5- Find the half-cycle average values of the voltage across R1 and R2. All values shown are rms.

Introductory Circuit Analysis (13th Edition)
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**Problem 5:** Find the half-cycle average values of the voltage across \( R_1 \) and \( R_2 \). All values shown are RMS (root mean square).

**Circuit Details:**

- **Source Voltage (\( V_s \)):** Unknown value specified as \( V \).
- **Resistor \( R_1 \):** 470 ohms (\(\Omega\)).
- **Resistor \( R_2 \):** 1.0 kilo-ohms (k\(\Omega\)).
- **Voltage across \( R_3 \):** 30 volts (V).
- **Voltage across \( R_4 \):** 65 volts (V).

The diagram represents a parallel circuit with the following configuration:

1. The circuit starts with an AC voltage source (\( V_s \)).
2. The voltage source is connected to resistor \( R_1 \) with a resistance of 470 ohms.
3. \( R_1 \) is then connected in series to a combination of \( R_2 \) (1.0 k\(\Omega\)) in parallel with two branches: one with resistor \( R_3 \) (30 V across it) and the other with resistor \( R_4 \) (65 V across it).

The task involves finding the half-cycle average voltage values across the resistors \( R_1 \) and \( R_2 \), using the given RMS values across other parts of the circuit.
Transcribed Image Text:**Problem 5:** Find the half-cycle average values of the voltage across \( R_1 \) and \( R_2 \). All values shown are RMS (root mean square). **Circuit Details:** - **Source Voltage (\( V_s \)):** Unknown value specified as \( V \). - **Resistor \( R_1 \):** 470 ohms (\(\Omega\)). - **Resistor \( R_2 \):** 1.0 kilo-ohms (k\(\Omega\)). - **Voltage across \( R_3 \):** 30 volts (V). - **Voltage across \( R_4 \):** 65 volts (V). The diagram represents a parallel circuit with the following configuration: 1. The circuit starts with an AC voltage source (\( V_s \)). 2. The voltage source is connected to resistor \( R_1 \) with a resistance of 470 ohms. 3. \( R_1 \) is then connected in series to a combination of \( R_2 \) (1.0 k\(\Omega\)) in parallel with two branches: one with resistor \( R_3 \) (30 V across it) and the other with resistor \( R_4 \) (65 V across it). The task involves finding the half-cycle average voltage values across the resistors \( R_1 \) and \( R_2 \), using the given RMS values across other parts of the circuit.
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