To solve simulataneous equations, only managed to get one equation

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To solve for the unknown resistor values R1 and R2 in the circuit, an additional equation is required, which can be derived by selecting a reasonable value for one resistor. It's important to choose resistor values that do not waste excessive power while still allowing sufficient current to reach the base of the transistor. The current flowing through the resistors should be significantly greater than the expected base current to ensure proper operation. The discussion emphasizes that the ratio of the resistors is crucial, rather than their individual values. Proper selection of resistor values will facilitate the solution of the simultaneous equations needed for the circuit analysis.
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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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