Homework Help is Here – Start Your Trial Now!
Science
Physics
The graph of voltage (independent variable) vs current (dependent variable) should have voltage on the x-axis and current on the y-axis. The experimenter controls voltage and then measures current. You should use the best fit linear regression to find the best straight line fit for your data points. The slope will be delta amps/delta volts. If you rearrange Ohm's Law you will discover this slope is equal to 1/R. The independent direct measurement of the value of the resistor used will allow you to calculate a % error, which is a comparison of the value for R determined by the slope of your graph vs the direct measurement of resistance. % error = (direct measurement of R - slope R/ direct measurement of R) x 100 The video does not include the direct measurement of resistance, so use the value of 10.0 ohms as the direct measurement value (or accepted value).

The graph of voltage (independent variable) vs current (dependent variable) should have voltage on the x-axis and current on the y-axis. The experimenter controls voltage and then measures current. You should use the best fit linear regression to find the best straight line fit for your data points. The slope will be delta amps/delta volts. If you rearrange Ohm's Law you will discover this slope is equal to 1/R. The independent direct measurement of the value of the resistor used will allow you to calculate a % error, which is a comparison of the value for R determined by the slope of your graph vs the direct measurement of resistance. % error = (direct measurement of R - slope R/ direct measurement of R) x 100 The video does not include the direct measurement of resistance, so use the value of 10.0 ohms as the direct measurement value (or accepted value).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question
100%

The first image is the data that I collected and the second image is what I need help with doing 

### Analyzing Voltage vs. Current to Determine Resistance **Objective:** Understand the relationship between voltage (independent variable) and current (dependent variable) and use it to determine resistance. **Overview:** In this experiment, voltage should be placed on the x-axis and current on the y-axis in your graph. The experiment involves varying the voltage and measuring the corresponding current. This allows us to examine their relationship. **Procedure:** 1. **Plotting the Data:** - Collect the data by controlling the voltage and measuring the current. - Plot the voltage (x-axis) against current (y-axis). 2. **Linear Regression:** - Use the best fit linear regression to find the best straight line that represents your data points. - The slope of this line (Δ current / Δ voltage) is crucial. 3. **Interpreting the Slope:** - Rearrange Ohm’s Law (V = IR) to relate to the slope. The slope of the line will be Δ current / Δ voltage, which corresponds to 1/R. **Calculating % Error:** To determine the accuracy of your experimental resistance value against a known value: \[ \% \text{ error} = \left( \frac{\text{direct measurement of } R - \text{slope } R}{\text{direct measurement of } R} \right) \times 100 \] *Note:* Since the video does not provide a direct measurement of resistance, use 10.0 ohms as the accepted value. This exercise not only helps in visualizing Ohm’s Law but also emphasizes the importance of linear regression in determining physical constants accurately. **Explanation of Graphs/Diagrams:** - **Graph of Voltage vs. Current:** A graph is plotted with voltage on the x-axis and current on the y-axis. Points are plotted based on experimental data, and a line of best fit is drawn to represent the relationship between the two variables. By understanding and applying these concepts, one can accurately determine the resistance of a resistor and evaluate the precision of their measurements through percentage error calculations. This practical application reinforces theoretical concepts and enhances analytical skills in experimental physics.
Transcribed Image Text:### Analyzing Voltage vs. Current to Determine Resistance **Objective:** Understand the relationship between voltage (independent variable) and current (dependent variable) and use it to determine resistance. **Overview:** In this experiment, voltage should be placed on the x-axis and current on the y-axis in your graph. The experiment involves varying the voltage and measuring the corresponding current. This allows us to examine their relationship. **Procedure:** 1. **Plotting the Data:** - Collect the data by controlling the voltage and measuring the current. - Plot the voltage (x-axis) against current (y-axis). 2. **Linear Regression:** - Use the best fit linear regression to find the best straight line that represents your data points. - The slope of this line (Δ current / Δ voltage) is crucial. 3. **Interpreting the Slope:** - Rearrange Ohm’s Law (V = IR) to relate to the slope. The slope of the line will be Δ current / Δ voltage, which corresponds to 1/R. **Calculating % Error:** To determine the accuracy of your experimental resistance value against a known value: \[ \% \text{ error} = \left( \frac{\text{direct measurement of } R - \text{slope } R}{\text{direct measurement of } R} \right) \times 100 \] *Note:* Since the video does not provide a direct measurement of resistance, use 10.0 ohms as the accepted value. This exercise not only helps in visualizing Ohm’s Law but also emphasizes the importance of linear regression in determining physical constants accurately. **Explanation of Graphs/Diagrams:** - **Graph of Voltage vs. Current:** A graph is plotted with voltage on the x-axis and current on the y-axis. Points are plotted based on experimental data, and a line of best fit is drawn to represent the relationship between the two variables. By understanding and applying these concepts, one can accurately determine the resistance of a resistor and evaluate the precision of their measurements through percentage error calculations. This practical application reinforces theoretical concepts and enhances analytical skills in experimental physics.
### Voltage and Current Relationship Data The following table displays measured values of voltage (V) and current (A) for an electrical component. This data can be used to understand the relationship between the voltage applied to the component and the resulting current through the component. | Voltage (V) | Current (A) | |-------------|-------------| | 2.0 | 0.20 | | 3.5 | 0.34 | | 5.5 | 0.50 | | 7.5 | 0.70 | | 9.0 | 0.88 | | 11.0 | 1.10 | ### Explanation This table shows a direct comparison between the applied voltage (measured in volts) and the resulting current (measured in amperes) through a component. As voltage increases, the current also increases, indicating a direct proportionality between voltage and current for this component. This kind of analysis is fundamental in understanding Ohm's Law, which states that \( V = IR \) where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance of the component.
Transcribed Image Text:### Voltage and Current Relationship Data The following table displays measured values of voltage (V) and current (A) for an electrical component. This data can be used to understand the relationship between the voltage applied to the component and the resulting current through the component. | Voltage (V) | Current (A) | |-------------|-------------| | 2.0 | 0.20 | | 3.5 | 0.34 | | 5.5 | 0.50 | | 7.5 | 0.70 | | 9.0 | 0.88 | | 11.0 | 1.10 | ### Explanation This table shows a direct comparison between the applied voltage (measured in volts) and the resulting current (measured in amperes) through a component. As voltage increases, the current also increases, indicating a direct proportionality between voltage and current for this component. This kind of analysis is fundamental in understanding Ohm's Law, which states that \( V = IR \) where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance of the component.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Resistance of non ohmic conductors
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS