Meters for measuring circuits
Definition
Multimeter
A single meter that can be switched to measure current, potential difference or resistance.
- Measuring circuits are built so that the meters record the current and potential difference without changing what they measure.
- An ammeter is placed in series and has a very low resistance, so adding it to a circuit barely changes the current.
- A voltmeter is placed in parallel and has a very high resistance, so it draws almost no current from the component it measures.
- A multimeter combines several meters in one, and a dial selects whether it measures current, potential difference or resistance.
- The black lead goes into the socket marked COM, while the red lead goes into the socket for volts and ohms or the socket for amperes, depending on the measurement.
- On the resistance setting, the multimeter passes a small current from its own battery, so the component must be disconnected from the circuit first.
- Each setting has a range, such as 20 V20\ \text{V}20 V or 200 mA200\ \text{mA}200 mA, and the best range is the smallest one that is still larger than the value being measured.
Accurate readings
Definition
Resolution
The smallest change in a quantity that a measuring instrument can show.
Definition
Zero error
A reading shown by a measuring instrument when the true value of the quantity is zero.
- The resolution of a digital meter is set by its last digit, so a meter reading 1.23 V1.23\ \text{V}1.23 V has a resolution of 0.01 V0.01\ \text{V}0.01 V.
- Choosing a smaller range usually gives more digits after the decimal point, and so a better resolution.
- Before a meter is used, check for a zero error by reading it with no current or no potential difference applied.
- A zero error must be subtracted from every reading, because it shifts all the readings by the same amount.
- On an analogue meter, read the needle with your eye directly in line with it, so that parallax does not make the reading too high or too low.
- Readings change if the component warms up, so close the switch only while taking each reading.
- Take each reading more than once and calculate a mean, ignoring any value that is clearly anomalous.
Testing for faults
Definition
Open circuit
A circuit with a break in it, so there is no complete path and no current flows.
Definition
Short circuit
A path of very low resistance that lets the current bypass part of a circuit.
- An open circuit has a break in it, such as a broken wire, a loose connection or a blown filament, so there is no current anywhere in that loop.
- A short circuit is a low-resistance path that lets the current bypass a component, so that component stops working and the current in the rest of the circuit rises.
- A continuity tester, made from a cell and a buzzer or lamp, or a multimeter on its resistance setting, shows whether a wire, fuse or switch provides a complete path.
- A reading of nearly 0 Ω0\ \Omega0 Ω, or a sounding buzzer, shows a complete path, while a very large reading shows a break.
- A voltmeter can find the faulty part of a series circuit without disconnecting anything.
- Across a working component in a circuit with a break, the voltmeter reads zero, because no current flows through it.
- Across the broken component, the voltmeter reads the full supply potential difference, because the voltmeter completes the circuit around the gap.
- A component that has been short-circuited has a potential difference of zero across it, even though the supply is working.
Circuits that measure
- A sensor in series with a fixed resistor turns a change in the surroundings into a change in potential difference, which a voltmeter can read.
- In a temperature-sensing circuit, an NTC thermistor is connected in series with a fixed resistor and a d.c. supply, with a voltmeter across the fixed resistor.
- As the temperature rises, the resistance of the thermistor falls, so the current increases.
- The fixed resistor now takes a larger share of the supply potential difference, so the voltmeter reading rises.
- A light-sensing circuit works in the same way, with an LDR in place of the thermistor, so the voltmeter reading rises as the light gets brighter.
- The circuit is calibrated by recording the voltmeter reading at several known temperatures or light intensities, so that any later reading can be converted back into a temperature or light intensity.
Example
Finding a fault with a voltmeter
- Three identical lamps, A, B and C, are connected in series with a 6.0 V6.0\ \text{V}6.0 V battery, and none of them lights.
- A voltmeter across lamp A reads 0 V0\ \text{V}0 V, so no current is flowing through lamp A.
- A voltmeter across lamp B reads 6.0 V6.0\ \text{V}6.0 V, which is the full battery potential difference.
- A voltmeter across lamp C reads 0 V0\ \text{V}0 V.
- The full potential difference appears across lamp B, so the break in the circuit is in lamp B, most likely a broken filament.
- Replacing lamp B completes the circuit, and each lamp then has about 2.0 V2.0\ \text{V}2.0 V across it.
Example
Correcting a zero error
- A digital ammeter reads 0.02 A0.02\ \text{A}0.02 A before it is connected to anything, which is a zero error.
- In the circuit, the same ammeter reads 0.47 A0.47\ \text{A}0.47 A.
- The corrected current of 0.45 A0.45\ \text{A}0.45 A is the value that should be used in any later calculation.
Common Mistake
- Do not measure the resistance of a component with a multimeter while it is still connected to a working circuit, because the reading will be wrong and the meter can be damaged.
- Do not put a multimeter on the current setting across a component, because its low resistance creates a short circuit.
- Do not assume that a voltmeter reading of zero across a component means that component is broken, because in a series circuit with a break, every working component reads zero.
Exam technique
Measurement and testing questions
- When you explain how a circuit is used for measuring, say where each meter goes, what it measures, and why its resistance does not upset the circuit.
- For a fault-finding question, use the readings to identify where the full supply potential difference appears, because that locates the break.
- For a sensor circuit, describe the chain in order: the condition changes, the sensor resistance changes, the current changes, and the voltmeter reading changes.
Self review
- Explain why an ammeter needs a very low resistance.
- Define the resolution of a measuring instrument.
- Describe how to check a meter for a zero error.
- Explain how a voltmeter can locate a broken lamp in a series circuit.
- Describe how the voltmeter reading changes in a thermistor and fixed resistor circuit as the temperature rises.