The formula for the total resistance RT (in ohms) of a parallel circuit is given by

Question

rt= 1 / ((1/r1)+(1/r2)+(1/r3))
where R1, R2, and R3 are the resistance values of the first, second, and third resistors, respectively.
Simplify the total resistance formula.

Answer 1

hello, why no response

Answer 2

c'mon. This is just algebra I
You have
1/R = 1/R1 + 1/R2 + 1/R3
The LCD is R1*R2*R3, so
1/R = (R2*R3 + R1*R3 + R1*R2)/(R1 R2 R3)
now just flip both sides.
R = (R1 R2 R3)/(R2*R3 + R1*R3 + R1*R2)

Answer 3

10