Question

Judge the equivalent resistance when following are connected in parallel 1Ω, 108Ω and 106 Ω.​

Answer 1

• R_1=1ohm
• R_2=108ohm
• R_3=106ohm

We know

$\boxed{\sf \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\dots}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{1}{1}+\dfrac{1}{108}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{5724+53+54}{5724}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{5831}{5731}$

$\\ \sf\longmapsto R=\dfrac{5724}{5831}$

$\\ \sf\longmapsto R=0.9\Omega$