CBSE Class 12 Physics 2023: question 32(a)
Set in the CBSE Class 12 board exam of 2023, paper 55/5/1, section D, question 32(a), for 5 marks. Try it first; the hints and our step-by-step solution are below.
Q32(a) · 5 marks · Long answerSemiconductor Electronics: Materials, Devices and Simple Circuits
Draw the circuit arrangement for studying V-I characteristics of a p-n junction diode in (i) forward biasing and (ii) reverse biasing. Draw the typical V-I characteristics of a silicon diode. Describe briefly the following terms : (i) minority carrier injection in forward biasing and (ii) breakdown voltage in reverse biasing.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 55/5/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
In forward bias, p is connected to + and you need a milliammeter. In reverse bias, the connections flip and you use a microammeter.
Hint 2
Think about where electrons and holes end up after crossing the junction in forward bias, and what happens to the reverse current at a critical voltage.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- 1 mark
(i) Forward-bias circuit (described): A battery is connected through a rheostat (potential divider) and a key so that its positive terminal goes to the p-side of the diode and its negative terminal to the n-side. A milliammeter is in series with the diode and a voltmeter is connected across the diode.
- 1 mark
(ii) Reverse-bias circuit (described): The battery connections are reversed, so the positive terminal goes to the n-side and the negative terminal to the p-side. The battery is applied through a potential divider. A microammeter is in series with the diode, because the reverse current is very small, and a voltmeter is connected across the diode.
- 1 mark
V–I characteristics of a Si diode (described): In the forward-bias quadrant, the current is negligible up to the threshold (cut-in) voltage of about 0.7 V. Beyond this, the current (in mA) rises steeply, almost exponentially. In the reverse-bias quadrant, a very small, nearly constant reverse current (in µA) flows. At the breakdown voltage , the reverse current suddenly increases sharply.
- 1 mark
(i) Minority carrier injection: In forward bias the barrier is lowered. Electrons from the n-side diffuse across the depletion region into the p-side, where they are minority carriers. Holes from the p-side cross into the n-side, where they are minority carriers. This injection of minority carriers across the junction produces the forward current.
- 1 mark
(ii) Breakdown voltage: This is the reverse-bias voltage at which the reverse current, which is almost constant until then, suddenly increases sharply, while the voltage remains nearly constant.
Answer: Forward and reverse bias circuits, Si V–I curve (knee ≈ 0.7 V, sharp rise at breakdown); definitions of minority carrier injection and breakdown voltage
Where the marks are
- Forward-bias circuit (1 mark)
- Reverse-bias circuit (1 mark)
- V–I characteristic curve (1 mark)
- Explanation of minority carrier injection (1 mark)
- Definition of breakdown voltage (1 mark)
Revise the chapter
- Chapter: Semiconductor Electronics: Materials, Devices and Simple Circuits (notes, formulas, where marks are lost and every past question)
- Topic: p-n Junction and Diode Characteristics
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