Semiconductors and Basic Electronics: Exam Notes
Complete notes on semiconductors for competitive exams: energy band gaps, n-type and p-type doping, the p-n junction, diodes, rectifiers, transistors and logic gates.
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Every electronic device a student uses, from a calculator to a mobile phone, rests on one family of materials whose conductivity lies between that of a metal and that of an insulator. These are the semiconductors. Silicon and germanium are the classic examples, and because their behaviour can be controlled by adding minute traces of other elements, they can be made into diodes, transistors, solar cells and integrated circuits. This note explains how a semiconductor differs from a conductor and an insulator, how doping creates n-type and p-type material, how the p-n junction works, and what the common devices do. The chapter is asked in SSC, Railway, NDA and state examinations, usually as one-line factual questions.
Conductors, insulators and semiconductors
The difference between the three is explained by the energy band theory. Electrons in a solid occupy a lower valence band and a higher conduction band, and the gap between them is the forbidden energy gap. In a conductor the two bands overlap, so electrons move freely and the gap is effectively zero. In an insulator the gap is very wide, about 5.5 electron volts in diamond, so almost no electron can cross it at room temperature. In a semiconductor the gap is small: about 1.1 electron volts in silicon and about 0.7 electron volts in germanium, so a few electrons cross it with the help of thermal energy. Gallium arsenide, a compound semiconductor, has a gap of about 1.43 electron volts.
This small gap gives the semiconductor its most tested property. As the temperature rises, more electrons jump into the conduction band, so conductivity rises and resistance falls. A semiconductor therefore has a negative temperature coefficient of resistance, which is the opposite of a metal. When an electron leaves the valence band it leaves behind a vacancy called a hole, which behaves as a mobile carrier of positive charge. Electrons are more mobile than holes, which is why n-type devices switch faster.
| Property | Conductor | Semiconductor | Insulator |
|---|---|---|---|
| Forbidden energy gap | Bands overlap; no gap | Small, about 0.7 to 1.5 eV | Very wide, above about 3 eV |
| Example | Copper, silver, aluminium | Silicon, germanium, gallium arsenide | Diamond, glass, rubber, mica |
| Effect of heating | Resistance rises | Resistance falls | Resistance falls slightly |
| Temperature coefficient | Positive | Negative | Negative |
| Charge carriers | Electrons only | Electrons and holes | Practically none |
Intrinsic and extrinsic semiconductors
A pure semiconductor is called intrinsic. In it the number of free electrons equals the number of holes, and conduction is weak. Adding a controlled impurity, a process called doping, makes it extrinsic and raises its conductivity enormously; typically only one atom in a million or so is replaced. There are two kinds of doping.
- n-type: a pentavalent element such as phosphorus, arsenic, antimony or bismuth is added. Four of its five valence electrons form bonds and the fifth is left nearly free, so the impurity is a donor and electrons are the majority carriers while holes are the minority carriers.
- p-type: a trivalent element such as boron, aluminium, gallium or indium is added. It can fill only three bonds, so a hole is created; the impurity is an acceptor and holes are the majority carriers while electrons are the minority carriers.
An important point for objective questions is that a doped semiconductor remains electrically neutral, because each added atom brings its own nucleus along with its electrons. In n-type material the donor energy level lies just below the conduction band; in p-type material the acceptor level lies just above the valence band.
The p-n junction and the diode
When a p-type and an n-type region are formed in the same crystal, electrons and holes diffuse across the boundary and recombine, leaving a region without free carriers called the depletion layer. The exposed ions set up a potential barrier across it, about 0.3 volt in a germanium junction and about 0.7 volt in a silicon junction. In forward bias the p side is joined to the positive terminal, the barrier is reduced and a large current flows through a low resistance. In reverse bias the barrier widens, the resistance is very high and only a tiny leakage current due to minority carriers flows. A p-n junction therefore conducts in one direction only, which makes it a rectifier that converts alternating current into direct current. A half-wave rectifier uses one diode and its output has the same frequency as the input; a full-wave or bridge rectifier uses two or four diodes and its output frequency is double the input, so a fifty hertz supply gives a hundred hertz ripple.
Special diodes and the transistor
A Zener diode is worked in reverse breakdown, where the voltage stays almost constant, and is used as a voltage regulator. A light emitting diode is forward biased and turns electrical energy into light; it is made of compounds such as gallium arsenide and gallium phosphide, not of silicon. A photodiode is reverse biased and turns light into a current, and a solar cell generates an electromotive force of its own without any external bias.
