To solve simulataneous equations, only managed to get one equation

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SUMMARY

The discussion focuses on solving simultaneous equations to determine the resistor values R1 and R2 in a transistor biasing circuit, given parameters such as beta = 100, Vce = 4V, Ic = 1.25mA, and Vbe = 0.7V. Participants emphasize the importance of selecting a reasonable resistor value to ensure sufficient base current while minimizing power wastage. The key equation IbRth = Vth - Vbe - Ve is highlighted, along with the relationships Rth = R1R2/(R1+R2) and Vth = R2*Vcc/(R1+R2). The consensus is that focusing on the ratio of resistors rather than their individual values is crucial for effective circuit design.

PREREQUISITES
  • Understanding of transistor biasing principles
  • Familiarity with Ohm's Law and Kirchhoff's Voltage Law
  • Knowledge of resistor combinations in parallel and series
  • Basic proficiency in circuit analysis techniques
NEXT STEPS
  • Research how to calculate base current (Ib) in transistor circuits
  • Learn about the impact of resistor values on power consumption in biasing circuits
  • Study the concept of Thevenin's theorem for circuit simplification
  • Explore practical examples of transistor biasing configurations
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Electronics students, circuit designers, and engineers involved in transistor circuit design and analysis will benefit from this discussion.

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Homework Statement


Given beta = 100, Vce= 4V, Ic=1.25mA, Vbe =0.7V


Homework Equations



IbRth = Vth - Vbe - Ve

Rth= R1R2/(R1+R2)
Vth = R2*Vcc/(R1+R2)

The Attempt at a Solution



In order to find the two unknown (R1 and R2) using simultaneous equations, I need another equation right? But I have no idea how to get another one, hope you guys can let me know, thank you so much.
 

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wanna_know123 said:

Homework Statement


Given beta = 100, Vce= 4V, Ic=1.25mA, Vbe =0.7V

Homework Equations



IbRth = Vth - Vbe - Ve

Rth= R1R2/(R1+R2)
Vth = R2*Vcc/(R1+R2)

The Attempt at a Solution



In order to find the two unknown (R1 and R2) using simultaneous equations, I need another equation right? But I have no idea how to get another one, hope you guys can let me know, thank you so much.
The ratio, not the individual resistor values, is mostly all you need. So choose a reasonable R_1 or R_2 and solve for the remainder.

Things to consider when selecting a 'reasonable' resistor: you don't want that DC voltage source needlessly wasting tons of power on those biasing resistors, so choose the biggest resistor value that works. What defines 'working'? The ability for enough current to reach the base does.

Ideally (beta = inf), the total current down that way would be v/(R_1 + R_2), and even for beta in the hundreds, the current down that branch is still roughly equal to that. So just make sure v_+/ (R_1+R_2) is much, much greater than what I_B you may expect to see. That way, you will definitely have enough current to fuel your base. Basically, don't use megaohm resistors, resulting in microamp currents, when the base wants to draw microamp currents itself.
 

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