Question

Two resistors having resistance 4 ohm and 6 ohm are connected in parallel , find their equivalent resistance

Answer 1

Answer:

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Answer 2

Answer:

Equivalent Resistance = 2.4 $\Omega$

Explanation:

Given that :

• Two resistors having the resistances 4 $\Omega$ and 6$\Omega$ are connected in parallel.

To find :

• Their equivalent resistances.

Solution:

We know that,

When two or more resistors are connected in parallel, then their equivalent resistance is denoted be Rₚ :

$\implies \sf \frac{1}{R_{p} } = \frac{1}{R_{1} } + \frac{1}{R_{2}} \\ \\ \implies \sf \frac{1}{R_{p} } = \frac{1}{4} + \frac{1}{6} \\ \\ \implies \sf \frac{1}{R_{p} } = \frac{3 + 2}{12} \\ \\ \implies \sf \frac{1}{R_{p} } = \frac{5}{12} \\ \\ \implies \sf R_{p} = \frac{12}{5} \\ \\ \boxed{ \red{ \bf \therefore \: R_{p} = 2.4 \: \Omega }}$

Hence, the equivalent resistance of the combination is 2.4 $\bf \Omega$.