The bipolar junction transistor has three regions: a heavily doped emitter, a very thin and lightly doped base, and a moderately doped collector. It comes as npn or pnp, and the emitter current equals the sum of the base and collector currents. Its current gain in the common base configuration is alpha, equal to collector current divided by emitter current and always a little less than one; in the common emitter configuration it is beta, equal to collector current divided by base current. Of the three configurations, common emitter gives the highest power gain and is the usual amplifier; common collector has a voltage gain of about one and is used for impedance matching. In the active region the transistor amplifies; driven between cut-off and saturation it works as a switch. The transistor was invented in 1947 at Bell Laboratories by John Bardeen, Walter Brattain and William Shockley, who shared the Nobel Prize in Physics in 1956, and the integrated circuit was developed by Jack Kilby in 1958. Logic gates follow: OR, AND and NOT are the basic gates, while NAND and NOR are called universal gates because either can build all the rest.
Exam Point of View
Questions from this chapter are short and factual. Band gap values for silicon, germanium and diamond are asked directly, as is the negative temperature coefficient of resistance. Doping is tested by naming an element and asking whether it gives n-type or p-type material, so fix pentavalent with donor and trivalent with acceptor. The diode brings questions on the barrier voltage, on forward and reverse bias, and on the ripple frequency of half-wave against full-wave rectifiers. The transistor brings the thin lightly doped base, the relation between emitter, base and collector currents, and the configuration with the highest gain. NAND and NOR as universal gates, and the 1947 invention of the transistor by Bardeen, Brattain and Shockley, complete the usual set. Traps: applying the metallic resistance rule to a semiconductor, and thinking a doped crystal carries a net charge.
Important Facts
| Band gap of silicon | About 1.1 eV at room temperature |
|---|---|
| Band gap of germanium | About 0.7 eV |
| Band gap of diamond | About 5.5 eV, the standard insulator |
| Band gap of gallium arsenide | About 1.43 eV |
| n-type dopants | Pentavalent: phosphorus, arsenic, antimony, bismuth (donors) |
| p-type dopants | Trivalent: boron, aluminium, gallium, indium (acceptors) |
| Barrier voltage | About 0.3 V for a germanium junction, about 0.7 V for silicon |
| Ripple frequency | Half-wave equals input; full-wave is twice the input (50 Hz gives 100 Hz) |
| Zener diode | Reverse breakdown region; used as a voltage regulator |
| Transistor regions | Emitter heavily doped, base thin and lightly doped, collector moderately doped |
| Current relation | Emitter current equals base current plus collector current |
| Universal gates | NAND and NOR; basic gates are AND, OR and NOT |
| Transistor invented | 1947, Bell Laboratories, by Bardeen, Brattain and Shockley; Nobel Prize 1956 |
| Integrated circuit | Developed by Jack Kilby from 1958; Nobel Prize in Physics 2000 |
Practice MCQs on this topic
With a rise in temperature, the electrical resistance of a semiconductor:
- A.increases
- B.decreases
- C.remains unchanged
- D.first increases and then becomes zero
Show answer
Explanation
The correct answer is B, decreases. A semiconductor has a small forbidden energy gap, so heating supplies thermal energy that pushes more electrons from the valence band into the conduction band, creating more electron-hole pairs. More charge carriers mean higher conductivity, and therefore lower resistance, which is why a semiconductor is said to have a negative temperature coefficient of resistance. Option A is wrong because resistance rises with temperature in metals, where the carriers are already free and increased lattice vibration merely obstructs them; students apply the metallic rule here by mistake. Option C is wrong because the resistance change in a semiconductor is in fact large and is used in thermistors. Option D is wrong because the resistance never becomes zero; it falls steadily but a semiconductor does not become a superconductor on heating.
Which of the following impurities, when added to pure silicon, produces an n-type semiconductor?
- A.Boron
- B.Indium
- C.Arsenic
- D.Gallium
Show answer
Explanation
The correct answer is C, arsenic. An n-type semiconductor is made by doping with a pentavalent element, that is one with five valence electrons, such as phosphorus, arsenic, antimony or bismuth. Four of the five electrons form covalent bonds with neighbouring silicon atoms and the fifth is left almost free, so the impurity acts as a donor and electrons become the majority carriers. Option A is wrong because boron is trivalent and gives p-type material. Option B is wrong because indium is also trivalent and is a classic acceptor impurity. Option D is wrong for the same reason, as gallium has three valence electrons. The memory aid is that pentavalent means donor and n-type, while trivalent means acceptor and p-type, and the doped crystal stays electrically neutral in both cases.
In a p-type semiconductor, the majority charge carriers are:
- A.electrons
- B.holes
- C.protons
- D.positive ions
Show answer
Explanation
The correct answer is B, holes. A p-type semiconductor is made by adding a trivalent impurity such as boron, aluminium, gallium or indium. Because the impurity atom has only three valence electrons, one covalent bond is left incomplete and a vacancy called a hole is created; the impurity therefore acts as an acceptor and holes are the majority carriers, while the few thermally generated electrons are the minority carriers. Option A is wrong because electrons are the majority carriers in n-type material, not p-type. Option C is wrong because protons are bound in the nuclei and never act as charge carriers in a solid. Option D is wrong because the acceptor ions are fixed in the crystal lattice and cannot move, so they carry no current even though they are negatively charged.
