Question

What is the equivalent resistance between points a and b in FIGURE P28.45?

Short answer

The equivalent resistance will be$5.5\Omega$.

Step-by-step solution

Given information

We have given,

The complex linear circuit.

We have to find the equivalent resistance between points a and b.

Simplify

We have to use the rule to calculate the resistance in parallel and series combinations.

By given diagram we can see that some of the resistances are in parallel. then

$$\begin{gathered} \frac{1}{{\mathrm{R}}_{\mathrm{eq}1}}=\frac{1}{4\Omega }+\frac{1}{6\Omega }\frac{1}{12\Omega } \\ {\mathrm{R}}_{\mathrm{eq}1}=0.5\Omega \end{gathered}$$

Now left are in series. then,

localid="1651058783263" $$\begin{gathered} {\mathrm{R}}_{\mathrm{eq}}=(0.2+2+3)\Omega \\ {\mathrm{R}}_{\mathrm{eq}}=5.5\Omega \end{gathered}$$