Question

Connect 3 resistors of 4 ohm each so as to obtain an equivalent resistance of 6ohm

Answer 1

Connect 2 resistor in series combination with 3rd resistor as a parallel combination ie.

Req= (6+6)||6 = 12||6=72/18=4 ohm

Answer 2

Given that,

Three resistors of 4 ohm each.

To proof,

The equivalent resistance is 6 ohm.

Solution,

Firstly lets connect two resistors of 4 ohms in parallel such that the equivalent is given by :

$\dfrac{1}{R_p}=\dfrac{1}{4}+\dfrac{1}{4}\\\\R_p=2\ \Omega$

Now lets connect $R_p\ and\ 4\ \Omega$ in series such that the equivalent is given by :

$R_s=R_p+4\\\\R_s=2+4\\\\R_s=6\ \Omega$

Hence, the equivalent is 6 ohms.

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Combination of resistors

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