Transposing for variable when more than one is present on the formula

[mike194]

I am building am amplifier circuit and need to have a gain of 100. I have found instructions on-line showing how to design this but it skips the transposition of the equation. I would like to know how it was transposed so that I can use the equation for working out other values.


A_v=R_c.h_fe /(1+R_c.h_oe)

I need to transpose for R_c but I can't figure out what to do once I've got R_c / (1+R_c)= the rest

Any help would be very much appreciated

 

[Deleted member 4993]

I am building am amplifier circuit and need to have a gain of 100. I have found instructions on-line showing how to design this but it skips the transposition of the equation. I would like to know how it was transposed so that I can use the equation for working out other values.


A_v=R_c.h_fe /(1+R_c.h_oe)

I need to transpose for R_c but I can't figure out what to do once I've got R_c / (1+R_c)= the rest

Any help would be very much appreciated
View attachment 4571

simple algebra.....

\(\displaystyle \dfrac{R_c}{1 + R_c}\) = Q (some quantity)

\(\displaystyle \dfrac{1 + R_c}{R_c} = \dfrac{1}{Q}\)

\(\displaystyle 1 + \dfrac{1}{R_c} = \dfrac{1}{Q}\)

\(\displaystyle \dfrac{1}{R_c} = \dfrac{1}{Q} - 1\)

Continue......

 

[mike194]

Ah, so simple!

I won't say how long I've been at this.................

Thanks for your help