Question

A uniform wire of total resistance 21 ohm is bent in shape of an equilateral triangle.The value of equivalent resistance between any two vertices of the triangle is​

Answer 1

Explanation:

A uniform wire of total resistance 21 ohm is bent in shape of an equilateral triangle.The value of equivalent resistance between any two vertices of the triangle is

Answer 2

The value of equivalent resistance between any two vertices of the triangle is​ $\frac{14}{3}$  Ω

Given

A uniform wire of total resistance 21 ohm is bent in shape of an equilateral triangle.

To Find

We need to find the value of equivalent resistance between any two vertices .

Solution

Resistance is proportional to length.

Resistance in each side is =  $\frac{ total resistance}{side\\}$

                                           = $\frac{21}{3}$

                                           = 7 Ω

hence

  effective resistance between any two vertices will be

         $R_{eff}$   =$\frac{14}{7+ 14}$ × 7

                   = $\frac{14}{3}$  Ω

 

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