Question

You have two metalice wire of resistance 6 ohm and 3 ohm how will you connect these wire to get effective resistance of 2 ohm draw a diagram

Answer 1

$\bigstar$ Given :

We have two metallic wire of resistance 6 Ω and 3 Ω

$\bigstar$ To Find :

How will you connect these wire to get effective resistance of 2 ohm

$\bigstar$ Solution :

We can connect these metallic wires in two ways

1 ) In Series

When , R₁ , R₂ , R₃ ,.... are connected in series .

$\bf R_{eq}=R_1+R_2+R_3+...\\\\\implies \bf R_{eq}=6+3\\\\\implies \bf R_{eq}=9\ \Omega$

2 ) In Parallel

When , R₁ , R₂ , R₃ ,.... are connected in parallel

$\bf \dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}+...\\\\\implies \bf \dfrac{1}{R_{eq}}=\dfrac{1}{6}+\dfrac{1}{3}\\\\\implies \bf \dfrac{1}{R_{eq}}=\dfrac{9}{18}\\\\\implies \bf R_{eq}=2\ \Omega$

So , when we connect 6 Ω & 3 Ω in parallel we can get equivalent resistance of 2 Ω