Question

Four resistors of resistance 1 Ohm, 2 Ohm, 3 Ohm and 4 Ohm are connected in parallel. The equivalent resistance will be

Answer 1

Answer:-

• R1=1ohm
• R2=2ohm
• R3=3ohm
• R4=4ohm

We know that

$\boxed{\sf \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}+\dfrac{1}{R_4}}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{1}{1}+\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{12+6+4+3}{12}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{25}{12}$

$\\ \sf\longmapsto R=\dfrac{12}{25}$

$\\ \sf\longmapsto R=0.48\Omega$