Question

Calculate the equivalent resistance between points A andB.​

Answer 1

Answer:

Series Combination:

$\longrightarrow\sf R_{(equivalent)} = R_1 + R_2$

$\longrightarrow\sf R_{(equivalent)}=4 + 4$

$\longrightarrow\sf R_{(equivalent)}= 8 \: \Omega$

Parallel combination :

$\longrightarrow\sf \dfrac{1}{R_{(equivalent)}} = \dfrac{1}{R_1} + \dfrac{1}{R_2}$

$\longrightarrow\sf \dfrac{1}{R_{(equivalent)}} = \dfrac{1}{8} + \dfrac{1}{4}$

$\longrightarrow\sf R_{(equivalent)} = \dfrac{4 \times 8}{8 + 4}$

$\longrightarrow\sf R_{(equivalent)} = \dfrac{32}{12}$

$\longrightarrow\sf R_{(equivalent)} = \dfrac{16}{6}$

$\longrightarrow\sf R_{(equivalent)} = \dfrac{8}{3} \Omega$

Series Combination:

$\longrightarrow\sf R_{(equivalent)} = R_1 + R_2 +R_3$

$\longrightarrow\sf R_{(equivalent)} = 4 + 4 + \frac{8}{3}$

$\longrightarrow\sf R_{(equivalent)} = 8 + \frac{8}{3}$

$\longrightarrow\sf R_{(equivalent)} = \frac{3 \times 8 + 8}{3}$

$\longrightarrow\sf R_{(equivalent)} = \frac{24 + 8}{3}$

$\longrightarrow\sf R_{(equivalent)} = \frac{32}{3}$

$\longrightarrow\bold{ R_{(equivalent)} = 10.7 \: \Omega}$

Therefore,Equivalent resistance between points A and B is 10.7 ohm.