Calculating Component Values in this Low-Frequency CE Amplifier Circuit

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To calculate the capacitor C1 in a low-frequency common emitter (CE) amplifier circuit with a cutoff frequency of 25Hz, the input impedance at the junction of three resistors must be determined. The impedance seen by C1 is influenced by the transistor's beta (β) and the emitter resistor, with an estimated impedance of around 10k ohms for calculations. The discussion emphasizes that the AC current gain, rather than the DC working point, is crucial for accurate calculations. Additionally, it is noted that the base and collector currents are provided, eliminating the need to guess β. Understanding these parameters is essential for correctly sizing C1 in the amplifier design.
MiguelHut
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Hi guys , i need help. How do i calculate C1? fu=25Hz
 

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Determine the input impedance of that stage as seen at the junction of the 3 resistors.
 
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Is this ok?
 

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MiguelHut said:
Is this ok?
Well, no. Let us start to the left. If you disconnect R6, C1 sees the parallel connection of R7 and R8 (13k). Now reconnect R6. The equivalent impedance seen through R6 depends on the transistor (the β of the transistor at the working point) and the emitter resistor. This is a somewhat cumbersome calculation, but to get a ballpark value, assume β=100. Then the impedance seen through R6 is approximately R6 + 100*R3. This impedance appears in parallel with the 13k calculated above.

So - estimating the AC impedance on the right side of C1 to be about 10k, you can calculate the size of C1.
 
Tom.G said:
There is no need to guess the transistor β. Both the Base current and Collector current are given.
Yes. But - we are not talking about the DC working point, but the AC current gain.
 
Is this right?
 

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MiguelHut said:
Is this right?
No.
  1. 3mA/12μA = 3000μA/12μA = 250
  2. 3mA and 12μA determines the DC working point, not the current gain
 
Svein said:
Yes. But - we are not talking about the DC working point, but the AC current gain.
Here is a pretty good tutorial on how to calculate the input impedance of a CE amplifier:

https://www.electronics-tutorials.ws/amplifier/input-impedance-of-an-amplifier.html

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