## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

The equivalent resistance between points a and b is $54.5~\Omega$
We can find the equivalent resistance of the three $100~\Omega$ resistors in series: $100~\Omega + 100~\Omega + 100~\Omega = 300~\Omega$ We can find the equivalent resistance of the two $100~\Omega$ resistors in series: $100~\Omega + 100~\Omega = 200~\Omega$ We can find the equivalent resistance of the three values in parallel: $\frac{1}{R} = \frac{1}{100~\Omega} + \frac{1}{200~\Omega} + \frac{1}{300~\Omega}$ $\frac{1}{R} = \frac{6}{600~\Omega} + \frac{3}{600~\Omega} + \frac{2}{600~\Omega}$ $\frac{1}{R} = \frac{11}{600~\Omega}$ $R = \frac{600~\Omega}{11}$ $R = 54.5~\Omega$ The equivalent resistance between points a and b is $54.5~\Omega$