Thirteen resistances each of resistance R ohm are connected in the circuit as shown in the figure below. The effective resistance between A and B is

Question

Thirteen resistances each of resistance R ohm are connected in the circuit as shown in the figure below. The effective resistance between A and B is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-ys3qbb3jmoef.png" /> (A) RΩ  (B) (2 R/3) Ω  (C) (4 R/3)Ω  (D) 2RΩ

Tardigrade Admin · Accepted Answer

Equivalent circuit will be <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-ys3qbb3jsehi.png" /> Now above circuit is a wheat stone's bridge. By solving we get. RA B=((4/3) R × (4/3) R/(4)3 R + (4)3 R=(2/3)R

Q. Thirteen resistances each of resistance $R$ ohm are connected in the circuit as shown in the figure below. The effective resistance between $A an d B$ is

$R Ω$

$\frac{2 R}{3} Ω$

$\frac{4 R}{3} Ω$

$2 R Ω$

Equivalent circuit will be

Now above circuit is a wheat stone's bridge.
By solving we get.
$R_{A B} = \frac{\frac{4}{3} R \times \frac{4}{3} R}{\frac{4}{3} R + \frac{4}{3} R} = \frac{2}{3} R$

Q. Thirteen resistances each of resistance R ohm are connected in the circuit as shown in the figure below. The effective resistance between AandB is

RΩ

32R​Ω

34R​Ω

2RΩ