I–V Graph of a Semiconductor Diode
Key idea: Learn the diode I–V characteristic, forward vs reverse bias, how to sketch the graph, and how to interpret turn-on and near-zero reverse current (O Level).
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The core idea
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Learning objectives
- State current as rate of charge flow measured in amperes
- Distinguish conventional current from electron flow
- Apply charge equals current multiplied by time
- Define source e.m.f. as work done per unit charge around a circuit
- Calculate total e.m.f. for sources in series
- Define component potential difference as work done per unit charge
- State resistance as potential difference divided by current
- Apply resistance equals potential difference divided by current
- Apply wire-resistance proportionalities for length and cross-sectional area
- Describe the effect of temperature on metallic resistance
- Sketch and interpret required current–voltage characteristics
1. Definition
A semiconductor diode allows current to flow easily in one direction (forward bias) but blocks current in the opposite direction (reverse bias). Its I–V graph is non-linear.
2. Key Ideas
- Forward bias: diode conducts after a small “turn-on” voltage; current then increases rapidly.
- Reverse bias: current is approximately zero (very small leakage).
- The diode is non-ohmic (resistance is not constant).
- Use a stated sign convention: V_D = V_A-V_K, and take positive conventional current from anode to cathode.
- When sketching, show:
- forward region with a steep rise after the turn-on
- reverse region close to the I = 0 axis
You should be able to sketch and interpret the I–V characteristic graph for a semiconductor diode.
3. Detailed Explanations
A. Forward bias vs reverse bias (in words)
- Forward bias: the diode is connected so it conducts (current flows).
- Reverse bias: the diode is connected the other way, so it blocks current (almost no current flows).
The anode is the p-side of the diode and the cathode is the n-side, marked by the bar on the circuit symbol. With V_D = V_A-V_K, positive V_D is forward bias and negative V_D is reverse bias.
B. Interpreting the I–V graph
In forward bias, the current is very small at first. After the diode “turns on”, the current increases quickly with voltage.
In reverse bias, the current stays very close to zero on the same scale. The graph is qualitative: a real diode does not change from perfectly off to perfectly on at one exact voltage, and the turn-on region depends on the diode and operating conditions.
For a silicon diode, the turn-on is often around 0.6 V, but exam questions usually focus on the shape of the graph.
4. Common Mistakes
- Drawing a straight line through the origin (that is for an ohmic conductor).
- Mixing up forward and reverse regions.
- Saying reverse current is “exactly zero” (it is usually very small).
- Treating the turn-on region as a perfect switch at one universal voltage.
- Reading negative voltage as reverse bias without first checking how V_D is defined.
5. Exam Tips
- Forward bias: “almost no current at first, then steep rise”.
- Reverse bias: “current is approximately zero”.
- If asked for resistance at a point, use R = V/I at that operating point. This ratio is not the gradient of a curved I–V graph.
6. Worked Examples
Modelled example 1
Identify forward vs reverse bias
Problem
Study the worked solution
Identify forward bias
Method
Call the conducting orientation forward bias.Reason
After turn-on, a small additional p.d. produces a large current increase.Working
Forward bias → steep positive-current branch.Identify reverse bias
Method
Call the reversed orientation reverse bias and treat current as approximately zero at this level.Reason
The diode blocks ordinary reverse current apart from very small leakage.Working
Reverse bias → near-zero current.
Guided practice 2
Explaining the steep rise
Problem
Interpret the graph slope qualitatively
Hints
Hint 1: read the axes
Hint 2: translate steepness
View solution step by step
Interpret the steep branch
Method
State that current increases rapidly for a small additional forward p.d.Reason
The diode has entered its strongly conducting, non-ohmic region.Working
Small Δ V → large Δ I.
Common misconception 3
Sketching
Learner response
Identify the defining graph property
View solution step by step
Draw the forward region
Method
Keep current near zero initially, then curve into a steep positive-current rise after turn-on.Reason
The diode conducts strongly only after sufficient forward bias.Working
Positive V: near-zero then steep rise.Draw the reverse region
Method
Keep the negative-voltage branch close to the voltage axis with approximately zero current.Reason
Ordinary reverse leakage is negligible on the course graph scale.Working
Negative V: I ≈ 0.
Examiner practice 4
Identifying the region from voltage sign
Examination question
Use the stated voltage convention
View solution step by step
Identify the region
1 markMethod
Classify -4.0 V as reverse bias under the stated convention.Reason
The voltage sign is opposite to the defined forward direction.Working
V_D < 0: reverse bias.Infer the current
2 marksMethod
State that current is approximately zero, with only negligible leakage on this scale.Reason
The diode blocks current in ordinary reverse bias.Working
I ≈ 0 A.
Self-mark with the mark scheme
Compare your response with each mark point. Select a point only when your response contains that evidence.
Self-mark bias identification, current and graph-based reason.
Challenge 5
Resistance at a point (forward bias)
Operating-point transfer
Calculate the ratio, then qualify it
Hints
Hint 1: use the point values
Hint 2: remember the curve
View solution step by step
Calculate the operating-point ratio
Method
Divide voltage by current.Reason
Both values describe the same forward-bias point.Working
R = 0.70/0.20 = 3.5 ΩQualify the result
Method
Call 3.5 Ω the V/I resistance at this point only.Reason
The diode’s curved characteristic means resistance changes with voltage and current.Working
Not a constant device resistance and not the curve gradient.
7. Mind Stretchers
Mind stretcher 1: Comparing three componentsExtension
Match each I–V shape to the component: metallic resistor (constant temperature), filament lamp, diode.
- straight line through origin
- curve that becomes less steep at higher voltage
- almost no current in reverse, steep rise in forward
Show Answer
- metallic resistor (ohmic)
- filament lamp
- diode
Mind stretcher 2: Reverse regionExtension
Why is the reverse current often treated as zero in simple sketches?
Show Answer
The reverse current is usually extremely small compared to forward current, so on the same scale it is negligible. For O Level sketches, you show it as “approximately zero”.
8. Practice and next step
Sketch the full forward- and reverse-bias graph from memory, then verify it in the I–V Characteristics Lab. Finish with the graph questions in Structured Current Electricity, then continue to D.C. Circuits.
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Course and syllabus information
- Course
- SEC G3 Physics
- Edition
- SEC G3 Physics 2027