With the aid of a circuit diagram, explain the functioning of a Bridge rectifier circuit.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the questions from the image you sent.

4) a) With the aid of a circuit diagram, explain the functioning of a Bridge rectifier circuit.

A bridge rectifier converts alternating current (AC) into pulsating direct current (DC). It uses four diodes arranged in a bridge configuration.

Circuit Diagram:
```
      AC Input
         |
         |
         ~
        / \
       /   \
      D1   D2
     /      \
    |        |
    |        |
    D4       D3
     \      /
      \    /
       \  /
        Load (R_L)
         |
         |
      DC Output
```
(Note: I cannot draw a perfect circuit diagram in text, but this represents the connections. Diodes D1 and D3 conduct during one half-cycle, and D2 and D4 conduct during the other. The load is connected between the junction of D1/D2 and D3/D4.)
Functioning:
- Positive Half-Cycle: When the upper terminal of the AC input is positive and the lower terminal is negative, diodes $D_1$ and $D_3$ are forward-biased and conduct. Current flows from the positive AC terminal, through $D_1$ , through the load resistor $R_L$ (from left to right), through $D_3$ , and back to the negative AC terminal.
- Negative Half-Cycle: When the upper terminal of the AC input is negative and the lower terminal is positive, diodes $D_2$ and $D_4$ are forward-biased and conduct. Current flows from the positive AC terminal (now the lower one), through $D_2$ , through the load resistor $R_L$ (still from left to right), through $D_4$ , and back to the negative AC terminal (now the upper one).
- In both half-cycles, the current flows through the load in the same direction, producing a pulsating DC output voltage across the load.

b) State one disadvantage of a bridge rectifier over a full wave rectifier.

One disadvantage is that a bridge rectifier requires four diodes, whereas a center-tapped full-wave rectifier requires only two diodes. This can lead to a slightly higher voltage drop across the conducting diodes (two diodes in series) and potentially higher cost or complexity in some applications.

c) Assuming a resistive load, draw the voltages across the supply and the load of a bridge rectifier.

Supply Voltage (AC Input):
$\text{V}_{\text{supply}}$
(This would be a sinusoidal waveform, symmetrical above and below the zero axis.)
Load Voltage (DC Output):
$\text{V}_{\text{load}}$
(This would be a pulsating DC waveform, where both positive and negative half-cycles of the input are converted into positive pulses, resulting in a waveform that is always above the zero axis, with ripples.)

d) What is the role of a capacitor usually connected across the load in a rectifier circuit?

The role of a capacitor connected across the load in a rectifier circuit is to filter the pulsating DC output. It smoothes the rectified voltage, reducing the ripple and providing a more stable DC output voltage. The capacitor charges during the peaks of the rectified voltage and discharges slowly through the load during the valleys, thereby filling in the gaps and making the output voltage closer to a pure DC.

5) a) Write in full the abbreviation BCD as used in machine language.

BCD stands for Binary Coded Decimal.

b) Convert the following binary numbers to base 10:

i) $01100111_2$

Write out the powers of 2 for each digit.
$0 \cdot 2^7 + 1 \cdot 2^6 + 1 \cdot 2^5 + 0 \cdot 2^4 + 0 \cdot 2^3 + 1 \cdot 2^2 + 1 \cdot 2^1 + 1 \cdot 2^0$
Calculate the values.
$0 \cdot 128 + 1 \cdot 64 + 1 \cdot 32 + 0 \cdot 16 + 0 \cdot 8 + 1 \cdot 4 + 1 \cdot 2 + 1 \cdot 1$ $0 + 64 + 32 + 0 + 0 + 4 + 2 + 1$
Sum the values.
$64 + 32 + 4 + 2 + 1 = \boxed{\text{103}_{10}}$
ii) $1001011_2$
Write out the powers of 2 for each digit.
$1 \cdot 2^6 + 0 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 0 \cdot 2^2 + 1 \cdot 2^1 + 1 \cdot 2^0$
Calculate the values.
$1 \cdot 64 + 0 \cdot 32 + 0 \cdot 16 + 1 \cdot 8 + 0 \cdot 4 + 1 \cdot 2 + 1 \cdot 1$ $64 + 0 + 0 + 8 + 0 + 2 + 1$
Sum the values.
$64 + 8 + 2 + 1 = \boxed{\text{75}_{10}}$
c) Convert the decimal number $80_{10}$ into binary.
Divide 80 by 2 and record the remainder.
$80 \div 2 = 40 \text{ R } 0$ $40 \div 2 = 20 \text{ R } 0$ $20 \div 2 = 10 \text{ R } 0$ $10 \div 2 = 5 \text{ R } 0$ $5 \div 2 = 2 \text{ R } 1$ $2 \div 2 = 1 \text{ R } 0$ $1 \div 2 = 0 \text{ R } 1$
Read the remainders from bottom to top.
$\boxed{\text{1010000}_2}$
d) Carryout the following conversions:

