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Find the Thé venin equivalent resistance seen byresistor
The Thevenin equivalent resistance seen by the resistor
Answer to Problem 3.62HP
The Thevenin equivalent resistance is
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
To calculate the value of Thevenin equivalent resistance, short circuit the voltage source and open circuit the current source, open circuit the load resistance
The required diagram is shown in Figure 2
From the above figure the expression for the equivalent resistance of the circuit is evaluated as,
The expression for the Thevenin resistance of the circuit is given by,
Substitute
To calculate the open circuit voltage of the circuit, open circuit the load resistance and redraw the circuit.
The required diagram is shown in Figure 3
The expression to evaluate the voltage across the resistance
The expression to evaluate the voltage across the resistance
The expression for the open circuit voltage is given by,
Substitute
Mark the values and draw the Thevenin equivalent seen by the loadresistance
The required diagram is shown in Figure 4
The expression for the Norton equivalent resistance is given by,
Substitute
To find the Norton current, short circuit the load resistance and redraw the circuit.
The required diagram is shown in Figure 5
To obtain the Norton current convert the voltage sources of the above circuit into current source and redraw the circuit..
The required diagram is shown in Figure 6
The resistance
The resistance
The expression for the Norton current is given by,
Mark the values and draw the Norton equivalent of the circuit.
The required diagram is shown in Figure 7
Conclusion:
Therefore, the Thevenin equivalent resistance is
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Chapter 3 Solutions
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