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All of the first five questions on this quiz deal with the circuit illustrated in the accompanying diagram. The battery voltage is 80.6 V, and the resistances are R1 = 123 Ohms; R2 = 114 Ohms; R3 = 139 Ohms; R4 = 159 Ohms; R5 = 56 Ohms; and R6 = 199 Ohms. What is the equivalent resistance of this circuit?     608 Ohms     325 Ohms     425 Ohms     170 Ohms rejected

All of the first five questions on this quiz deal with the circuit illustrated in the accompanying diagram. The battery voltage is 80.6 V, and the resistances are R1 = 123 Ohms; R2 = 114 Ohms; R3 = 139 Ohms; R4 = 159 Ohms; R5 = 56 Ohms; and R6 = 199 Ohms. What is the equivalent resistance of this circuit?     608 Ohms     325 Ohms     425 Ohms     170 Ohms rejected

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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  1. All of the first five questions on this quiz deal with the circuit illustrated in the accompanying diagram. The battery voltage is 80.6 V, and the resistances are R1 = 123 Ohms; R2 = 114 Ohms; R3 = 139 Ohms; R4 = 159 Ohms; R5 = 56 Ohms; and R6 = 199 Ohms. What is the equivalent resistance of this circuit?
   

608 Ohms
   

325 Ohms
   

425 Ohms
   

170 Ohms

rejected
**Series-Parallel Resistor Circuit Diagram Explanation** The diagram illustrates a complex electrical circuit composed of resistors connected in both series and parallel configurations. This setup is common in electrical engineering and physics studies for analyzing circuits. **Components:** 1. **Voltage Source (V):** Represents the power supply that provides the necessary voltage to drive current through the circuit. 2. **Resistors:** - **R1 and R2:** These resistors are connected in series with the voltage source. In a series connection, the current passing through each resistor is the same, and the total resistance is the sum of the individual resistances. - **R3:** This resistor is connected in parallel with the combination of R4, R5, and R6. - **R4 and R5:** These resistors are connected in parallel with each other. In a parallel connection, the voltage across each resistor is the same, and the total resistance can be calculated using the formula for parallel resistors. - **R6:** This resistor is in series with the parallel combination of R4 and R5. **Analysis:** - **Series Connection:** The total resistance is given by \( R_{\text{total, series}} = R_1 + R_2 \). - **Parallel Connection:** The equivalent resistance of R4 and R5 is given by \( \frac{1}{R_{\text{total, parallel}}} = \frac{1}{R_4} + \frac{1}{R_5} \). - **Combined Resistance:** To find the total resistance of R4, R5, and R6, add \( R_{\text{total, parallel}} \) and \( R_6 \) since they are in series: \( R_{\text{combined}} = R_{\text{total, parallel}} + R_6 \). - **Overall Resistance:** The total circuit resistance, seen by the voltage source, is calculated by combining R3 with the series combination of R4, R5, and R6, then adding the series resistances R1 and R2. This circuit can be analyzed using Ohm’s Law and Kirchhoff's Laws to determine current distribution, voltage drops, and the equivalent resistance, allowing for a comprehensive understanding of electrical networks.
Transcribed Image Text:**Series-Parallel Resistor Circuit Diagram Explanation** The diagram illustrates a complex electrical circuit composed of resistors connected in both series and parallel configurations. This setup is common in electrical engineering and physics studies for analyzing circuits. **Components:** 1. **Voltage Source (V):** Represents the power supply that provides the necessary voltage to drive current through the circuit. 2. **Resistors:** - **R1 and R2:** These resistors are connected in series with the voltage source. In a series connection, the current passing through each resistor is the same, and the total resistance is the sum of the individual resistances. - **R3:** This resistor is connected in parallel with the combination of R4, R5, and R6. - **R4 and R5:** These resistors are connected in parallel with each other. In a parallel connection, the voltage across each resistor is the same, and the total resistance can be calculated using the formula for parallel resistors. - **R6:** This resistor is in series with the parallel combination of R4 and R5. **Analysis:** - **Series Connection:** The total resistance is given by \( R_{\text{total, series}} = R_1 + R_2 \). - **Parallel Connection:** The equivalent resistance of R4 and R5 is given by \( \frac{1}{R_{\text{total, parallel}}} = \frac{1}{R_4} + \frac{1}{R_5} \). - **Combined Resistance:** To find the total resistance of R4, R5, and R6, add \( R_{\text{total, parallel}} \) and \( R_6 \) since they are in series: \( R_{\text{combined}} = R_{\text{total, parallel}} + R_6 \). - **Overall Resistance:** The total circuit resistance, seen by the voltage source, is calculated by combining R3 with the series combination of R4, R5, and R6, then adding the series resistances R1 and R2. This circuit can be analyzed using Ohm’s Law and Kirchhoff's Laws to determine current distribution, voltage drops, and the equivalent resistance, allowing for a comprehensive understanding of electrical networks.
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