The forbidden energy gap of silicon at room temperature is approximately:
- A.0.7 eV
- B.1.1 eV
- C.3.5 eV
- D.5.5 eV
Show answer
Explanation
The correct answer is B, about 1.1 eV. Silicon is the most widely used semiconductor and its forbidden energy gap, the separation between the top of the valence band and the bottom of the conduction band, is about 1.1 electron volts at room temperature. Option A is wrong because 0.7 electron volts is the band gap of germanium, the other elemental semiconductor, and the two values are the pair most often swapped in examinations. Option C is wrong because a gap of that size belongs to a wide band gap material rather than to silicon. Option D is wrong because 5.5 electron volts is the band gap of diamond, which is quoted as the standard example of an insulator. Gallium arsenide, for comparison, has a gap of about 1.43 electron volts.
A p-n junction diode is chiefly used in an electronic circuit as a:
- A.rectifier
- B.voltage amplifier
- C.oscillator
- D.transformer
Show answer
Explanation
The correct answer is A, rectifier. A p-n junction conducts freely in forward bias, where the potential barrier is reduced, and blocks current in reverse bias, where only a tiny leakage current flows. This one-way conduction is exactly what is needed to turn alternating current into direct current, so the diode's main use is as a rectifier, in half-wave, full-wave or bridge arrangements. Option B is wrong because amplification needs a three-terminal device such as a transistor; a two-terminal diode cannot supply power gain. Option C is wrong because an oscillator requires an amplifier with positive feedback, although special diodes can support oscillation. Option D is wrong because a transformer works by mutual induction between coils, handles only alternating current, and contains no semiconductor at all.
Which diode is operated in the reverse breakdown region and is used as a voltage regulator?
- A.Light emitting diode
- B.Photodiode
- C.Zener diode
- D.Solar cell
Show answer
Explanation
The correct answer is C, Zener diode. A Zener diode is heavily doped so that breakdown occurs at a low and sharply defined reverse voltage. Beyond that point the voltage across it stays almost constant even when the current through it changes a great deal, which is precisely the property a voltage regulator needs. Option A is wrong because a light emitting diode is worked in forward bias and converts electrical energy into light. Option B is wrong because a photodiode is indeed reverse biased, but it is used to detect light rather than to hold a voltage steady, and it is not operated in breakdown. Option D is wrong because a solar cell works with no external bias at all and generates its own electromotive force from incident light.
In a bipolar junction transistor, which region is the thinnest and the most lightly doped?
- A.Emitter
- B.Base
- C.Collector
- D.All three are doped equally
Show answer
Explanation
The correct answer is B, base. The base of a transistor is made very thin and only lightly doped so that most of the carriers injected by the emitter pass straight through it to the collector instead of recombining in it. This is what gives the transistor its large current transfer ratio. Option A is wrong because the emitter is the most heavily doped region, since its job is to supply carriers in plenty. Option C is wrong because the collector is moderately doped and is made physically the largest region so that it can dissipate the heat generated there. Option D is wrong because unequal doping is essential; it is also the reason a transistor cannot be built by simply joining two separate diodes back to back, since no thin common base would exist.
Which pair of logic gates is called universal gates?
- A.AND and OR
- B.NAND and NOR
- C.OR and NOT
- D.XOR and XNOR
Show answer
Explanation
The correct answer is B, NAND and NOR. They are called universal gates because either one of them, used repeatedly, can build every other logic gate, including NOT, AND, OR, XOR and XNOR. This matters in practice because a manufacturer can lay down a whole integrated circuit using only one kind of gate. Option A is wrong because AND and OR, along with NOT, are the basic gates, and AND and OR by themselves cannot produce an inversion. Option C is wrong for the same reason; OR and NOT together can produce NOR and from it the rest, but the two gates are not individually universal in the sense asked. Option D is wrong because XOR and XNOR are derived gates built from the basic ones and are not universal.
If the input to a full-wave rectifier has a frequency of 50 Hz, the ripple frequency of its output will be:
- A.25 Hz
- B.50 Hz
- C.100 Hz
- D.zero
Show answer
Explanation
The correct answer is C, 100 Hz. A full-wave rectifier conducts during both halves of the input cycle, since one pair of diodes handles the positive half and the other pair the negative half. The output therefore contains two pulses for every cycle of the input, so its fundamental ripple frequency is twice the input frequency, that is 100 hertz for a 50 hertz supply. Option A is wrong because the frequency is doubled, not halved. Option B is wrong because 50 hertz is the ripple frequency of a half-wave rectifier, which conducts in only one half of each cycle; this is the standard pair of values examiners test. Option D is wrong because the output of a rectifier is pulsating direct current and its ripple is zero only after a filter has smoothed it.
