Question

1/R = (1/ R1 + R2) + (1/ R1+R3)
wyznacz R2

Answer 1

1/R = (1/ R1 + R2) + (1/ R1+R3)

1/R = 1/(R1+R2)  + 1/( R1+R3)  / - 1/(R1+R2)

1/R - 1/(R1+R2) = 1/(R1+R3) / - 1/R

-1/(R1+R2) = 1/(R1+R3) - 1/R  / * (R1+R2)

-1 = (R1+R2)/(R1+R3) - (R1+R2)/R

(R1+R2)/(R1+R3) - (R1+R2)/R = -1 / *(R1+R3)

(R1+R2) - (R1+R2)(R1+R3)/R = -(R1+R3)

(R1+R2) - (R1^2 + R1R3 + R2R1 + R2R3)/R = -(R1+R3) /*R

R(R1+R2) - (R1^2 + R1R3 + R2R1 + R2R3) = -R(R1+R3)

R1R + R2R - R1^2 - R1R3 - R2R1 - R2R3 = - RR1 - RR3 / - R1R

R2R - R1^2 - R1R3 - R2R1 - R2R3 = - RR1 - RR3 - R1R  / + R1^2

R2R  - R1R3 - R2R1 - R2R3 = - RR1 - RR3 - R1R + R1^2   / + R1R3

R2R  - R2R1 - R2R3 = - RR1 - RR3 - R1R + R1^2 + R1R3

R2 (R - R1 - R3) = - RR1 - RR3 - R1R + R1^2 + R1R3  / : (R - R1 - R3)

R2 = (- RR1 - RR3 - R1R + R1^2 + R1R3) : ( R - R1 - R3)

 

dużo trochę, ale po kolei wszystko starałam się rozpisać.

 

pozdrawiam :)