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Find the detector current id in the unbalanced Whetstone bridge shown in the figure below. You may assume that the voltage drop across the detector is negligible and may be ignored.

Find the detector current id in the unbalanced Whetstone bridge shown in the figure below. You may assume that the voltage drop across the detector is negligible and may be ignored.

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
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Find the detector current id in the unbalanced Whetstone bridge shown in the figure
below. You may assume that the voltage drop across the detector is negligible and may be
ignored.

**Transcription and Explanation of Wheatstone Bridge Circuit Diagram** This illustration depicts a Wheatstone bridge circuit, a fundamental electrical circuit used to measure unknown resistance values with high precision. It consists of four resistors connected in a diamond-shaped configuration and a galvanometer. **Components and Values:** 1. **Voltage Source:** - A 50 V power supply is connected to the circuit. 2. **Resistors:** - There are four resistors in the bridge: - Top resistor: 15 kΩ - Right resistor: 3 kΩ - Bottom resistor: 45 kΩ - Left resistor: 9 kΩ 3. **Galvanometer:** - A yellow circle symbolizes a galvanometer at the center of the bridge. It measures the current across the bridge. - The current \( i_d \) is indicated by a blue arrow pointing from left to right across the galvanometer. **Description:** - The Wheatstone bridge is configured with the 50 V power supply connected across the opposite corners of the diamond shape. - The arrangement of the resistors and galvanometer allows for the measurement of resistance with high accuracy. When the bridge is balanced, no current flows through the galvanometer, indicating that the ratio of resistances in one branch equals the ratio in the other branch. This circuit is crucial for electrical engineers and technicians working with precision measurement and calibration.
Transcribed Image Text:**Transcription and Explanation of Wheatstone Bridge Circuit Diagram** This illustration depicts a Wheatstone bridge circuit, a fundamental electrical circuit used to measure unknown resistance values with high precision. It consists of four resistors connected in a diamond-shaped configuration and a galvanometer. **Components and Values:** 1. **Voltage Source:** - A 50 V power supply is connected to the circuit. 2. **Resistors:** - There are four resistors in the bridge: - Top resistor: 15 kΩ - Right resistor: 3 kΩ - Bottom resistor: 45 kΩ - Left resistor: 9 kΩ 3. **Galvanometer:** - A yellow circle symbolizes a galvanometer at the center of the bridge. It measures the current across the bridge. - The current \( i_d \) is indicated by a blue arrow pointing from left to right across the galvanometer. **Description:** - The Wheatstone bridge is configured with the 50 V power supply connected across the opposite corners of the diamond shape. - The arrangement of the resistors and galvanometer allows for the measurement of resistance with high accuracy. When the bridge is balanced, no current flows through the galvanometer, indicating that the ratio of resistances in one branch equals the ratio in the other branch. This circuit is crucial for electrical engineers and technicians working with precision measurement and calibration.
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