Answer:
Equivalent resistanfe in parallel (R):
1/R = 1/100 + 1/200 + 1/300
1/R = (6 + 3 + 2)/600
1/R = 11/600
R = 600/11 = 54.55 ohms
Equivalent resistance is 54.55Ω.
It is given that three resistors are,
[tex]R_{1}[/tex] = 100Ω, [tex]R_{2}[/tex] = 200Ω, and [tex]R_{3}[/tex] =300Ω
It is required to find the equivalent resistance when resistors connected in parallel.
What is the equivalent resistance?
As we know, when the resistors are connected in parallel,
[tex]\frac{1}{R} =\frac{1}{R_{1} } +\frac{1}{R_{2} }+\frac{1}{R_{3} }[/tex]
Putting the values, we have
[tex]\frac{1}{R} =\frac{1}{100} } +\frac{1}{200 }+\frac{1}{300 }[/tex]
[tex]\frac{1}{R} =\frac{(6+3+2)}{600}[/tex]
[tex]\frac{1}{R} =\frac{11}{600}[/tex]
[tex]R=\frac{600}{11}[/tex]
R=54.55Ω
Thus, equivalent resistance or total resistance when resistance are connected in parallel is 54.55Ω.
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