Question

alloy change with increase in temperature ?
(d) Find equivalent resistance between A and B in the following diagrams.
12
20
W
402​

Answer 1

Answer:

Converting the given circuit to the equivalent circuits as shown in figure.

Hence, The equivalent resistance between points A and B is

8

5

(R)

solution

Answer 2

Solution:-

$\to \: \rm R_1 = 12 \Omega \\ \to \: \rm R_2 = \: \: 6 \Omega \\ \to \rm\: R_3 = \: \: 4 \Omega \\ \to \: \rm \: R_4 = \: \: \: 2 \Omega \\ \to \: \rm \: R_5 = \: \: \: 5 \Omega$

So

$\rm \: \implies \: R_1,R_2 \: \: and \: \: R_3 \: \: are \: \: connect \: into \: parallel$

Using this formula

$\boxed{ \rm \dfrac{1}{R_p} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} }$

$\to\rm \dfrac{1}{R_p} = \dfrac{1}{12} + \dfrac{1}{6} + \dfrac{1}{4}$

$\to\rm \dfrac{1}{R_p} = \dfrac{1 + 1 \times 2 + 1 \times 3}{12}$

$\to\rm \dfrac{1}{R_p} = \dfrac{6}{12} = \dfrac{1}{2}$

$\rm \: R_p = 2 \Omega$

Let

$\rm \: R_p = R_6$

So now

$\rm \to R_6 = \: \: \: 2 \Omega \\\to R_4 = \: \: \: 2 \Omega \\ \to \: \rm \: R_5 = \: \: \: 5 \Omega$

Are connected into series

$\boxed{ \rm \: R_e = R_4 + R_5 + R_6}$

$\rm \: R_e = 2 + 5 + 2$

$\rm \: R_e = 9 \Omega$

So equivalent resistance between A and B is

$\rm \: R_e = 9 \Omega$