i) $324_5$ to base 10
Write out the powers of 5 for each digit.
$3 \cdot 5^2 + 2 \cdot 5^1 + 4 \cdot 5^0$
Calculate the values.
$3 \cdot 25 + 2 \cdot 5 + 4 \cdot 1$ $75 + 10 + 4$
Sum the values.
$75 + 10 + 4 = \boxed{\text{89}_{10}}$
ii) $432_6$ to base 10
Write out the powers of 6 for each digit.
$4 \cdot 6^2 + 3 \cdot 6^1 + 2 \cdot 6^0$
Calculate the values.
$4 \cdot 36 + 3 \cdot 6 + 2 \cdot 1$ $144 + 18 + 2$
Sum the values.
$144 + 18 + 2 = \boxed{\text{164}_{10}}$
iii) $432_3$ to base 10
Write out the powers of 3 for each digit.
$4 \cdot 3^2 + 3 \cdot 3^1 + 2 \cdot 3^0$
Calculate the values.
$4 \cdot 9 + 3 \cdot 3 + 2 \cdot 1$ $36 + 9 + 2$
Sum the values.
$36 + 9 + 2 = \boxed{\text{47}_{10}}$
6) a) Define a semiconductor.

A semiconductor is a material that has electrical conductivity between that of a conductor (like copper) and an insulator (like glass). Its conductivity can be controlled by doping with impurities or by applying electric fields or light.

b) Cite two examples of semiconductor materials.
- Silicon (Si)
- Germanium (Ge)
c) What is a diode?

A diode is a two-terminal electronic component that primarily conducts current in one direction (forward bias) and blocks current in the opposite direction (reverse bias). It acts like a one-way valve for electric current.

d) Draw the symbol of a junction diode, identify its terminals and give an area of application.
- Symbol:
  
  ----|>|----
  
  (The triangle points in the direction of conventional current flow when forward biased.)
- Terminals:
  
  The bar side is the cathode (negative terminal).
  
  The triangle side is the anode (positive terminal).
- Area of Application:
  
  Rectification: Converting AC to DC in power supplies.
  
  Clipping/Clamping: Shaping waveforms in signal processing.
  
  Switching: Used as a switch in electronic circuits.
e) Draw the symbols of each of the following electronic components:

i) Light emitting diode (LED)
----|>|---- ^ ^ | | (light arrows pointing outwards)
ii) Photodiode
----|>|---- v v | | (light arrows pointing inwards)
iii) Phototransistor
Collector | | / \ / \ | | | | \ / \ / \ / | | Emitter v v | | (light arrows pointing inwards, pointing at the base region)
(Note: This is a simplified representation. A phototransistor symbol is typically a BJT symbol enclosed in a circle with incoming light arrows, and often without a base lead shown explicitly.)

iv) Zener diode
----|>|-Z----
(The cathode bar has small perpendicular lines at its ends, resembling a 'Z' shape.)

v) Bipolar Junction transistor (BJT)
- NPN Transistor:
  Collector | | / / \ / \ | | | |---- Base \ / \ / | | Emitter (arrow pointing outwards)
- PNP Transistor:
  Collector | | \ / \ / \ | | | |---- Base \ / \ / | | Emitter (arrow pointing inwards)
(Note: These are simplified text representations. The actual symbols have specific shapes for the base, collector, and emitter, with the emitter having an arrow indicating current direction.)

With the aid of a circuit diagram, explain the functioning of a Bridge rectifier circuit.

Step-by-step solution

Write out the powers of 2 for each digit.

Calculate the values.

Sum the values.

Write out the powers of 2 for each digit.

Calculate the values.

Sum the values.

Divide 80 by 2 and record the remainder.

Read the remainders from bottom to top.

Write out the powers of 5 for each digit.

Calculate the values.

Sum the values.

Write out the powers of 6 for each digit.

Calculate the values.

Sum the values.

Write out the powers of 3 for each digit.

Calculate the values.

Sum the values.

Still stuck on this one?

More Computer Science Questions