Question

Find the equivalent resistance between points A and B.

Answer 1

Let RP be the equivalent resistance of the resistors 12 Ω, 6 Ω and 4 Ω connected in parallel. Hence, we have

${\displaystyle \frac{1}{R_p}=\frac{1}{12}+\frac{1}{6}+\frac{1}{4}}$

${\displaystyle =\frac{1+2+3}{12}=\frac{1}{2}}$

R_p = 2Ω

Therefore, the equivalent resistance of the circuit is

2Ω + R_p + 5Ω = 2Ω + 2Ω + 5Ω = 9Ω

Thus, the equivalent resistance between points A and B is 9Ω .