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In this experiment, you will be finding a voltage at which the anode current is maximum. To find the voltage accurately you select the peak area of the data and fit it with a function of a form ax²+bx+c (parabola) as shown in the figure 3. The better way to write a parabola would be y = a(x-xo)² + yo. 25 y = -2.7526x + 103.02x - 943.68 R2 =0.9774 20 5 10 15 20 25 Voltage (V) Figure 3: Determining voltage for maximum current Let's try to understand first how there two forms are related and determine the voltage value at which the maximum current occurs. Expand y =a(r-xo)² + yo and determine a (coefficient of x²) that а. involves a and/or xo and/or yo. b. Figure out b (should be a coefficient of x) that should involve a and/or xo and/or yo. с. Find an expression for x0 in terms of a and b. (Use the answers you got in a and b). d. Using the fitting equation on the graph find the value of xo. Current (A)

In this experiment, you will be finding a voltage at which the anode current is maximum. To find the voltage accurately you select the peak area of the data and fit it with a function of a form ax²+bx+c (parabola) as shown in the figure 3. The better way to write a parabola would be y = a(x-xo)² + yo. 25 y = -2.7526x + 103.02x - 943.68 R2 =0.9774 20 5 10 15 20 25 Voltage (V) Figure 3: Determining voltage for maximum current Let's try to understand first how there two forms are related and determine the voltage value at which the maximum current occurs. Expand y =a(r-xo)² + yo and determine a (coefficient of x²) that а. involves a and/or xo and/or yo. b. Figure out b (should be a coefficient of x) that should involve a and/or xo and/or yo. с. Find an expression for x0 in terms of a and b. (Use the answers you got in a and b). d. Using the fitting equation on the graph find the value of xo. Current (A)

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)...
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## Transcription for Educational Website ### Experiment Overview: **Objective:** Determine the voltage at which the anode current is maximum. In this experiment, you will identify the voltage where the anode current reaches its peak. To find this voltage accurately, select the peak area of the data and fit it with a parabolic function of the form \( ax^2+bx+c \), as shown in Figure 3. A better representation of a parabola is \( y = a(x-x_0)^2 + y_0 \). ### Figure 3: Determining Voltage for Maximum Current **Graph Analysis:** - **Axes:** The x-axis represents Voltage (V), while the y-axis represents Current (A). - **Data Points:** Blue dots indicate the experimental data points showing the relationship between voltage and current. - **Curve Fit:** A red dashed line illustrates the fitted parabolic curve with the equation \( y = -2.7526x^2 + 103.02x - 943.68 \). - **Coefficient of Determination (\( R^2 \)):** The fit quality is indicated by \( R^2 = 0.9774 \), which suggests a strong fit. ### Understanding the Parabolic Forms: The objective is to understand how these two parabolic forms relate and to determine the voltage at which the maximum current occurs: a. **Expand \( y = a(x-x_0)^2 + y_0 \):** - Determine \( a \) (the coefficient of \( x^2 \)) that involves \( a \) and/or \( x_0 \) and/or \( y_0 \). b. **Determine \( b \):** - \( b \) (coefficient of \( x \)) should involve \( a \) and/or \( x_0 \) and/or \( y_0 \). c. **Find Expression for \( x_0 \):** - Express \( x_0 \) in terms of \( a \) and \( b \) using answers from steps a and b. d. **Calculate \( x_0 \):** - Using the fitting equation on the graph, determine the value of \( x_0 \). This structured approach will enable you to accurately find the voltage at which the anode current is maximized.
Transcribed Image Text:## Transcription for Educational Website ### Experiment Overview: **Objective:** Determine the voltage at which the anode current is maximum. In this experiment, you will identify the voltage where the anode current reaches its peak. To find this voltage accurately, select the peak area of the data and fit it with a parabolic function of the form \( ax^2+bx+c \), as shown in Figure 3. A better representation of a parabola is \( y = a(x-x_0)^2 + y_0 \). ### Figure 3: Determining Voltage for Maximum Current **Graph Analysis:** - **Axes:** The x-axis represents Voltage (V), while the y-axis represents Current (A). - **Data Points:** Blue dots indicate the experimental data points showing the relationship between voltage and current. - **Curve Fit:** A red dashed line illustrates the fitted parabolic curve with the equation \( y = -2.7526x^2 + 103.02x - 943.68 \). - **Coefficient of Determination (\( R^2 \)):** The fit quality is indicated by \( R^2 = 0.9774 \), which suggests a strong fit. ### Understanding the Parabolic Forms: The objective is to understand how these two parabolic forms relate and to determine the voltage at which the maximum current occurs: a. **Expand \( y = a(x-x_0)^2 + y_0 \):** - Determine \( a \) (the coefficient of \( x^2 \)) that involves \( a \) and/or \( x_0 \) and/or \( y_0 \). b. **Determine \( b \):** - \( b \) (coefficient of \( x \)) should involve \( a \) and/or \( x_0 \) and/or \( y_0 \). c. **Find Expression for \( x_0 \):** - Express \( x_0 \) in terms of \( a \) and \( b \) using answers from steps a and b. d. **Calculate \( x_0 \):** - Using the fitting equation on the graph, determine the value of \( x_0 \). This structured approach will enable you to accurately find the voltage at which the anode current is maximized.
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Step 1 given values

parabola equation = Physics homework question answer, step 1, image 1;

another parabola = Physics homework question answer, step 1, image 2;

we have to find voltage value at which maximum current occurs.

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