Potential Difference (Cambridge (CIE) AS Physics)
Revision Note
Defining potential difference
A cell makes one end of the circuit positive and the other negative. This sets up a potential difference (p.d.) across the circuit
The potential difference across a component in a circuit is defined as:
The energy transferred per unit charge flowing from one point to another
Potential difference (sometimes called voltage) is measured in volts (V). One volt is the same as one joule per coulomb (J C-1)
If a bulb has a potential difference of 3 V, every coulomb of charge passing through the bulb will transfer 3 J of energy to the bulb
The potential difference of a power supply connected in series is always shared between the components in the circuit
Potential difference in a series circuit
The potential difference is the voltage across each component in a circuit
Potential difference is measured using a voltmeter
A voltmeter is always set up in parallel so that it can measure the difference in electrical potential on each side of the component
This is a measure of how much energy has been transferred to the component
Potential difference in a parallel circuit
Potential difference can be measured by connecting a voltmeter in parallel between two points in a circuit.
Calculating potential difference
The potential difference is defined as the energy transferred per unit charge
Another measure of energy transfer is work done
Therefore, potential difference can also be defined as the work done per unit charge
V = potential difference (V)
W = work done (J)
Q = charge (C)
Worked Example
A lamp is connected to a 240 V mains supply and another to a 12 V car battery. Both lamps have the same current, yet the 240 V lamp glows more brightly.
Explain in terms of energy transfer why the 240 V lamp is brighter than the 12 V lamp.
Answer:
Both lamps have the same current, which means charge flows at the same rate in both
The 240 V lamp has a potential difference 20 times greater than the 12 V lamp
Potential difference is the energy transferred (work done) per unit charge
This means the energy transferred by each coulomb of charge to the 240 V lamp is 20 times greater than for the 12 V lamp
This makes the 240 V lamp shine much brighter than the 12 V lamp
Examiner Tips and Tricks
Think of potential difference as being the energy per coulomb of charge transferred between two points in a circuit
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