Question

How can you connect three 3ohm resistor with a 2 ohm resistor to get
Net resistance 1 ohm

Answer 1

Hi mate.

Thanks for asking this question.

Here is your answer,




#The arrangement of circuit is as follows,


The two 3 ohm resistance are connected in series and other 3 ohm resistance are connected in parallel with it.
And then also 2 ohm are connected in parallel with the connection as shown in the figure.


$rs = 3 + 3$
$rs = 6 \: ohm$


$\frac{1}{rp} = \frac{1}{rs} + \frac{1}{3}$
$\frac{1}{rp} = \frac{1}{6} + \frac{1}{3}$
$\frac{1}{rp} = \frac{1}{2}$
$rp = 2 \: ohm$


Then,


$\frac{1}{rt} = \frac{1}{rp} + \frac{1}{2}$

$\frac{1}{rt} = \frac{1}{2} + \frac{1}{2}$

$\frac{1}{rt} = 1$

$rt = 1 \: ohm$








Thank you.



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