In the circuit shown the equivalent resistance between A and B is

Question

In the circuit shown the equivalent resistance between A and B is (A)  27 Ω  (B)  18 Ω  (C)  9 Ω  (D)  3 Ω

Tardigrade Admin · Accepted Answer

The three resistances between A and B are parallel, (1/R text comb )=(1/R1)+(1/R2)+(1/R3) =(1/9)+(1/9)+(1/9) (1/R text comb )=(3/9) ⇒ R text comb =3 Ω

Q. In the circuit shown the equivalent resistance between $A$ and $B$ is

$27 Ω$

$18 Ω$

$9 Ω$

$3 Ω$

The three resistances between $A$ and $B$ are parallel,
$\frac{1}{R _{comb}} = \frac{1}{R _{1}} + \frac{1}{R _{2}} + \frac{1}{R _{3}}$
$= \frac{1}{9} + \frac{1}{9} + \frac{1}{9} \frac{1}{R _{comb}} = \frac{3}{9}$
$\Rightarrow R_{comb} = 3 Ω$

Q. In the circuit shown the equivalent resistance between A and B is

27Ω

18Ω

9Ω

3Ω