Question

what will be the equivalent resstance if two resistances 4 ohm and 6ohm are conected in parallel ?

option:
A) 4.2 ohm
B) 2.04 ohm
C) 2.4 ohm
D)4.0 ohm

Answer 1

Hey there!!

Thank u for your Question,

Let R and R". be the single resistor
they are joined such that , They are in parallel

Given that -
R = 4 ohm

R" = 6 ohm

Equivalent resistance ,
$\frac{1}{r(e)} = \frac{1}{4} + \frac{1}{6} \\ \\ = \frac{3 + 2}{12} \\ = \frac{5}{12} \\ = r(e) = \frac{12}{5} \\ r(e) = 2.4 \: ohm$
Hence (c) 2.4 ohm is the correct answer

Hope this helps u!!