Refer to the figure below to answer the following questions. a) Determine the total resistance. b). Determine the current through the 25 ohm resistor. c). Which resistor is the hottest (Hint, most current flow)?
Refer to the figure below to answer the following questions. a) Determine the total resistance. b). Determine the current through the 25 ohm resistor. c). Which resistor is the hottest (Hint, most current flow)?
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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Refer to the figure below to answer the following questions. a) Determine the total resistance. b). Determine the current through the 25 ohm resistor. c). Which resistor is the hottest (Hint, most current flow)? d). Which resistor is the Coolest ?
Transcribed Image Text:This image depicts an electrical circuit with a combination of resistors connected to a 25V power supply. The circuit includes the following components and configurations:
### Description of the Circuit
1. **Power Supply:**
- A 25V battery is connected to the circuit.
2. **Resistors:**
- **25.0 Ω Resistor:** Placed in series with the 30.0 Ω resistor.
- **30.0 Ω Resistor:** Connected in series with the 25.0 Ω resistor.
- **10.0 Ω Resistor:** Connected in parallel with both the 20.0 Ω and 40.0 Ω resistors.
- **20.0 Ω Resistor:** Connected in parallel between the connection point of the 30.0 Ω resistor and the 40.0 Ω resistor.
- **40.0 Ω Resistor:** Connected in parallel with both the 10.0 Ω and 20.0 Ω resistors.
### Circuit Configuration
- The 25.0 Ω and 30.0 Ω resistors are in series, forming one branch of the circuit.
- The 10.0 Ω, 20.0 Ω, and 40.0 Ω resistors are in parallel, forming another branch in the circuit.
Understanding series and parallel resistor configurations is essential in calculating the total resistance and analyzing the voltage and current distribution in the circuit. In this circuit:
- **Series Resistors:** The total resistance is the sum of the individual resistances.
- **Parallel Resistors:** The reciprocal of the total resistance is the sum of the reciprocals of the individual resistances.
### Graphical Explanation:
- The diagram clearly shows the series connection of the first two resistors (25.0 Ω and 30.0 Ω) in one branch.
- The parallel connection of the next three resistors (10.0 Ω, 20.0 Ω, and 40.0 Ω) illustrates multiple paths for current to flow once it reaches the parallel network.
### Educational Insight:
Understanding this circuit is crucial for students learning about electrical engineering and physics, particularly in the study of Ohm's Law and resistive networks. This knowledge aids in designing and analyzing more complex circuits in practical applications.
When calculating the total resistance and analyzing the current distribution, students will apply fundamental principles of series and parallel circuits, enhancing their problem-solving skills in electrical circuit analysis.
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