Question

Three Resistors each of R ohms. are connected to form triangle. The resistance between any two terminals will be

Answer 1

Answer:

since all the the resistors are connected to form a triangle

therefore they are connected in parallel

1/Rp = 1/R+1/R+1/R

1/Rp = 3/R

Rp = R/3ohm

Answer 2

The resistance between any two terminals will be $\dfrac{2R}{3}$.

Explanation:

In this case, it is mentioned that three resistors each of R ohms are connected to form a triangle. We need to find the resistance between any two terminals. Two resistors are connected in series. Their equivalent is :

$R_{eq}=R+R=2R$

Now 2R and R will be in parallel. So,

$R_{eq}=\dfrac{1}{R}+\dfrac{1}{2R} \\\\R_{eq}=\dfrac{2R}{3}$

So, the resistance between any two terminals will be $\dfrac{2R}{3}$. Hence, this is the required solution.

Learn more,

Equivalent resistance

https://brainly.in/question/3476762