Class 12 Physics Semiconductor devices Notes

Chapter 22 – Semiconductor Devices | Nepal eNotes
PHYSICS • CHAPTER 22

Semiconductor Devices

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Source margin note: P-type → trivalent, N-type → pentavalent. Charge carrier: P-type → hole, N-type → free electron.

Semiconductor Devices

P-N Junction Diode

It is an electronic device which is formed after joining p-type and n-type semiconductors. Its electrical symbol is:

P N

When p-n junction is formed, free electron near the junction of p-type into holes and a layer is formed near the junction called depletion layer. When electron diffuse into holes +ve and −ve ions develop a potential called barrier potential. This potential prevents further diffusion of electrons into holes.

Biasing of Diode

The process of connecting diode to the battery is called biasing of diode.

1) Forward Biasing

P N +ve −ve
  • P-side of diode is connected to +ve terminal of battery.
  • Depletion layer decreases and barrier potential decreases.
  • Diode acts as closed switch.
  • Current flows through the diode.

2) Reverse Biasing

P N −ve +ve
  • P-side of diode is connected to −ve terminal of battery.
  • Depletion layer increases and barrier potential increases.
  • Diode acts as open switch.
  • Current does not flow through the diode.

Characteristics of Diode

The graphical relation between voltage and current passing through the diode is called characteristics of diode.

i) Forward Characteristic

Rh P-N mA IF VF Vk

It is the graphical relation between forward voltage and forward current. The circuit diagram is as shown in fig.

  • The current does not increase at first with increase in voltage.
  • As forward voltage is further increased, the current increases slowly.
  • After exceeding certain voltage called knee voltage (Vk), the current increases rapidly.

ii) Reverse Characteristic

VR V I IR V0

It is the graphical relation between reverse voltage and reverse current. The circuit diagram is as shown in fig.

  • The current increases slightly with increase in voltage and remains constant for a long range.
  • After exceeding certain voltage called breakdown voltage (Vb), the current increases suddenly and sharply.

Rectifier

It is an electrical device that converts AC to DC.

Diode as Rectifier

  1. Half-wave rectifier
  2. Full-wave rectifier

1) Half-Wave Rectifier

AC input RL Vin Vout

The circuit arrangement is as shown in figure. It consists of AC input, a transformer whose primary is connected to input and secondary is connected to load resistor through diode.

During +ve half cycle diode becomes forward biased, current flows through the diode and output is obtained across load resistor. During −ve half cycle diode becomes reverse biased, current doesn’t flow through the diode and output is not obtained. In this way only +ve half cycle is obtained as output and diode works as half-wave rectifier.

2) Full-Wave Rectifier

D₁ D₂ RL centre tap Vin Vout

The circuit arrangement is as shown in fig. It consists of AC input, a transformer, two diodes connected to centre tapping through load resistor.

During +ve half cycle diode D1 becomes forward biased and diode D2 becomes reverse biased. So current pass through D1 and output is obtained. During −ve half cycle diode D1 becomes reverse biased and D2 becomes forward biased. So current pass through D2 and output is obtained. In this way both half cycle are obtained as output and diode works as full wave rectifier.

Zener Diode

It is heavily doped PN junction diode that works in reverse bias condition without being damaged.

Electrical Symbol of Zener Diode

Zener Diode as Voltage Regulator

Rs Zener RL unregulated DC Vout

The circuit diagram is as shown in figure. It consist of a zener diode with a resistance Rs in series and a load resistance RL in parallel. The fluctuating input is connected across zener diode and output is taken from load resistance.

Let Vin be the supplied input voltage and I be the total current in the circuit. If Iz and IL be the currents through diode and load respectively, then:

I = Iz + IL    …(1)
Also, Vin = Vout + VR
or, Vout = Vin − VR
Vout = Vin − IRs    …(2)

When input voltage increases beyond certain limit, the current through the circuit increases sharply causing increase in voltage drop across Rs. Thus voltage across zener diode remains constant and also the output voltage remains constant.

When the input voltage decreases, then current through the circuit decreases causing decrease in voltage across Rs. As a result output voltage remains constant.

Logic Gates

The electronic circuit which makes logic decision is called logic gate.

Logic gate is an electronic circuit which can take one or more input but output will be one. Logic gates are made up of diode and transistor. A logic gate is used to allow and denied a digital signal.

Types of Logic Gate

  1. AND gate
  2. OR gate
  3. NOT gate
  4. NAND gate
  5. XOR gate
  6. XNOR gate
  7. NOR gate
NAND gate and NOR gate are universal gates.

