Concept explainers
(a)
The Thevenin equivalent resistance seen by the load resistor
Answer to Problem 3.60HP
The expression for the Thevenin resistance seen by the load resistor is
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
To calculate the Thevenin equivalent resistance, short circuit the voltage source and open circuit the load resistance, mark the values and redraw the circuit.
The required diagram is shown in Figure 2
From the above figure, the Thevenin equivalent resistance of the circuit is evaluated as,
Conclusion:
Therefore, the expression for the Thevenin resistance seen by the load resistor is
(b)
The Thevenin equivalent network seen by
Answer to Problem 3.60HP
The Thevenin equivalent circuit seen by the load is shown in Figure 4 and the power dissipated by the resistance
Explanation of Solution
Calculation:
The conversion of
The conversion of
Substitute
The expression for the Thevenin equivalent resistance is given by,
Substitute
The conversion of
The conversion of
To calculate the Thevenin voltage open circuit the load resistance, mark the values and redraw the circuit.
The required diagram is shown in Figure 3
From the above figure the Thevenin equivalent voltage is calculated as,
Mark the values and draw the Thevenin equivalent circuit.
The required diagram is shown in Figure 4
From Figure 4 the current that flows through the resistance of
The conversion of
The conversion of
The expression for the power dissipated by the load is given by,
Substitute
Conclusion:
Therefore, the Thevenin equivalent circuit seen by the load is shown in Figure 4 and the power dissipated by the resistance
(c)
The power dissipated by the Thevenin equivalent resistance seen by
Answer to Problem 3.60HP
The power dissipated by the resistance
Explanation of Solution
Calculation:
The expression to calculate the power dissipated by the Thevenin resistance of the circuit is given by,
Substitute
Conclusion:
Therefore, the power dissipated by the resistance
(d)
The power dissipated by the entire bridge when
Answer to Problem 3.60HP
The total power dissipated in the bridge is
Explanation of Solution
Calculation:
Redraw the circuit for the resistance
The required diagram is shown in Figure 5
The current through the resistance
The expression for the power dissipated by the resistance is given by,
Substitute
The current through the resistance
The expression for the power dissipated by the resistance
Substitute
The current through the resistance
The expression for the power dissipated by the resistance
Substitute
The expression for the power dissipated by the resistance
Substitute
The expression for the total power dissipated by the bridge is given by,
Substitute
Conclusion:
Therefore, the total power dissipated in the bridge is
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Chapter 3 Solutions
Principles and Applications of Electrical Engineering
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