Objective
Understand the relationship between voltage, current, and power dissipation in a load resistor by analyzing how different resistors dissipate power in a simple circuit.
Materials Needed
- DC Power supply
- Resistors of different values (e.g., 100Ω, 220Ω, 470Ω, 1kΩ)
- Multimeter
- Breadboard and connecting wires
- Ammeter (optional)
- Calculator (for power calculations)
Theory
Power dissipation in resistors is an important concept in electronics, especially when designing circuits with components that must handle specific power levels. Power (P) dissipated by a resistor is related to the voltage (V) across it and the current (I) flowing through it, as given by:
P = V × I = I2 × R = V2 / R
In this experiment, you will measure how resistors with different values dissipate power when a constant voltage is applied across them. By measuring the current through each resistor and calculating the power dissipation, you can confirm the theoretical relationship.
Steps
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Set Up the Circuit
Place a resistor on the breadboard. Connect the positive terminal of the power supply to one end of the resistor and the negative terminal to the other end. Set the voltage on the power supply to a constant value (e.g., 5V or 12V).
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Measure Voltage
Use a multimeter to measure the voltage across the resistor to ensure that the power supply is providing a steady voltage.
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Measure Current
Use the ammeter (or multimeter in current mode) to measure the current flowing through the resistor. Record the current for each resistor used in the experiment.
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Calculate Power Dissipation
For each resistor, calculate the power dissipation using the measured current and the voltage applied across the resistor. Use the formula P = V × I.
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Repeat for Different Resistors
Replace the resistor with others of different values (e.g., 220Ω, 470Ω, 1kΩ) and repeat the measurements. Compare the power dissipation for each resistor.
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Analyze Results
Plot the power dissipation as a function of resistor value. Notice how lower resistances lead to higher power dissipation, assuming a constant voltage supply. This shows the inverse relationship between resistance and power for a given voltage.
Example Calculation
For a resistor of 220Ω and a supply voltage of 12V, the power dissipation can be calculated as follows:
- Measured current: I = 12V / 220Ω = 0.0545A
- Power dissipation: P = 12V × 0.0545A = 0.654W
This value should match the power dissipation measured with the multimeter.
Conclusion
In this experiment, you demonstrated that the power dissipated by a resistor depends on both the voltage applied across it and its resistance. Lower resistance values result in greater power dissipation when voltage is kept constant. This experiment emphasizes the need for careful resistor selection in circuit design, especially when dealing with power-sensitive components.