Question

Three resistors, of 100, 200, and 300 ohms are connected in parallel. What is their equivalent resistance?

(Unit = ohms)

Answer 1

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

Answer 2

Equivalent resistance is 54.55Ω.

It is given that three resistors are,

$R_{1}$ = 100Ω, $R_{2}$ = 200Ω, and $R_{3}$ =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,

$\frac{1}{R} =\frac{1}{R_{1} } +\frac{1}{R_{2} }+\frac{1}{R_{3} }$

Putting the values, we have

$\frac{1}{R} =\frac{1}{100} } +\frac{1}{200 }+\frac{1}{300 }$

$\frac{1}{R} =\frac{(6+3+2)}{600}$

$\frac{1}{R} =\frac{11}{600}$

$R=\frac{600}{11}$

R=54.55Ω

 

Thus, equivalent resistance or total resistance when resistance are connected in parallel is 54.55Ω.

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