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Is it true that we have to connect 2 $Ω$ resistor and $3 Ω$ resistors in series and $5 Ω$ resistor in parallel with them to get a resultant resistance of $2.5 Ω$ ?

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True

False

answer is A.

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Detailed Solution

The given statement is true.
The equivalent resistance of

2 Ω

and

3 Ω

resistance will be:

R_{s} = 2 + 3

R_{s} = 5 Ω

Since

5 Ω

resistor is connected with

R_{s}

in parallel combination, then the equivalent resistance of all the resistors will be:

R = \frac{(5) (R_{s})}{5 + R_{s}}

R = \frac{(5) (5)}{5 + 5}

R = 2.5

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