Question

if 2 phm 3 ohm 4 ohm 5 ohm resistors are connected in parallel. What is the effective resistance
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Answer 1

• R1=2 Ω
• R2 = 3 Ω
• R3 = 4 Ω
• R4 = 5 Ω

${\boxed{\sf\dfrac{1}{R_p}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}+\dfrac{1}{R4}}}$

$\sf\longrightarrow\dfrac{1}{R_p} = \dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}$

$\sf\longrightarrow\dfrac{1}{R_p} =\dfrac{30+20+15+12}{60}$

$\sf\longrightarrow\dfrac{1}{R_p}=\dfrac{77}{60}$

$\sf\longrightarrow R_p=\dfrac{60}{77}$

$\sf\longrightarrow R_p=0.77\;\Omega$