The battery voltage is V = 66.1 V; and the resistances are R1 = 60 Ohms; R2 = 188 Ohms; R3 = 123 Ohms; R4 = 91 Ohms; R5 = 149 Ohms; and R6 = 154 Ohms. How much power flows through resistor R5?
The battery voltage is V = 66.1 V; and the resistances are R1 = 60 Ohms; R2 = 188 Ohms; R3 = 123 Ohms; R4 = 91 Ohms; R5 = 149 Ohms; and R6 = 154 Ohms. How much power flows through resistor R5?
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Chapter1: Units, Trigonometry. And Vectors
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4. The battery voltage is V = 66.1 V; and the resistances are R1 = 60 Ohms; R2 = 188 Ohms; R3 = 123 Ohms; R4 = 91 Ohms; R5 = 149 Ohms; and R6 = 154 Ohms. How much power flows through resistor R5?
|
0.120 W |
||
|
0.072 W |
||
|
0.180 W |
||
|
0.043 W |
![**Transcription and Explanation of the Circuit Diagram**
This circuit diagram illustrates a complex electrical circuit consisting of a voltage source and six resistors arranged in a combination of series and parallel configurations. Here’s a detailed description and analysis:
1. **Voltage Source (V):**
- The circuit begins with a voltage source labeled \( V \), which supplies the electrical potential needed to drive current around the circuit.
2. **Series and Parallel Resistors:**
- **Resistors \( R_1 \), \( R_2 \), and \( R_3 \):**
- These are the first three resistors encountered in the circuit. \( R_1 \) and \( R_2 \) are connected in series with the voltage source. \( R_3 \) is connected in parallel to the series combination of \( R_1 \) and \( R_2 \).
- **Resistors \( R_4 \), \( R_5 \), and \( R_6 \):**
- \( R_4 \) is connected sequentially after \( R_3 \). After \( R_4 \), there is a parallel arrangement where \( R_5 \) and \( R_6 \) are connected in parallel to each other.
3. **Analysis:**
- **Series Configuration:** When resistors are connected in series, the total resistance is the sum of the individual resistances. In this circuit, \( R_1 \) and \( R_2 \) contribute to the initial series resistance with the voltage source.
- **Parallel Configuration:** For resistors in parallel, the total resistance can be found using the formula:
\[
\frac{1}{R_{\text{total}}} = \frac{1}{R_5} + \frac{1}{R_6}
\]
- The presence of parallel and series combinations affects the overall impedance and current distribution within the circuit.
This circuit diagram is typically used to illustrate fundamental concepts in electrical engineering and physics, including the analysis of current flow through combined series and parallel resistor networks. Understanding how to calculate equivalent resistance in such configurations is crucial for circuit design and analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F928fc9f4-b22e-43a8-97be-4ba3df337b27%2F4920c10f-eadc-4457-9fb1-b3c8e9d48d87%2Fzxjxn38_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription and Explanation of the Circuit Diagram**
This circuit diagram illustrates a complex electrical circuit consisting of a voltage source and six resistors arranged in a combination of series and parallel configurations. Here’s a detailed description and analysis:
1. **Voltage Source (V):**
- The circuit begins with a voltage source labeled \( V \), which supplies the electrical potential needed to drive current around the circuit.
2. **Series and Parallel Resistors:**
- **Resistors \( R_1 \), \( R_2 \), and \( R_3 \):**
- These are the first three resistors encountered in the circuit. \( R_1 \) and \( R_2 \) are connected in series with the voltage source. \( R_3 \) is connected in parallel to the series combination of \( R_1 \) and \( R_2 \).
- **Resistors \( R_4 \), \( R_5 \), and \( R_6 \):**
- \( R_4 \) is connected sequentially after \( R_3 \). After \( R_4 \), there is a parallel arrangement where \( R_5 \) and \( R_6 \) are connected in parallel to each other.
3. **Analysis:**
- **Series Configuration:** When resistors are connected in series, the total resistance is the sum of the individual resistances. In this circuit, \( R_1 \) and \( R_2 \) contribute to the initial series resistance with the voltage source.
- **Parallel Configuration:** For resistors in parallel, the total resistance can be found using the formula:
\[
\frac{1}{R_{\text{total}}} = \frac{1}{R_5} + \frac{1}{R_6}
\]
- The presence of parallel and series combinations affects the overall impedance and current distribution within the circuit.
This circuit diagram is typically used to illustrate fundamental concepts in electrical engineering and physics, including the analysis of current flow through combined series and parallel resistor networks. Understanding how to calculate equivalent resistance in such configurations is crucial for circuit design and analysis.
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