How can the literal equation 1/r1 + 1/r2 = 1/R be solved for R? Please help me.

Question

Anonymous · Accepted Answer

well, that is the formula for the electrical resistance of r1 and r2 in parallel :)
multiply both sides by r1*r2*R
r2 R + r1 R = r1 r2
R ( r1+r2) = r1 r2
R = r1 r2 / (r1+r2)
another way to think about it is "conductance" = 1/resistance
C = c1 + c2 if in parallel
C = 1/r1 + 1/r2 = (r1 + r2)/r1 r2
1/C = R = r1 r2 / (r1 + r2)

Isabel · Answer

Thank you Anonymous.

Anonymous · Answer

You are welcome.

Elanara Gasimzade · Answer

1R=1R1+1R2+...1R=1R1+1R2+... R=ρ⋅lAR=ρ⋅lA can someone help me