Concept explainers
Find current Io in the circuit of Fig. 13.91.
Calculate the current
Answer to Problem 22P
The current
Explanation of Solution
Given data:
Refer to Figure 13.91 in the textbook for the coupled coil circuit.
Calculation:
In Figure 13.91, replace the coupled inductor by dependent source model by using Figure 13.8. The modified circuit as shown in Figure 1.
In Figure 1, consider the followings.
From Figure 1, consider that the loops 1, 2 and 3 contain the currents
Apply Kirchhoff's voltage law to the loop 1 in Figure 1.
Apply Kirchhoff's voltage law to the loop 2 in Figure 1.
Apply Kirchhoff's voltage law to the loop 3 in Figure 1.
Write equations (1), (2), and (3) in matrix form as follows.
Write the MATLAB code to solve the equation (4).
A = [j*100 j*(-60) j*(-40); j*(-60) (100+j*80) j*(-20); j*(-40) j*(-20) j*10];
B = [120; 0; 0];
C = inv(A)*B
The output in command window:
C =
0.45231 + 0.34154i
-0.19385 + 0.71077i
1.42154 + 2.78769i
From the MATLAB output, the currents
And
Write the expression for the current
Substitute
Conclusion:
Thus, the current
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Chapter 13 Solutions
Fundamentals of Electric Circuits
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