Question

Show how you would connect three resistors each of resistance 6 $\Omega$ so that the combination has a resistance of

(i) 9 $\Omega$

(ii) 2 $\Omega$

Answer 1

(i) In order to get a resistance of 9 $\Omega$ from three resistors, each of resistance 6 $\Omega$, we connect two resistors in parallel and this parallel combination(or resistance 3 $\Omega$) in series with the third resistor as shown in figure(a).

(ii) In order to get a resistance of 2 $\Omega$ from three resistors, each of resistance 6 $\Omega$, we connect all the three resistors in parallel as shown in figure(b) as equivalent resistance in parallel combination i.e., R _p is given by R _p = $\frac{6\Omega }{3}$ = 2 $\Omega$ .