The figure below shows an AC source, a transformer with a turns ratio of N₁/N₂ = 2.70, a source resistor Rs, and a load resistor R₁. R₂ www AV eeeee №₂ R₁ Ⓡ A voltmeter across the load resistor measures an rms voltage of 26.0 V when the load resistor R₁ is 48.0 and the rms source voltage is AV = 86.0 V. (a) Determine the value of the source resistor Rs (in (2). 350 X How is the rms voltage across the secondary coil related to that of the primary? How is the power delivered to the primary related to the power delivered to the load resistor? How are the voltages across each element on the primary side related to each other? (b) What If? If the turns ratio is increased to 3.00, determine the source resistance (in 2) required to deliver the same amount of power to the load.

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The image shows a circuit diagram of an AC source connected to a transformer. The transformer has a turns ratio of \( N_1/N_2 = 2.70 \), a source resistor \( R_S \), and a load resistor \( R_L \).

### Diagram Details:
- **AC Source (\(\Delta V_S\))**: The source provides an rms voltage of 86.0 V.
- **Transformer**: Consists of two coils, primary (\(N_1\)) and secondary (\(N_2\)) with a turns ratio of 2.70.
- **Load Resistor (\(R_L\))**: Has a resistance of 48.0 \(\Omega\).
- **Voltmeter**: Measures an rms voltage of 26.0 V across the load resistor \(R_L\).

### Problem Statement:
1. **(a) Calculation Task**: Determine the value of the source resistor \( R_S \) in ohms (\(\Omega\)).
   - **Input Box with Incorrect Output**: 350 \(\Omega\) with a wrong answer indication.
   - **Hints Provided**: 
     - Relationship between the rms voltage across secondary and primary coil.
     - Power delivery comparison between primary and load resistor.
     - Voltage relationships on the primary side.

2. **(b) What If Scenario**: If the turns ratio is increased to 3.00, determine the source resistance \( R_S \) in ohms (\(\Omega\)) needed to deliver the same power to the load.
   - **Input Box with Incorrect Output**: 432 \(\Omega\) with a wrong answer indication.
   - **Hints Provided**:
     - Modify previous work to account for the new turns ratio in order to maintain the same power delivery.

This image provides a detailed circuit schematic and a problem scenario that involves understanding transformer behavior and electrical power relationships, aimed at educational purposes in Physics or Electrical Engineering courses.
Transcribed Image Text:The image shows a circuit diagram of an AC source connected to a transformer. The transformer has a turns ratio of \( N_1/N_2 = 2.70 \), a source resistor \( R_S \), and a load resistor \( R_L \). ### Diagram Details: - **AC Source (\(\Delta V_S\))**: The source provides an rms voltage of 86.0 V. - **Transformer**: Consists of two coils, primary (\(N_1\)) and secondary (\(N_2\)) with a turns ratio of 2.70. - **Load Resistor (\(R_L\))**: Has a resistance of 48.0 \(\Omega\). - **Voltmeter**: Measures an rms voltage of 26.0 V across the load resistor \(R_L\). ### Problem Statement: 1. **(a) Calculation Task**: Determine the value of the source resistor \( R_S \) in ohms (\(\Omega\)). - **Input Box with Incorrect Output**: 350 \(\Omega\) with a wrong answer indication. - **Hints Provided**: - Relationship between the rms voltage across secondary and primary coil. - Power delivery comparison between primary and load resistor. - Voltage relationships on the primary side. 2. **(b) What If Scenario**: If the turns ratio is increased to 3.00, determine the source resistance \( R_S \) in ohms (\(\Omega\)) needed to deliver the same power to the load. - **Input Box with Incorrect Output**: 432 \(\Omega\) with a wrong answer indication. - **Hints Provided**: - Modify previous work to account for the new turns ratio in order to maintain the same power delivery. This image provides a detailed circuit schematic and a problem scenario that involves understanding transformer behavior and electrical power relationships, aimed at educational purposes in Physics or Electrical Engineering courses.
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