Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Considering the Wheatstone Bridge from Figure 3, what is the maximum value of R3 that this network is able to measure? Hint: Consider the maximum range that the potentiometer can be set to, and use the Before the Lab equations to calculate.

 

R3 Max =

 

 

 

Please answer in typing format please ASAP for

 

**Figure 3: Wheatstone Bridge Circuit**

This diagram illustrates a Wheatstone Bridge circuit, commonly used in electrical measurements to precisely measure an unknown resistance. The circuit consists of four resistors arranged in a diamond shape, with a power supply and a Digital Multimeter (DMM) connected across the bridge. 

- **Power Supply:** A 10 V source is connected between points a and b.
  
- **Resistors:**
  - \( R_1 = 220 \, \Omega \) connected between points a and d.
  - \( R_2 = 330 \, \Omega \) connected between points a and c.
  - \( R_3 = 110 \, \Omega \) connected between points d and b.
  - \( R_x = 0 - 1 \, \text{k}\Omega \) (variable resistor) connected between points c and b.
  
- **Current Flow:**
  - \( I_1 \) flows through \( R_1 \).
  - \( I_2 \) flows through \( R_2 \).
  - \( I_3 \) flows through \( R_3 \).
  - \( I_4 \) flows through \( R_x \).

- **Digital Multimeter (DMM):** The voltmeter is used to measure the voltage between points c and d.

The objective in this setup is to adjust \( R_x \) until the DMM reads zero volts, indicating that the bridge is balanced and the ratio of the two known resistors equals the ratio of the unknown resistor to the fourth resistor. This allows the calculation of the unknown resistance precisely.
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Transcribed Image Text:**Figure 3: Wheatstone Bridge Circuit** This diagram illustrates a Wheatstone Bridge circuit, commonly used in electrical measurements to precisely measure an unknown resistance. The circuit consists of four resistors arranged in a diamond shape, with a power supply and a Digital Multimeter (DMM) connected across the bridge. - **Power Supply:** A 10 V source is connected between points a and b. - **Resistors:** - \( R_1 = 220 \, \Omega \) connected between points a and d. - \( R_2 = 330 \, \Omega \) connected between points a and c. - \( R_3 = 110 \, \Omega \) connected between points d and b. - \( R_x = 0 - 1 \, \text{k}\Omega \) (variable resistor) connected between points c and b. - **Current Flow:** - \( I_1 \) flows through \( R_1 \). - \( I_2 \) flows through \( R_2 \). - \( I_3 \) flows through \( R_3 \). - \( I_4 \) flows through \( R_x \). - **Digital Multimeter (DMM):** The voltmeter is used to measure the voltage between points c and d. The objective in this setup is to adjust \( R_x \) until the DMM reads zero volts, indicating that the bridge is balanced and the ratio of the two known resistors equals the ratio of the unknown resistor to the fourth resistor. This allows the calculation of the unknown resistance precisely.
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