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The battery voltage is V = 80.6 V. The resistances are R1 = 123 Ohms; R2 = 114 Ohms; R3 = 139 Ohms; R4 = 159 Ohms; R5 = 56 Ohms; and R6 = 199 Ohms. How much power flows through resistor R6?

The battery voltage is V = 80.6 V. The resistances are R1 = 123 Ohms; R2 = 114 Ohms; R3 = 139 Ohms; R4 = 159 Ohms; R5 = 56 Ohms; and R6 = 199 Ohms. How much power flows through resistor R6?

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The battery voltage is V = 80.6 V. The resistances are R1 = 123 Ohms; R2 = 114 Ohms; R3 = 139 Ohms; R4 = 159 Ohms; R5 = 56 Ohms; and R6 = 199 Ohms. How much power flows through resistor R6?
   
0.657 W
   
1.642 W
   
1.314 W
   
2.463 W
The image shows an electrical circuit composed of a battery and resistors arranged in a combination of series and parallel connections. Here's a detailed breakdown: - **Voltage Source (V):** The circuit starts with a voltage source (denoted as V) which provides the electrical energy to drive current through the circuit. - **Resistors in Series:** - **R1** and **R2**: These two resistors are connected in series with the voltage source. The current that flows through R1 will also flow through R2, as there's only one path available. - **Parallel Connection:** - After R2, the circuit splits into two parallel branches: - **R3** is in one branch by itself. - The other branch contains three resistors: **R4**, **R5**, and **R6**. - **R4** is in series with the combined parallel configuration of **R5** and **R6**. R5 and R6 are connected in parallel with each other. - **Combination Analysis:** - To analyze this circuit, you would first calculate the equivalent resistance of the parallel combination of R5 and R6. Then, this equivalent resistance is added in series with R4. - The total effective resistance of this series combination can then be calculated in parallel with R3. - Finally, the resulting equivalent resistance from these calculations will be in series with R1 and R2 for calculating total circuit resistance. This circuit diagram provides a practical example of how series and parallel resistor networks can be combined, which is an essential concept in circuit analysis for understanding current distribution and voltage drops across components.
Transcribed Image Text:The image shows an electrical circuit composed of a battery and resistors arranged in a combination of series and parallel connections. Here's a detailed breakdown: - **Voltage Source (V):** The circuit starts with a voltage source (denoted as V) which provides the electrical energy to drive current through the circuit. - **Resistors in Series:** - **R1** and **R2**: These two resistors are connected in series with the voltage source. The current that flows through R1 will also flow through R2, as there's only one path available. - **Parallel Connection:** - After R2, the circuit splits into two parallel branches: - **R3** is in one branch by itself. - The other branch contains three resistors: **R4**, **R5**, and **R6**. - **R4** is in series with the combined parallel configuration of **R5** and **R6**. R5 and R6 are connected in parallel with each other. - **Combination Analysis:** - To analyze this circuit, you would first calculate the equivalent resistance of the parallel combination of R5 and R6. Then, this equivalent resistance is added in series with R4. - The total effective resistance of this series combination can then be calculated in parallel with R3. - Finally, the resulting equivalent resistance from these calculations will be in series with R1 and R2 for calculating total circuit resistance. This circuit diagram provides a practical example of how series and parallel resistor networks can be combined, which is an essential concept in circuit analysis for understanding current distribution and voltage drops across components.
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