Concept explainers
Find the power dissipated by each resistor in the circuit.
Answer to Problem 36E
The power dissipated by
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,
The expression for the power dissipated by the resistor is as follows.
Here,
The current flowing through the
Here,
The current flowing through the
Here,
The current flowing through the
Here,
Refer to the redrawn Figure 1.
Substitute
Substitute
Substitute
Rearrange the equation (8), (9) and (10).
The equations so formed can be written in matrix form as,
Therefore, by Cramer’s rule,
The determinant of 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
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the power dissipated by
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Chapter 4 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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