The combined resistance of two resistors R^1 and R^2 in a parallel circuit is given by the formula.?

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Rt=1/█(1/R^1 +1/R^2 ) simplify the formula.

2007-07-14 11:02:30 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Let combined resistance be R
1 / R = (1 / R1) + (1 / R2)
1 / R = (R2 + R1) / (R1 R2)

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

2007-07-14 11:20:14 · answer #1 · answered by Como 7 · 0⤊ 0⤋

Rt = 1/(1/R1 +1/R2) --> 1/Rt = 1/R1 +1/R2 =(R1+R2)/(R1*R2)

So
Rt = R1*R2/(R1+R2)

2007-07-14 11:06:55 · answer #2 · answered by nyphdinmd 7 · 0⤊ 0⤋

Rt =(R1 x R2) / (R1 + R2)

2007-07-14 11:08:26 · answer #3 · answered by Anonymous · 0⤊ 0⤋

(R1 * R2) / (R1 + R2)

2016-05-17 22:00:24 · answer #4 · answered by Anonymous · 0⤊ 0⤋