Laboratory Report: Investigation of Wire Resistance

Categories: Physics

Abstract

This laboratory report explores the relationship between the length of a wire and its electrical resistance. The resistance of a wire is a critical factor in electrical circuits, impacting the flow of current. The investigation involves measuring potential difference and current to analyze how the wire's length affects its resistance.

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The experiment reveals that as the length of the wire increases, its resistance also increases, demonstrating a proportional relationship. However, there is a need to further verify these findings with different types of wire and varying wire lengths to assess the reliability and extent of this relationship.

Introduction

Electrical circuits rely on the flow of electrons to function, and the resistance of components within a circuit can significantly influence this flow. Resistance is a property of materials that opposes the movement of electrons. It is quantified in ohms (Ω) and can be calculated using Ohm's law: Resistance (Ω) = Potential Difference (V) / Current (Amps, A).

In this investigation, we explore how the length of a wire affects its resistance. When electrons move through a wire, they collide with stationary particles in the wire, leading to an increase in temperature and altering the wire's resistance. Factors such as wire length, thickness, voltage (potential difference), and current play a crucial role in determining resistance.

Our primary goal is to determine if there is a direct relationship between wire length and resistance, which can help us better understand the behavior of electrical circuits and the impact of wire properties on their performance.

Materials and Methods

The following materials and equipment were used in the experiment:

  • Wire (Constantan)
  • Voltage source
  • Ammeter (to measure current)
  • Voltmeter (to measure potential difference)
  • Ruler or measuring tape

Experimental Procedure

The experiment was conducted as follows:

  1. Select a wire of constant thickness (diameter) and material (Constantan) for consistency.

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  2. Measure and cut the wire to different lengths (e.g., 10 cm, 20 cm, 30 cm, etc.).
  3. Set up a circuit with the wire as the resistor component, a voltage source, an ammeter to measure current, and a voltmeter to measure potential difference.
  4. Record the potential difference (V) and current (I) values for each wire length.
  5. Calculate the resistance (R) for each wire length using Ohm's law: R = V / I.
  6. Tabulate the data in a table, including wire length (cm), potential difference (V), current (A), and calculated resistance (Ω).
  7. Create a graph plotting wire length (independent variable) against resistance (dependent variable).

Results

The experimental results are summarized in the table below:

Wire Length (cm) Potential Difference (V) Current (A) Resistance (Ω)
10 1.2 0.6 2.0
20 2.0 0.5 4.0
30 2.8 0.4 7.0

Discussion

The experiment aimed to investigate how the length of a wire influences its resistance. The results indicate a clear correlation between wire length and resistance, with resistance increasing as the wire lengthens. This finding aligns with our initial hypothesis, as described in the introduction.

The increase in resistance with longer wire lengths can be explained by considering the interactions between electrons and stationary particles within the wire. When electrons move through the wire, they collide with the stationary metal ions, leading to resistance. In longer wires, there are more metal ions along the path of the electrons, increasing the likelihood of collisions and, consequently, raising resistance.

Our experiment provided a linear relationship between wire length and resistance, as depicted in the graph. However, there are some considerations to address regarding the reliability of these results. Firstly, the experiment utilized a single type of wire (Constantan), which may limit the generalizability of our findings. To enhance the reliability of the relationship between wire length and resistance, it would be beneficial to conduct similar experiments with different types of wire.

Another aspect to improve reliability is conducting more trials for each wire length. In this experiment, we performed three trials for each length, but increasing the number of trials, such as five or ten, would reduce the likelihood of anomalies and provide more robust data.

Furthermore, controlling the temperature during the experiment is essential. Temperature can influence the resistance of a wire, with higher temperatures resulting in higher resistance. To ensure the temperature remains constant, conducting the experiment in a thermostatically controlled room would be advantageous.

Conclusion

This laboratory investigation revealed a direct relationship between the length of a wire and its electrical resistance. As the wire length increased, the resistance also increased, demonstrating a proportional connection. This finding has practical implications for understanding and designing electrical circuits, where resistance plays a crucial role in controlling the flow of current.

However, it is important to note that the experiment's reliability could be further improved by conducting additional trials, using different types of wire, and maintaining a controlled temperature environment. These measures would provide a more comprehensive understanding of the relationship between wire properties and resistance.

Recommendations

Based on the findings and considerations of this experiment, the following recommendations are made for future investigations:

  1. Conduct experiments with various types of wire to assess the consistency of the relationship between wire length and resistance across materials.
  2. Increase the number of trials for each wire length to enhance data reliability and reduce the likelihood of anomalies.
  3. Perform experiments in a temperature-controlled environment to mitigate the influence of temperature on resistance measurements.
  4. Explore the impact of wire thickness on resistance to gain a more comprehensive understanding of wire properties.

By implementing these recommendations, future experiments can provide more robust and generalizable insights into the behavior of wires and their resistance in electrical circuits.

Updated: Dec 29, 2023
Cite this page

Laboratory Report: Investigation of Wire Resistance. (2018, Aug 23). Retrieved from https://studymoose.com/document/experiment-on-wire-and-resistance-correlation-in-a-circuit

Laboratory Report: Investigation of Wire Resistance essay
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