# a collection of two 2 ohm , one 3 ohm and one 4 ohm resistors are provided. connect them in a suitable order to get an effective resistance of 2 ohm. support your answer with suitable calculations.

The two 2 ohm resistors must be connected in parallel, so that their equivalent resistance is

$R\text{'}=\frac{2\times 2}{2+2}=1\Omega $

This combination must be connected in series with the 3 ohm resistor so that their effective resistance is

$R\text{'}\text{'}=R\text{'}+3=1+3=4\Omega $

Finally this combination of 3 resistors must be connected in parallel to the 4 ohm resistor such that the equivalent resistor becomes

${R}_{eq}=\frac{R\text{'}\text{'}\times 4}{R\text{'}\text{'}+4}=\frac{4\times 4}{4+4}=2\Omega $

Regards

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