The transistor was invented in 1947 at Bell Laboratories by:
- A.Jack Kilby and Robert Noyce
- B.J. J. Thomson and Ernest Rutherford
- C.Bardeen, Brattain and Shockley
- D.Michael Faraday and James Clerk Maxwell
Show answer
Explanation
The correct answer is C, Bardeen, Brattain and Shockley. John Bardeen, Walter Brattain and William Shockley built the first working transistor at Bell Laboratories in 1947 and shared the Nobel Prize in Physics in 1956 for the discovery of the transistor effect. Option A is wrong because Jack Kilby and Robert Noyce are associated with the integrated circuit, developed from 1958, for which Kilby received the Nobel Prize in Physics in 2000. Option B is wrong because J. J. Thomson discovered the electron and Rutherford the nucleus, both long before electronics. Option D is wrong because Faraday and Maxwell belong to the nineteenth century work on electromagnetism. The word transistor itself is formed from transfer and resistor. The device they built was a point-contact transistor in germanium, and Shockley went on to describe the junction transistor that made mass production possible; the three names are usually asked together as a set.
Which statement about a semiconductor that has been doped is correct?
- A.It acquires a net negative charge if doped n-type
- B.It acquires a net positive charge if doped p-type
- C.It remains electrically neutral in both cases
- D.Its conductivity falls below that of the pure crystal
Show answer
Explanation
The correct answer is C, it remains electrically neutral in both cases. Doping replaces a few host atoms with impurity atoms, and each impurity atom brings its own nucleus along with its electrons, so the total positive and negative charge in the crystal stays balanced. The names n-type and p-type describe which carrier is in the majority, not an overall charge. Option A is wrong because the extra electron contributed by a donor is matched by the extra proton in the donor nucleus. Option B is wrong for the same reason on the acceptor side. Option D is wrong because doping raises conductivity sharply, often by several orders of magnitude, which is the whole purpose of the process and the reason extrinsic semiconductors, not pure ones, are used in devices.
Frequently Asked Questions
Why does the resistance of a semiconductor fall on heating while that of a metal rises?
In a metal the free electrons are already present, so heating only makes the lattice vibrate harder, which scatters the electrons and raises resistance. In a semiconductor the carriers have to be created: heating gives electrons enough energy to cross the small forbidden gap into the conduction band, and each one leaves a hole behind. The number of carriers grows far faster than the scattering increases, so conductivity rises and resistance falls. This is described by saying the semiconductor has a negative temperature coefficient of resistance.
Is an n-type semiconductor negatively charged?
No. The name refers only to which carrier is in the majority. Each pentavalent donor atom contributes one nearly free electron, but it also brings a nucleus with one extra proton, so the positive and negative charges balance exactly. An n-type crystal is therefore electrically neutral, and so is a p-type crystal, where the acceptor atoms create holes. This is one of the most common objective questions on the chapter.
Why can a transistor not be made by joining two diodes back to back?
Because the action of a transistor depends on a base that is extremely thin and only lightly doped, so that most of the carriers injected by the emitter sweep through it and reach the collector instead of recombining. Two separate diodes joined externally would have thick, heavily doped regions in the middle, where all the injected carriers would recombine, so no current would be transferred from one junction to the other and there would be no amplification.
What is the difference between a half-wave and a full-wave rectifier?
A half-wave rectifier uses a single diode and conducts during only one half of each input cycle, so its output is a train of pulses at the input frequency and it wastes half the supply. A full-wave rectifier uses two diodes with a centre-tapped transformer, or four in a bridge, and conducts during both halves, so there are two pulses per input cycle. Its ripple frequency is therefore twice the input frequency and its output is easier to smooth into steady direct current.
Which semiconductor devices are used in forward bias and which in reverse bias?
A rectifier diode and a light emitting diode are used in forward bias, where the potential barrier is reduced and current flows easily; the LED turns that current into light. A Zener diode is used in reverse bias, deliberately taken into the breakdown region where the voltage stays constant, and a photodiode is also used in reverse bias so that the small current it passes depends on the light falling on it. A solar cell needs no external bias at all and generates its own electromotive force.
Sources
- Physics Part II (Class XII), Chapter 14: Semiconductor Electronics — NCERT
- Physics Part I (Class XII), Chapter 3: Current Electricity — NCERT
- Science (Class X), Chapter 12: Electricity — NCERT





