I–V characteristics
Curricula: GCSE (I–V characteristics), 2de, Sek I, A-level, IB B.5
Aim¶
Measure the current–voltage characteristics of a resistor, a filament lamp and a diode, and compare their shapes.
The bench¶
One 3 V source feeds three branches through the "+" (left) and "−" (right) buses; each branch has an ammeter and a voltmeter across the component. At the top is a 100 Ω resistor, in the middle a 6 V / 3 W lamp, at the bottom a diode with a 100 Ω protective resistor.
Procedure¶
- Vary the source voltage from 0 to 6 V in steps of 1 V.
- At each step write down the "voltage — current" pairs for all three components.
- Plot three \(I(U)\) graphs.
- Connect the diode the other way round: swap the plugs of the two cables on its terminals — anode and cathode — and repeat the measurements.
Expected result
At 3 V: the resistor — about 2.78 V and 28 mA; the lamp — about 2.74 V and 314 mA; the diode — about 0.61 V and 22 mA (a real silicon diode has slightly more at this current, about 0.7 V). The resistor's graph is a straight line. The lamp's curve bends: the filament heats up and its resistance rises — about 12 Ω at 6 V. The diode hardly conducts below 0.5 V; beyond that the current rises sharply, while the voltage across it stays at about 0.6–0.7 V. With the diode reversed, the diode current is zero.
Questions¶
- Why does the resistance of the lamp rise with voltage?
- Why is a resistor connected in series with the diode?
Answers
- The current heats the filament, and the resistance of tungsten grows with temperature: the higher the voltage, the hotter the filament. At 3 V the lamp has 2.74 V / 314 mA ≈ 8.7 Ω, at 6 V about 12 Ω, and a cold filament has only about a fifteenth of its resistance at full glow.
- Above about 0.6 V the diode current rises very steeply, and the diode itself hardly limits it. The 100 Ω resistor takes the rest of the voltage and sets the current, about 22 mA at 3 V; without it only the source's 0.5 Ω internal resistance, the ammeter and the cables would limit the current, which would reach amperes and destroy a real diode.