy results in an increase in the kinetic energy of the atoms in the lattice
This raises the overall internal energy of the metal
The macroscopic result of this transfer is the heating up of the wire which causes resistance
Some metals heat up more than others
The greater the heating effect, the higher the resistance
Copper has a low electrical resistance, making it an ideal material to make wires from
All electrical components have resistance to different degrees, including the wires and batteries
Voltmeters and ammeters are said to be ideal when
An ideal voltmeter has infinite resistance, such that no current passes through it
An ideal ammeter has zero resistance, such that all the current passes through it
Examiner Tips and Tricks
Unless otherwise stated, voltmeters and ammeters will always be ideal in exam questions. This simply means you do not need to consider the resistance of an ammeter or voltmeter as part of the total resistance of the circuit
When non-ideal meters are used, the resistance will always be constant
Calculating Resistance
The resistance R of a component is defined as:
The ratio of the potential difference across the component to the current flowing through it
It is calculated as follows:
Where:
V = potential difference (V)
I = electric current (A)
R = resistance (Ω)
The units for resistance is ohms represented by the greek letter 'omega', Ω
The higher the resistance of a component, the lower the current flowing through it and vice versa
In terms of SI base units: 1 Ω = 1 kg m2 s–3 A–2
Worked Example
A charge of 5.0 C passes through a resistor at a constant rate in 30 s. The potential difference across the resistor is 2.0 V.
Calculate the resistance R of the resistor.
Answer:
Step 1: Write down the known quantities
Charge, Δq = 5.0 C
Time, Δt = 30 s
Potential difference, V = 2.0 V
Step 2: Write down the equation for the resistance R
Step 3: Calculate the current I from the charge and time
Step 4: Substitute the numbers into the above equation
Step 5: Substitute this value of the current into the equation for the resistance given in Step 2
Examiner Tips and Tricks
It is common for current to be given in mA or potential difference in kV. For resistance to be in Ω, you must convert mA into A and kV into V!
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