Concept explainers
For the ideal transformer circuit of Fig. 13.122 below, find:
- (a) I1 and I2,
- (b) V1, V2, and Vo,
- (c) the complex power supplied by the source.
(a)
Calculate the currents
Answer to Problem 57P
The value of currents
Explanation of Solution
Given data:
Refer to Figure 13.122 in the textbook for the transformer circuit.
The value of n from the given figure is 2.
Calculation:
From Figure 13.122, calculate the load impedance
In Figure 13.122, reflect the load of
Substitute 2 for
Consider the expression for the impedance
Substitute
From Figure 1, write the expression for the current
Substitute
Write the expression for the current
Substitute
Conclusion:
Thus, the value of currents
(b)
Calculate the voltages
Answer to Problem 57P
The value of voltages
Explanation of Solution
Calculation:
Apply Kirchhoff's voltage law to the primary loop contains current
Substitute
Write the expression for the voltage
Substitute 2 for n and
Write the expression for the output voltage
Substitute
Conclusion:
Thus, The value of voltages
(c)
Calculate the complex power supplied by the source.
Answer to Problem 57P
The complex power supplied by the source is
Explanation of Solution
Calculation:
The conjugate of the current
Write the expression for the complex power supplied by the source.
Write the Matlab code to find the required complex power.
V=i*60;
I1_C=8.8753-i*24.3318;
S=V*I1_C
The output of the Matlab code is given as follows.
S = 1459.91 + 532.52i
From the Matlab output, the complex power is,
Conclusion:
Thus, the complex power supplied by the source is
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Chapter 13 Solutions
Fundamentals of Electric Circuits
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