Math Problem Statement
Solution
Let us analyze and solve the questions from the provided circuit diagrams and descriptions.
Question 8: Voltage Gain with Load Resistor and Capacitor
The voltage gain () for the circuit in Figure 2 with a load resistor () and capacitor () can be calculated using the formula:
Where:
- (given transistor gain)
- is the intrinsic emitter resistance, with at room temperature and is the emitter current.
To calculate , we need , which depends on the circuit's biasing. If the collector current () is approximately equal to , we estimate:
Substitute values once is known, calculate , and then substitute in the gain equation to find .
Question 9: Effect of Load Resistance on Gain
Adding a load resistor () decreases the overall voltage gain because the effective load resistance seen by the transistor becomes:
Here:
- (collector resistor)
Since is much smaller than , significantly reduces, which reduces .
Question 10: Effect of Removing Capacitor
bypasses the emitter resistor to stabilize the gain at high
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Math Problem Analysis
Mathematical Concepts
Analog Circuits
Transistor Voltage Gain
Load Resistance
Emitter Resistance
Formulas
Voltage Gain: Av = -β * RL / re
Emitter Resistance: re = VT / IE
Effective Resistance: Reff = (RC * RL) / (RC + RL)
Theorems
Transistor Small-Signal Analysis
Suitable Grade Level
Undergraduate Engineering
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