Question

Three resistors of resistances 1Ω, 2Ω and 3Ω are connected in parallel. What is the equivalent resistance of this parallel combination?

Answer 1

Answer:-

• Three resistances are connected in parallel.
• R1=1ohm
• R2=2ohms
• R3=3ohms

We know that

$\boxed{\sf \dfrac{1}{R_{(Equivalent)}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}}$

$\\ \:\:\:\:\:\:\tt\longmapsto \dfrac{1}{R_{(Equivalent)}}=\dfrac{1}{1}+\dfrac{1}{2}+\dfrac{1}{3}$

$\\ \:\:\:\:\:\:\tt\longmapsto \dfrac{1}{R_{(Equivalent)}}=\dfrac{6+3+2}{6}$

$\\ \:\:\:\:\:\:\tt\longmapsto \dfrac{1}{R_{(Equivalent)}}=\dfrac{11}{6}$

$\\ \:\:\:\:\:\:\tt\longmapsto R_{(Equivalent)}=\dfrac{6}{11}$

$\\ \:\:\:\:\:\:\tt\longmapsto R_{(Equivalent)}=0.5\Omega$