Current
Definition
Electric current
The rate of flow of electric charge.
- Current, symbol III, is the rate of flow of charge around a circuit.
- Current is measured in amperes, unit A\text{A}A, often shortened to amps, using an ammeter connected in series.
- Small currents are often given in milliamperes, where 1 mA=0.001 A1\ \text{mA} = 0.001\ \text{A}1 mA=0.001 A.
- A current can only flow when there is a closed circuit and a source of potential difference, such as a cell, to push the charge around it.
Potential difference
Definition
Potential difference
The energy transferred per unit charge as the charge passes between two points in a circuit.
Definition
Volt
The unit of potential difference, equal to one joule of energy transferred for each coulomb of charge.
- Potential difference, symbol VVV, is the energy transferred per unit charge as the charge moves between two points in a circuit.
- Potential difference is measured in volts, unit V\text{V}V, using a voltmeter connected in parallel across the component.
- The definition can be written as an equation, V=EQV = \dfrac{E}{Q}V=QE, where EEE is the energy transferred in joules, J\text{J}J, and QQQ is the charge in coulombs, C\text{C}C.
- This means that 1 V=1 J/C1\ \text{V} = 1\ \text{J/C}1 V=1 J/C, so a potential difference of 1 V1\ \text{V}1 V transfers 1 J1\ \text{J}1 J of energy for every coulomb of charge.
- The potential difference across a cell tells you how much energy the cell gives to each coulomb of charge that passes through it.
- A 9 V9\ \text{V}9 V battery gives each coulomb of charge 9 J9\ \text{J}9 J of energy.
- The potential difference across a component tells you how much energy each coulomb transfers in that component, for example to the thermal store of a resistor or away from a lamp by light.
- The potential difference of the supply is what drives charge around a circuit, so a larger supply potential difference pushes more charge through a component every second.
Resistance
Definition
Resistance
A measure of how much a component opposes the flow of charge through it.
Definition
Ohm
The unit of resistance, equal to the resistance of a component that carries a current of one ampere when the potential difference across it is one volt.
- Resistance, symbol RRR, is a measure of how strongly a component opposes the flow of charge through it.
- Resistance is measured in ohms, unit Ω\OmegaΩ, and large resistances are often given in kilohms, where 1 kΩ=1000 Ω1\ \text{k}\Omega = 1000\ \Omega1 kΩ=1000 Ω.
- In a metal, the current is a flow of free electrons, which keep colliding with the ions that make up the metal.
- Each collision slows the electrons down and transfers energy to the ions, so the more often the electrons collide, the greater the resistance.
- Connecting wires are made of copper and have a very small resistance, while resistors are made to have a particular, much larger resistance.
How the three quantities are linked
- The current through a component depends on both the potential difference across it and its resistance.
- For a component with a fixed resistance, a larger potential difference produces a larger current, because each coulomb is pushed through with more energy.
- For a fixed potential difference, a larger resistance produces a smaller current, because the component opposes the flow of charge more strongly.
- The resistance of a component is found by dividing the potential difference across it by the current through it, R=VIR = \dfrac{V}{I}R=IV.
- To find a resistance, the potential difference and the current must be measured at the same time on the same component.
- Current: symbol III, measured in amperes, A\text{A}A, with an ammeter in series.
- Potential difference: symbol VVV, measured in volts, V\text{V}V, with a voltmeter in parallel.
- Resistance: symbol RRR, measured in ohms, Ω\OmegaΩ, and calculated from readings of VVV and III.
Example
Finding a resistance from meter readings
- A voltmeter across a resistor reads 6.0 V6.0\ \text{V}6.0 V, and the ammeter in series with it reads 0.30 A0.30\ \text{A}0.30 A.
- The supply is then turned down until the resistor has 3.0 V3.0\ \text{V}3.0 V across it, and the current falls to 0.15 A0.15\ \text{A}0.15 A.
- Halving the potential difference halved the current, and the resistance of this resistor stayed the same.
Example
Working with units
- A component has 5.0 V5.0\ \text{V}5.0 V across it and carries a current of 2.0 mA2.0\ \text{mA}2.0 mA.
- The current is converted to amperes before it is used.
- A 12 V12\ \text{V}12 V supply then drives 36 C36\ \text{C}36 C of charge through a heater, and rearranging the definition of potential difference gives the energy transferred.
Practical
Measuring the resistance of components
- Aim: to measure the potential difference across and the current through several components and calculate the resistance of each one.
- Apparatus: a low-voltage d.c. power supply, a switch, an ammeter, a voltmeter, connecting leads, and the components to test, such as two fixed resistors of unknown value, a filament lamp and a 50 cm50\ \text{cm}50 cm length of resistance wire held between two crocodile clips.
- Method, setting up:
- Connect the power supply, the switch, the ammeter and the first component in series.
- Connect the voltmeter in parallel across the component only, not across the ammeter as well.
- Set the power supply to a low potential difference, such as 2 V2\ \text{V}2 V.
- Method, taking readings:
- Close the switch, wait for the readings to settle, and record the current and the potential difference together.
- Open the switch straight away, so the component does not warm up between readings.
- Repeat the measurement twice more and calculate a mean current and a mean potential difference.
- Replace the component with the next one and repeat, keeping the supply setting the same.
- Results: record the mean potential difference, mean current and calculated resistance for each component, for example 2.0 V2.0\ \text{V}2.0 V and 0.10 A0.10\ \text{A}0.10 A for a resistor, giving 20 Ω20\ \Omega20 Ω.
- Conclusion: at the same potential difference, the component with the larger resistance carries the smaller current.
- Watch out: check both meters read zero before the switch is closed, and record each reading to the full resolution of the meter.
- Safety: use a low potential difference, open the switch between readings, and let the lamp and the wire cool before touching them.
Common Mistake
- Do not use the word voltage when you mean potential difference, and do not use amps as the name of the quantity, because the quantity is current.
- Do not say that current is used up in a component, because the energy carried by the charge is transferred while the current stays the same.
- Do not divide the readings the wrong way up, because resistance is potential difference divided by current.
Exam technique
Quantities and units
- Learn each quantity with its symbol, unit and the meter that measures it, because one-mark questions often ask for exactly these.
- Convert mA\text{mA}mA to A\text{A}A and kΩ\text{k}\OmegakΩ to Ω\OmegaΩ before you substitute into any equation.
- When you describe how the current changes, say what is being kept constant, such as the current increases when the potential difference increases for the same resistance.
- Write the unit with every final answer, using Ω\OmegaΩ for resistance, because a correct number without a unit can lose the mark.
Self review
- State the unit of potential difference and the meter used to measure it.
- Define potential difference.
- Describe what happens to the current through a fixed resistor when the potential difference across it increases.
- Explain, in terms of electrons, why a metal has resistance.
- Calculate the resistance of a component with 4.5 V4.5\ \text{V}4.5 V across it and a current of 0.15 A0.15\ \text{A}0.15 A through it.