Question

determine the equivalent resistance of 3 ohm and 6 ohm resistance which are connected in parallel ​

Answer 1

AnsWer :

2 Ohm.

Given :

• R1 = 3 ohm.
• R2 = 6 ohm.

Concepts Required

• Series Combination - Series Combination define as When Resistors follow only one path it said to be Series Combination.
• Ex - Req R1 + R2 + R3 + R4....

• Parallel Combination - Parallel Combination define as When Resistors follow different direction two or more it said to be Parallel Combination.
• Ex - 1/R1 + 1/R2 + 1/R3 + 1/R4...

Solution :

We have

$\tt \dagger \: \: \dfrac{1}{R_{eq}} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} + \dfrac{1}{R_n} ...$

Here,

• Req = Equivalent Resistance.

Now,Putting the given value,

$\tt \longmapsto \dfrac{1}{R_{eq}} = \dfrac{1}{3} + \dfrac{1}{6}$

$\tt \longmapsto \dfrac{1}{R_{eq}} = \dfrac{1 + 2}{6}$

$\tt \longmapsto \dfrac{1}{R_{eq}} = \dfrac{\cancel3}{\cancel6}$

$\tt\longmapsto \dfrac{1}{R_{eq}} = \dfrac{1}{2}$

$\tt\longmapsto R_{eq} = 2\Omega .$

Therefore, Equivalent Resistance in parallel Combination be 2 ohm.