Electrical Circuit Assembly Worksheet

Electrical Circuit Assembly Worksheet

Objective

To assemble the components of a given electrical circuit and understand the principles of circuit design, component connection, and electrical measurements.

Materials Required

  • Breadboard 1
  • Resistors (various values: 220Ω, 1kΩ, 10kΩ) 3 each
  • Capacitors (various values: 0.1μF, 1μF, 10μF) 2 each
  • LED (various colors) 5
  • Transistors (NPN, PNP) 2 each
  • Battery or power supply (9V) 1
  • Connecting wires As required
  • Multimeter 1
  • Switch (SPST) 1
  • Potentiometer (10kΩ) 1

Circuit Theory

Ohm's Law

The relationship between voltage (V), current (I), and resistance (R) is given by:

$$V = I \times R$$

Where:

  • V = Voltage in Volts (V)
  • I = Current in Amperes (A)
  • R = Resistance in Ohms (Ω)

Power Calculation

The electrical power (P) consumed in a circuit is:

$$P = V \times I = I^2 \times R = \frac{V^2}{R}$$

Where P is measured in Watts (W)

Series and Parallel Resistances

For resistors in series:

$$R_{total} = R_1 + R_2 + R_3 + ... + R_n$$

For resistors in parallel:

$$\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... + \frac{1}{R_n}$$

Circuit Diagram

LED Circuit with Current-Limiting Resistor

Circuit Diagram showing LED with current limiting resistor

Fig 1. Basic LED circuit with current-limiting resistor and power source

Assembly Procedure

1

Verify Components

Identify and verify all the components required for the circuit assembly. Check resistor values using the color code.

Resistor Color Code

The color bands on resistors represent specific values:

  • Black: 0
  • Brown: 1
  • Red: 2
  • Orange: 3
  • Yellow: 4
  • Green: 5
  • Blue: 6
  • Violet: 7
  • Grey: 8
  • White: 9

For a 4-band resistor:

  • First band: First digit
  • Second band: Second digit
  • Third band: Multiplier (10^n)
  • Fourth band: Tolerance

Formula: Value = (First digit × 10 + Second digit) × 10^Multiplier ± Tolerance%

Example: Red-Violet-Orange-Gold = 27 × 10^3 Ω ± 5% = 27kΩ ± 5%

2

Set Up the Breadboard

Understand the internal connections of the breadboard before placing components.

Breadboard Internal Connections

A standard breadboard has the following connections:

  • Power rails (marked + and -) run horizontally along the top and bottom
  • Terminal strips run vertically and are separated by a central channel
  • Each 5-hole terminal strip is connected internally
  • The central channel separates the board into two electrically isolated sections
Breadboard internal connections diagram
3

Calculate the Current-Limiting Resistor Value

For the LED circuit, calculate the appropriate resistor value to ensure safe operation.

LED Current-Limiting Resistor Calculation

To calculate the resistor value needed to limit current through an LED:

$$R = \frac{V_{supply} - V_{forward}}{I_{desired}}$$

Where:

  • $V_{supply}$ = Supply voltage (e.g., 9V)
  • $V_{forward}$ = LED forward voltage (typically 1.8V-3.3V depending on color)
  • $I_{desired}$ = Desired LED current (typically 15-20mA for standard LEDs)

Example calculation for red LED with 9V supply:

  • $V_{supply} = 9V$
  • $V_{forward} = 2V$ (typical for red LED)
  • $I_{desired} = 20mA = 0.02A$
$$R = \frac{9V - 2V}{0.02A} = \frac{7V}{0.02A} = 350\Omega$$

Use a standard 330Ω or 470Ω resistor for safety.

4

Connect the Power Supply

Connect the 9V battery or power supply to the breadboard power rails, ensuring correct polarity.

Safety Tip: Always double-check polarity before applying power. Connect the positive terminal to the red rail and the negative terminal to the blue rail.
5

Place the Current-Limiting Resistor

Place the calculated resistor value onto the breadboard.

6

Connect the LED

Place the LED on the breadboard, ensuring correct orientation (the longer lead is the anode/positive terminal).

LED Polarity Identification

LEDs are polarized components and must be connected correctly:

  • Anode (positive): Longer lead
  • Cathode (negative): Shorter lead
  • The cathode side often has a flat edge on the LED casing

Incorrect polarity will prevent the LED from illuminating and may damage it under certain conditions.

7

Add the Switch

Connect the SPST switch to control the circuit.

8

Complete Circuit Connections

Use connecting wires to complete the circuit according to the diagram.

Testing and Measurements

Measurement Point Expected Value Measured Value Notes
Voltage across power supply 9V
Voltage across LED ~2V (red LED)
Voltage across resistor ~7V
Current through circuit ~20mA
Power dissipated by resistor P = V × I = 7V × 0.02A = 0.14W

Voltage Division Principle

In a series circuit, voltage divides according to resistance values:

$$V_{component} = V_{total} \times \frac{R_{component}}{R_{total}}$$

This explains why we see voltage drops across different components in the circuit.

Circuit Variations

Parallel LED Configuration

Connect multiple LEDs in parallel, each with its own current-limiting resistor.

In a parallel LED configuration:

  • Each LED must have its own current-limiting resistor
  • The total current drawn is the sum of all individual LED currents
  • If one LED fails, others continue to operate
$$I_{total} = I_{LED1} + I_{LED2} + I_{LED3} + ... + I_{LEDn}$$
Parallel LED circuit configuration

Variable Brightness Control

Add a potentiometer to control LED brightness.

A potentiometer can be used as a variable resistor to control current flow:

  • Connect the potentiometer in series with the LED
  • As resistance increases, current decreases, dimming the LED
  • As resistance decreases, current increases, brightening the LED
$$I_{LED} = \frac{V_{supply} - V_{forward}}{R_{fixed} + R_{variable}}$$

Where $R_{variable}$ is the resistance value of the potentiometer setting.

Troubleshooting Guide

Problem Possible Cause Solution
LED doesn't light up Incorrect LED polarity Reverse the LED orientation
LED doesn't light up Loose connections Check and secure all connections
LED doesn't light up Power supply not connected Verify power supply connections
LED too dim Resistor value too high Replace with lower value resistor
LED burns out quickly Resistor value too low Replace with higher value resistor

Assessment Questions

  1. Why is a current-limiting resistor necessary when connecting an LED to a power source?
  2. Calculate the appropriate resistor value for a blue LED (forward voltage 3.3V) connected to a 12V power supply with desired current of 15mA.
  3. Explain why the voltage across the LED remains relatively constant regardless of the supply voltage.
  4. If three identical LEDs are connected in parallel, each with its own identical resistor, how does the total current compare to a single LED circuit?
  5. What would happen if you reversed the polarity of the power supply in this circuit?
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