Question

two resistance 1 ohm and 2 ohm are connect in parallel . the equivalent resistance of the combination is equal to

Answer 1

see the attachment .

Answer 2

The equivalent resistance is given by :

$R_{eq}=0.667\ \Omega$

Explanation:

`Let $R_1\ and\ R_2$ are the resistances of two resistors that are connected in parallel. We need to find the equivalent resistance of the combination. We know that in parallel combination of resistors, the voltage across each resistor remains the same while the electric current divides.

Here, $R_1=1\ \Omega$

$R_2=2\ \Omega$

The equivalent resistance is given by :

$\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}$

$\dfrac{1}{R_{eq}}=\dfrac{1}{1}+\dfrac{1}{2}$

$R_{eq}=0.667\ \Omega$

Hence, this is the required solution.

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