Calculate the voltage gain, current gain, input impedance, and output impedance for the transistor network shown in Figure 19.132 in the textbook.
Answer to Problem 93P
The voltage gain, current gain, input impedance, and output impedance for the transistor network are
Explanation of Solution
Given Data:
Refer to Figure 19.132 in the textbook for the transistor network circuit.
From the given transistor network circuit, the internal resistance
Formula used:
Refer to Equation 19.73 in the textbook and write the expression for voltage gain of a transistor network in terms of hybrid parameters as follows:
Here,
Write the expression for current gain of the transistor network as follows:
Here,
Write the expression for input impedance of the transistor network as follows:
Calculation:
Redraw the given circuit as shown in Figure 1.
From Figure 1, write the expression for emitter current as follows:
Write the expression for base voltage from the circuit in Figure 1 as follows:
Write the expression for collector current as follows:
Write the expression for collector voltage as follows:
From Equation (7), substitute
Rearrange the expression as follows:
From Equation (2), substitute
Substitute 150 for
From Equation (6), substitute
Rearrange the expression as follows:
Rearrange the expression in Equation (5) as follows:
From Equations (7) and (9), substitute
Rearrange the expression as follows:
Substitute 150 for
Simplify the expression as follows:
From Equation (1), substitute
From Equation (9), substitute
Rearrange the expression as follows:
Substitute 150 for
From Equation (3), substitute
Consider output voltage
Apply KVL to the input loop for the circuit in Figure 2 as follows:
Substitute 1 for
Apply KCL at the output node for the circuit in Figure 2 as follows:
Substitute 1 for
Rearrange the expression as follows:
From Equation (12), substitute
Substitute 150 for
Write the expression for output impedance of the transistor network as follows:
Substitute 1 for
Conclusion:
Thus, the voltage gain, current gain, input impedance, and output impedance for the transistor network are
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