The combined resistance of two resistors R1 and R2 in a parallele circuit is given by the formula Rt=1/1/R1+1/

Question

The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula Rt=1/1/R1+1/R2. simplify the formula.
Where I have typed R1 and R2 the number is supposed to be little and below the r to the right? Does this make sense? Kind of like how we would write the exponents but down instead of up.

Answer 1

In the numerator you have: 1
In the denominator, you have: 1/R1 + 1/R2

1) Add the two fractions in the denominator, so the result is a single fraction in the denominator. (Hint: find the common denominator.)

2) Now you have: 1/(a fraction). Whenever you have 1 divided by a fraction, the result is the same as the fraction flipped upside down. For example:
1 / (3/4) = 4/3
1 / (a/b) = b/a
etc.

Answer 2

r1=Resistance No 1
r2=Resistance No 2
R= Resultant resistance.
1/R = 1/r1 + 1/r2
1/R = (r2 + r1) / (r1*r2)
R = (r1*r2) / (r2 + r1)
=================

Answer 3

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

Rt = R1*R2 / (R1 + R2)

Answer 4

(R1 * R2) / (R1 + R2)