a) if R1 increases, what happens to the current through R5? b) if R7 decreases what happens to the voltage across R9? c) if R4 shorts, what happens to the voltage across R2 and R8?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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a) if R1 increases, what happens to the current through R5?

b) if R7 decreases what happens to the voltage across R9?

c) if R4 shorts, what happens to the voltage across R2 and R8?

d) what is the total resistance knowing all resistors are 10 kiloohms?

e) if the applied voltage is 278.5 V, what is the voltage drop across R1?

The diagram illustrates an electrical circuit consisting of nine resistors labeled \(R_1\) to \(R_9\). All resistors have a value of \(10 \, \text{k}\Omega\). Below is a detailed description of the configuration:

- **Series and Parallel Arrangement:**
  - \(R_9\) is connected in series with the rest of the circuit.
  - \(R_7\) and \(R_8\) are connected in parallel, and this parallel arrangement is in series with \(R_6\).
  - Following \(R_6\), the circuit splits into three branches:
    - The first branch has resistors \(R_5\) and \(R_4\) connected in parallel.
    - The second branch consists of resistor \(R_3\).
    - The third branch contains resistors \(R_1\) and \(R_2\) connected in series.

- **Voltage Source:**
  - A voltage source \(V_A\) is connected across the entire circuit with the positive terminal at the top.

- **Figure Label:**
  - The circuit is labeled as "Figure 6–56."

This diagram provides an example of a complex resistive network, useful for practicing circuit analysis techniques such as series-parallel reduction and the application of Ohm's and Kirchhoff's laws.
Transcribed Image Text:The diagram illustrates an electrical circuit consisting of nine resistors labeled \(R_1\) to \(R_9\). All resistors have a value of \(10 \, \text{k}\Omega\). Below is a detailed description of the configuration: - **Series and Parallel Arrangement:** - \(R_9\) is connected in series with the rest of the circuit. - \(R_7\) and \(R_8\) are connected in parallel, and this parallel arrangement is in series with \(R_6\). - Following \(R_6\), the circuit splits into three branches: - The first branch has resistors \(R_5\) and \(R_4\) connected in parallel. - The second branch consists of resistor \(R_3\). - The third branch contains resistors \(R_1\) and \(R_2\) connected in series. - **Voltage Source:** - A voltage source \(V_A\) is connected across the entire circuit with the positive terminal at the top. - **Figure Label:** - The circuit is labeled as "Figure 6–56." This diagram provides an example of a complex resistive network, useful for practicing circuit analysis techniques such as series-parallel reduction and the application of Ohm's and Kirchhoff's laws.
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