Question

How can three resistors of resistance 2ohm,3ohm and 6 ohm be connected to give a total resistance of (a) 4 (b) 1

Answer 1

For getting equivalent resistance of 1ohm try connecting all of them in parallel. whereas for 4 ohm resistance try connect 3 ohm and 6 ohm resistance in parallel and 2 ohm in series with them.

Answer 2

Given that.

Resistance, $R_1=2\ \Omega$

Resistance, $R_2=3\ \Omega$

Resistance, $R_3=6\ \Omega$

To find,

How to connect three resistors so that total resistance becomes 4 ohms and 1 ohms.

Solution,

For 4 ohms

Firstly, we connect 3 ohm and 6 ohm in parallel. So,

$\dfrac{1}{R'}=\dfrac{1}{6}+\dfrac{1}{3}\\\\R'=2\ \Omega$

Now connect 2 ohm resistance with R'. So,

$R_{eq}=2+2=4\ \Omega$

For 1 ohm

Connect 2 ohms, 3 ohms and 6 ohms resistors in parallel. Then,

$\dfrac{1}{R_{eq}}=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\\\\R_{eq}=1\ \Omega$

Learn more,

Combination of resistors

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