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In this problem, we will investigate how a resistive touchscreen with a defined thickness, width, and length can actually be modeled as a series combination of resistors. As we know the value of a resistor depends on its length. Figure 4 shows the top view of a resistive touchscreen consisting of a conductive layer with resistivity p,. thickness 1, width W, and length L. At the top and bottom it is connected through good conductors (p = 0) to the rest of the circuit. The touchscreen is wired to voltage source V,. Use the following numerical values in your calculations: W = 50 mm, L= 80 mm, 1= 1 mm, P =0.52m, V, = 5V, x = 20 mm, x = 45 mm, y = 30 mm, y2 = 60 mm.

In this problem, we will investigate how a resistive touchscreen with a defined thickness, width, and length can actually be modeled as a series combination of resistors. As we know the value of a resistor depends on its length. Figure 4 shows the top view of a resistive touchscreen consisting of a conductive layer with resistivity p,. thickness 1, width W, and length L. At the top and bottom it is connected through good conductors (p = 0) to the rest of the circuit. The touchscreen is wired to voltage source V,. Use the following numerical values in your calculations: W = 50 mm, L= 80 mm, 1= 1 mm, P =0.52m, V, = 5V, x = 20 mm, x = 45 mm, y = 30 mm, y2 = 60 mm.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Learning Goal:** The objective of this problem is to provide insight into modeling of resistive elements. This will also help to apply the concepts from resistive touchscreens. In this problem, we will investigate how a resistive touchscreen with a defined thickness, width, and length can actually be modeled as a series combination of resistors. As we know, the value of a resistor depends on its length. Figure 4 shows the top view of a resistive touchscreen consisting of a conductive layer with resistivity \( \rho_1 \), thickness \( t \), width \( W \), and length \( L \). At the top and bottom, it is connected through good conductors ( \( \rho = 0 \) ) to the rest of the circuit. The touchscreen is wired to voltage source \( V_t \). Use the following numerical values in your calculations: - \( W = 50 \, \text{mm} \) - \( L = 80 \, \text{mm} \) - \( t = 1 \, \text{mm} \) - \( \rho_1 = 0.5 \, \Omega \, \text{m} \) - \( V_t = 5 \, \text{V} \) - \( x_1 = 20 \, \text{mm} \) - \( x_2 = 45 \, \text{mm} \) - \( y_1 = 30 \, \text{mm} \) - \( y_2 = 60 \, \text{mm} \) The diagram displays a rectangle representing the touchscreen, with width \( W \) along the x-axis and length \( L \) along the y-axis. A voltage source \( V_t \) is connected across the width, with current \( I_t \) flowing into the system. **Task:** (a) Draw a circuit diagram representing Figure 4, where the touchscreen is represented as a resistor. Note that no touch is occurring in this scenario. Remember that circuit diagrams in general consist of only circuit elements (resistors, sources, etc) represented by symbols, connecting wires, and the reference/ground symbol. Calculate the value of current \( I_t \) based on the circuit diagram you drew. Do not forget to specify the correct unit as always. (b) Let us assume \( u_{12} \) is the node voltage at the node
Transcribed Image Text:**Learning Goal:** The objective of this problem is to provide insight into modeling of resistive elements. This will also help to apply the concepts from resistive touchscreens. In this problem, we will investigate how a resistive touchscreen with a defined thickness, width, and length can actually be modeled as a series combination of resistors. As we know, the value of a resistor depends on its length. Figure 4 shows the top view of a resistive touchscreen consisting of a conductive layer with resistivity \( \rho_1 \), thickness \( t \), width \( W \), and length \( L \). At the top and bottom, it is connected through good conductors ( \( \rho = 0 \) ) to the rest of the circuit. The touchscreen is wired to voltage source \( V_t \). Use the following numerical values in your calculations: - \( W = 50 \, \text{mm} \) - \( L = 80 \, \text{mm} \) - \( t = 1 \, \text{mm} \) - \( \rho_1 = 0.5 \, \Omega \, \text{m} \) - \( V_t = 5 \, \text{V} \) - \( x_1 = 20 \, \text{mm} \) - \( x_2 = 45 \, \text{mm} \) - \( y_1 = 30 \, \text{mm} \) - \( y_2 = 60 \, \text{mm} \) The diagram displays a rectangle representing the touchscreen, with width \( W \) along the x-axis and length \( L \) along the y-axis. A voltage source \( V_t \) is connected across the width, with current \( I_t \) flowing into the system. **Task:** (a) Draw a circuit diagram representing Figure 4, where the touchscreen is represented as a resistor. Note that no touch is occurring in this scenario. Remember that circuit diagrams in general consist of only circuit elements (resistors, sources, etc) represented by symbols, connecting wires, and the reference/ground symbol. Calculate the value of current \( I_t \) based on the circuit diagram you drew. Do not forget to specify the correct unit as always. (b) Let us assume \( u_{12} \) is the node voltage at the node
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