Question

5 OHMS, 7 OHMS AND 10 OHMS RESISTORS ARE CONNECTED IN PARALLEL. THE EQUIVALENT RESISTANCE OF THIS COMBINATION IS [GREATER] THAN 5 OHMS

Answer 1

Answer:-

• R1=5ohm
• R2=7ohm
• R3=10ohm

We know that

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

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{1}{5}+\dfrac{1}{7}+\dfrac{1}{10}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{14+10+7}{70}$

$\\ \sf\longmapsto \dfrac{1}{R}=\dfrac{31}{70}$

$\\ \sf\longmapsto R=\dfrac{70}{31}$

$\\ \sf\longmapsto R=2.25\Omega$