Question

what is equivalent resistance between A and B in the circuit diagram?

Answer 1

In the diagram, Three resistors are in series and one resistor is in parallel to the three resistors.

Hence, equivalent resistance of three 2 Ω resistors which are in series is:

= 2 Ω + 2 Ω + 2 Ω

= 6 Ω

Now, the 6 Ω and 2 Ω resistors are in parallel.

Now, the equivalent resistance of the circuit:

$\frac{1}{R_e_q} = \frac{1}{2} +\frac{1}{6}$

$\frac{1}{R_e_q} = \frac{3+1}{6}$

$R_e_q = 1.5$ Ω

Hence, the equivalent resistance between A and B is 1.5 Ω