1) AND Gate

AND gate whose output is high i.e. 1 when both the inputs are 1. If a single input is 0, the output 0 will be obtained.

Boolean expression for AND gate: Y = A·B
A B Y
ABY = A·B
000
010
100
111

OR Gate

The gate whose output is high i.e. 1 if any or all inputs are 1 is called OR gate. It has two or more inputs but only one output.

Boolean expression for OR gate: Y = A + B
A B Y
ABY = A+B
000
011
101
111
The source page also sketches an OR gate formed from two diodes and a physical realization circuit.

NOT Gate

The gate whose output is high i.e. 1 when the input is low i.e. 0 is called NOT gate. It is also known as inverter because the output is always the complement of input. It has only one input and only one output.

Y = A̅

Logic Symbol / Transistor Realization

A Y
Input AOutput Y = A̅
01
10

Universal Gate

1) NAND Gate

The combination of AND gate and NOT gate is called NAND gate. This gate is designed in such a way that the output of AND gate is connected to the input of NOT gate. It has two or more inputs but only one output. In this gate the output is low if all the inputs are high.

A B Y
Boolean expression of NAND gate: Y = A·B̅? / Y = \overline{A·B}
In the source, the intended Boolean expression is the complement of A·B, i.e. Y = (A·B)̅.
ABA·BY = (A·B)̅
0001
0101
1001
1110

Operation

  1. When both A and B are low, Y is high.
  2. When A is high and B is low, Y is high.
  3. When A is low and B is high, Y is high.
  4. When both A and B are high, Y is low.

NAND Gate as Universal Gate

NAND gate is universal gate. The repeated use of this gate can produce all the three basic gates i.e. OR, AND and NOT gate. This gate serve as a building block in digital circuits.

1) NOT Gate from NAND Gate

NOT gate can be made from NAND gate by connecting its two inputs together as shown in fig. The output is A̅ which can be proved to be equal to A̅ by using DeMorgan’s theorem. The truth table also verifies this fact.

Y = \overline{A·A} = A̅
AA·AY = (A·A)̅
001
110

2) AND Gate from NAND Gates

Two NAND gates are used to produce AND gate as shown in fig. The output of first NAND gate is A·B̅? [source notation] which is given to the second NAND gate acting as inverter.

The final output is inverted and is given by Y = A·B which is the logic function of AND gate. This fact is also verified by the truth table.

AB(A·B)̅Y = A·B
0010
1010
0110
1101

3) OR Gate from NAND Gates

Three NAND gates are used to produce OR gate as shown in fig. The first two NAND gates are acted as NOT gates and their outputs are fed to the third NAND gate. The final output is A+B which can be proved by using DeMorgan’s theorem.

Y = \overline{\bar A · \bar B} = A + B
ABY = A+B
00110
01101
10011
11001

2) NOR Gate

The combination of OR gate and NOT gate is called NOR gate. This gate is designed in such a way that the output of OR gate is connected to the input of NOT gate. It has two or more inputs but only one output. In this gate the output is high (1) when all inputs are low (0).

Y = \overline{A+B}
A B Y

Operation of NOR Gate

  1. When A and B both low, Y is high.
  2. When A is high and B is high, Y is low.
  3. When A is low and B is high, Y is low.
  4. When A and B both high, Y is low.
ABA+BY = \overline{A+B}
0001
1010
0110
1110

NOR Gate as Universal Gate

The repeated use of NOR can produce all three basic gates like OR, AND and NOT gate. Therefore NOR gate is also called universal gate. This gate acts as building block in digital circuits.

1) NOT Gate from NOR Gate

NOT gate can be produced from NOR gate by connecting its two inputs together as shown in fig. The output is A̅ which can be proved by using DeMorgan’s theorem. The truth table also verifies this fact.

Y = \overline{A+A} = A̅
AA+AY = \overline{A+A}
001
110

2) OR Gate from NOR Gates

Two NOR gates are used to make OR gate as shown in fig. The output of first NOR gate i.e. \overline{A+B} is given to the second NOR gate which acts as inverter. The final output is inverted and is given by Y = A+B which is the logic function of OR gate. This fact is also verified by truth table.

Y = \overline{\overline{A+B}} = A+B
AB\overline{A+B}Y = A+B
0010
0101
1001
1101

3) AND Gate from NOR Gates

Three NOR gates are used to make AND gate as shown in fig. The first two NOR gates are operated as NOT gates and their outputs are fed to the third NOR gate. The final output is Y = A·B which can be proved by DeMorgan’s theorem. The truth table also verifies this fact.

Y = \overline{\bar A + \bar B} = A·B
ABY = A·B
00110
10010
01100
11001

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