1/r = 1/r1 + 1/r2?

Solve for R given the rational expression , relating the total resistance of R of an electrical circuit containing two resistances in parallel R1 & R2

Answer:
Let Voltage = V
1/R = (R1 + R2) ÷ V
Invert...
R/1 = V ÷ (R1 + R2)
R = V ÷ (R1+R2)
in parallel circuits for resistance;it is the product over the sum.
1/r=1/r1 +1/r2
1/r=(r2+r1)/r1r2
cross multiplication;
r1r2/(r2+r1)=r
1/r=1/r1+1r2
1/r=(r2+r1) / (r1*r2)
cross multiply:
1(r1*r2)=r(r2+r1)
divide both sides by (r2+r1):
r=(r1*r2) / (r2+r1)

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