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In the below circuit, if the three resistor arrangement was to be replaced by a single one resistor, then its resistance should be:

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4 Ω

18 Ω

9 Ω

6 Ω

answer is C.

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Detailed Solution

In the below circuit, if the three resistor arrangement was to be replaced by a single one resistor, then its resistance should be

9 Ω

Given that three resistors are replaced or converted into a single one. This is called equivalent resistance.
Let the equivalent resistor of parallel resistors be

R

\frac{1}{R} = \frac{1}{6} + \frac{1}{6}

1 / R = \frac{1}{3}

= > R = 3 Ω

Let the equivalent resistor of the given circuit is

R_{eq}

. Let

R_{3} = 6 Ω

Now, the resistors

R

and

R_{3}

are in series,

R_{eq} = R + R_{3}

{= > R}_{eq} = 3 + 6

= > R_{eq} = 9 Ω

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