Concept explainers
Find the value of
Answer to Problem 43E
The value of
Explanation of Solution
Calculation:
The circuit diagram is redrawn as shown in Figure 1,
Refer to the redrawn Figure 1,
Apply KVL in the mesh
Here,
Apply KVL in the mesh
Here,
Apply KVL in the mesh
Here,
Apply KVL in the mesh
Here,
The expression for the voltage across
Here,
Refer to the redrawn Figure 1,
Substitute
Substitute
Substitute
Substitute
Rearrange the above equation for
Substitute
Substitute
Substitute
Substitute
Rearrange the equation (6), (10) and (11),
The equations so formed can be written in matrix form as,
Therefore, by Cramer’s rule,
The determinant of the coefficient matrix is as follows,
The 1st determinant is as follows,
The 2nd determinant is as follows,
The 3rd determinant is as follows,
Simplify for
Simplify for
Simplify for
The value of
Substitute
Conclusion:
Thus, the value of
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Chapter 4 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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