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Resistance (Cambridge O Level Physics)
Revision Note
Ohm's Law
Resistance is the opposition to current
-
- For a given potential difference, the higher the resistance, the lower the current
- Therefore resistors are used in circuits to control the current
- The unit of resistance is the ohm, represented by the Greek symbol omega Ω
Ohm's Law
- The definition of resistance can be given using the equation
- Where
- R = resistance (ohms, Ω)
- V = potential difference (volts, V)
- I = current (amperes, A)
- Ohm's Law can be stated in words:
Current is directly proportional to potential difference as long as the temperature remains constant
Equation Triangle for Ohm's Law
Use the formula triangle to help you rearrange the equation until you feel confident to do it unaided
Consequences of Ohm's Law
- Resistors are used in circuits to control either
- The current in branches of the circuit (through certain components)
- The potential difference across certain components
- This is due to the consequences of Ohm's Law
- The current in an electrical conductor decreases as its resistance increases (for a constant p.d.)
- The p.d. across an electrical conductor increases as its resistance increases (for a constant current)
Determining Resistance
Determining Resistance
- To find the resistance of a component, we can set up a circuit like the one shown below
Circuit Set-up for Determining Resistance
A circuit to determine the resistance of a component includes a power supply, an ammeter connected in series, and a voltmeter connected in parallel to the component being measured
- The power supply should be set to a low voltage to avoid heating the component, typically 1-2 V
- Measurements of the potential difference and current should then be taken from the voltmeter and ammeter respectively
- Finally, these readings should be substituted into the resistance equation
Worked example
A charge of 5.0 C passes through a resistor of resistance R Ω at a constant rate in 3.0 s.
The potential difference across the resistor is 2.0 V. Calculate the value of R.
Answer:
Step 1: List the known quantities
- Charge, Q = 5.0 C
- Time, t = 3.0 s
- Potential difference, V = 2.0 V
Step 2: Rearrange the current & charge equation to make current the subject
Step 3: Substitute the known values to calculate
Step 4: Substitute the known values into the resistance equation to calculate
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