Apply the Loop Rule to BCDHB.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Apply the Loop Rule to BCDHB.

In the provided diagram, we have a Wheatstone bridge configuration, which is commonly used to measure electrical resistance. The circuit consists of the following components:

- **Resistors:**
  - \( R_{AB} \): Resistor between points A and B
  - \( R_{BC} \): Resistor between points B and C
  - \( R_{CD} \): Resistor between points C and D
  - \( R_{AD} \): Resistor between points A and D
  - \( R_{G} \): Resistor between points B and D (across the galvanometer G)

- **Current Flow:**
  - \( I_1 \): Current flowing through \( R_{AB} \)
  - \( I_2 \): Current flowing through \( R_{AD} \)
  - \( I_3 \): Current flowing through \( R_{G} \) and the galvanometer G

- **Galvanometer (G):**
  - Connects points B and D
  - Measures the current \( I_3 \)

- **Battery:**
  - Denoted by \( V_o \), connected between points F and K, providing voltage to the circuit.

- **Circuit Points:**
  - Four junctions: A, B, C, D
  - Junction H is where the galvanometer is connected to the circuit.

The Wheatstone bridge is balanced when no current flows through the galvanometer, indicating that the ratio of the two pairs of resistances is equal. This property is often used to find an unknown resistor's value by adjusting the other resistors and noting the point of balance.
Transcribed Image Text:In the provided diagram, we have a Wheatstone bridge configuration, which is commonly used to measure electrical resistance. The circuit consists of the following components: - **Resistors:** - \( R_{AB} \): Resistor between points A and B - \( R_{BC} \): Resistor between points B and C - \( R_{CD} \): Resistor between points C and D - \( R_{AD} \): Resistor between points A and D - \( R_{G} \): Resistor between points B and D (across the galvanometer G) - **Current Flow:** - \( I_1 \): Current flowing through \( R_{AB} \) - \( I_2 \): Current flowing through \( R_{AD} \) - \( I_3 \): Current flowing through \( R_{G} \) and the galvanometer G - **Galvanometer (G):** - Connects points B and D - Measures the current \( I_3 \) - **Battery:** - Denoted by \( V_o \), connected between points F and K, providing voltage to the circuit. - **Circuit Points:** - Four junctions: A, B, C, D - Junction H is where the galvanometer is connected to the circuit. The Wheatstone bridge is balanced when no current flows through the galvanometer, indicating that the ratio of the two pairs of resistances is equal. This property is often used to find an unknown resistor's value by adjusting the other resistors and noting the point of balance.
Expert Solution
Step 1

The Kirchoff's voltage law or the loop rule states that the algebraic sum of all the voltage across a loop is equal to zero.

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