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

Chapter 0, Problem 102

(choose chapter or problem)

Electrical Engineering The formula for the total resistance \(R_T\) (in ohms) of a parallel circuit is given by

\(R_{T}=\frac{1}{\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}}\)

where \(R_1\), \(R_2\), and \(R_3\) are the resistance values of the first, second, and third resistors, respectively.

(a) Simplify the total resistance formula.

(b) Find the total resistance in the parallel circuit when \(R_1=6\) ohms, \(R_2=4\) ohms, and \(R_3=12\) ohms.

Text Transcription:

R_{T}=\frac{1}{\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}}

R_T

R_1

R_2

R_3

R_1=6

R_2=4

R_3=12