Ip Ep=40 V f = 60 Hz N₂ = 20- N₁ = 120 Find the maximum flux m om = Find the magnitude of the induced secondary voltage Es Es = units + Is Es units If the coefficient of coupling (k)= 0.75, determine the magnitude of the induced secondary voltage Es Esk=0.75= units

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Question
### Transformer Circuit Diagram and Calculation Exercise:

The diagram illustrates a transformer with the following components and specifications:

- **Primary Side:**
  - Number of Turns (\(N_p\)): 20
  - Primary Voltage (\(E_p\)): 40 V
  - Primary Current (\(I_p\))
  - Frequency (\(f\)): 60 Hz

- **Secondary Side:**
  - Number of Turns (\(N_s\)): 120
  - Secondary Voltage (\(E_s\))
  - Secondary Current (\(I_s\))

- **Magnetic Flux (\(\Phi_m\)):**
  - Represented by the arrows looping through the core of the transformer.

#### Tasks:

1. **Find the magnitude of the induced secondary voltage (\(E_s\)):**

   \[
   E_s = \, \text{____} \, \text{units}
   \]

2. **Find the maximum magnetic flux (\(\Phi_m\)):**

   \[
   \Phi_m = \, \text{____} \, \text{units}
   \]

3. **If the coefficient of coupling (\(k\)) = 0.75, determine the magnitude of the induced secondary voltage (\(E_s\)) under coupling conditions:**

   \[
   E_{S_{k=0.75}} = \, \text{____} \, \text{units}
   \]

#### Explanation:

The transformer is represented by a core with windings indicated for both primary and secondary sides. The task requires calculations using the provided data and electrical principles, such as the turns ratio and magnetic flux concepts, to find the missing values for the induced voltages and flux.
Transcribed Image Text:### Transformer Circuit Diagram and Calculation Exercise: The diagram illustrates a transformer with the following components and specifications: - **Primary Side:** - Number of Turns (\(N_p\)): 20 - Primary Voltage (\(E_p\)): 40 V - Primary Current (\(I_p\)) - Frequency (\(f\)): 60 Hz - **Secondary Side:** - Number of Turns (\(N_s\)): 120 - Secondary Voltage (\(E_s\)) - Secondary Current (\(I_s\)) - **Magnetic Flux (\(\Phi_m\)):** - Represented by the arrows looping through the core of the transformer. #### Tasks: 1. **Find the magnitude of the induced secondary voltage (\(E_s\)):** \[ E_s = \, \text{____} \, \text{units} \] 2. **Find the maximum magnetic flux (\(\Phi_m\)):** \[ \Phi_m = \, \text{____} \, \text{units} \] 3. **If the coefficient of coupling (\(k\)) = 0.75, determine the magnitude of the induced secondary voltage (\(E_s\)) under coupling conditions:** \[ E_{S_{k=0.75}} = \, \text{____} \, \text{units} \] #### Explanation: The transformer is represented by a core with windings indicated for both primary and secondary sides. The task requires calculations using the provided data and electrical principles, such as the turns ratio and magnetic flux concepts, to find the missing values for the induced voltages and flux.
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