For the iron-core transformer below if the turns ration (a)= 1/4, Ip = 3A, and Z₁ = 30. + ell N ele + ZL VL Find the magnitude of the current IL and the voltage VL |L= units VL = units Find the magnitue of load impedance as seen from the primary side of the transformer. Zin = units

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**Iron-Core Transformer Problem**

For the iron-core transformer below, if the turns ratio (\(a\)) = 1/4, \(I_p\) = 3A, and \(Z_L\) = 3Ω.

**Transformational Schematic Explanation:**

- **Input Voltage (\(V_g\))**: Alternating current voltage source connected to primary winding.
- **Primary Current (\(I_p\))**: Current flowing through primary winding.
- **Turns Ratio (\(\frac{N_p}{N_s}\))**: Ratio of primary to secondary turns, given as 1/4.
- **Secondary Current (\(I_L\))**: Current flowing through the secondary winding and load.
- **Load Impedance (\(Z_L\))**: Resistor connected to the secondary winding, value given as 3Ω.
- **Output Voltage (\(V_L\))**: Voltage across the load resistor.

**Tasks:**

1. **Find the Magnitude of \(I_L\) and \(V_L\):**

   - \(I_L =\) [Enter your answer] units
   - \(V_L =\) [Enter your answer] units

2. **Find the Magnitude of Load Impedance as Seen from the Primary Side (\(Z_{in}\)):**

   - \(Z_{in} =\) [Enter your answer] units

This illustration involves a basic transformer model with primary and secondary circuits. The goal is to determine the secondary current and voltage, as well as the transformed load impedance from the primary side.
Transcribed Image Text:**Iron-Core Transformer Problem** For the iron-core transformer below, if the turns ratio (\(a\)) = 1/4, \(I_p\) = 3A, and \(Z_L\) = 3Ω. **Transformational Schematic Explanation:** - **Input Voltage (\(V_g\))**: Alternating current voltage source connected to primary winding. - **Primary Current (\(I_p\))**: Current flowing through primary winding. - **Turns Ratio (\(\frac{N_p}{N_s}\))**: Ratio of primary to secondary turns, given as 1/4. - **Secondary Current (\(I_L\))**: Current flowing through the secondary winding and load. - **Load Impedance (\(Z_L\))**: Resistor connected to the secondary winding, value given as 3Ω. - **Output Voltage (\(V_L\))**: Voltage across the load resistor. **Tasks:** 1. **Find the Magnitude of \(I_L\) and \(V_L\):** - \(I_L =\) [Enter your answer] units - \(V_L =\) [Enter your answer] units 2. **Find the Magnitude of Load Impedance as Seen from the Primary Side (\(Z_{in}\)):** - \(Z_{in} =\) [Enter your answer] units This illustration involves a basic transformer model with primary and secondary circuits. The goal is to determine the secondary current and voltage, as well as the transformed load impedance from the primary side.
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