Question

calculate equivalent resistance between AB and AC in the given circuit ​

Answer 1

The equivalent resistance between AB and AC in the given circuit is 3.6Ω

Explanation:

Given Data

$\text{Resistance \ R}_1 = 3 \Omega$

$\text{Resistance \ R}_2 = 6 \Omega$

$\text{Resistance \ R}_3 = 6 \Omega$

Find the Equivalent Resistance $\text{R}_\text{E}$

The given circuit is in the shape of triangle or delta connection, where are  two resistors are parallely connected and another one is connected serially.

For the parallely connected resistors, we can add them.

$\text{Parallel resistors} = \text{R}_1 + \text{R}_2$

$\text{R}_1 + \text{R}_2 = 3 \Omega + 6 \Omega$              

$\text{R}_1 + \text{R}_2 = 9 \Omega$

$\frac{1}{\text{Equivalent Resistance R}_\text{E}} = \frac{1}{\text{R}_1+\text{R}_2 } \ + \frac{1}{\text{R}_3}$

Substitute the respective values in above relation.

$\frac{1}{\text{Equivalent Resistance R}_\text{E}} = \frac{1}{9 \Omega} \ + \frac{1}{6 \Omega}$

$\frac{1}{\text{Equivalent Resistance R}_\text{E}} = \frac{ 9 + 6}{54} \ \Omega$

$\frac{1}{\text{Equivalent Resistance R}_\text{E}} = \frac{15}{54} \ \Omega$

$\text{Equivalent Resistance R}_\text{E} = \frac{54}{15} \ \Omega$

$\text{Equivalent Resistance R}_\text{E} = 3.6 \ \Omega$

Therefore, the equivalent resistance for the given circuit with three resistance as 3, 6 and 6Ω  is 3.6 Ω.

To Learn More

1)Calculate equivalent resistance between points A and B in the following circuit

https://brainly.in/question/7297549

2) Calculate the equivalent resistance between the points A and B in the circuits shown in Fig. 3.21 (a) and Fig. 3.21 (b).(Ans. (a) 4 ohm (b) 6 ohm]​

https://brainly.in/question/11167033

Answer 2

find the equivalent resistance between AB and AC