Question

Three 2 ohm resistor A,B,C are connected in such a way that the total resistance of the combination is 3 ohm . Show the arrangement of the three resistors and justify your answer.

Answer 1

Answer:

Connect two resistors in parallel and one resistor in series with them.

Explanation:

Connect two resistors in parallel

1/2 + 1/2 = 1/1

(Reciprocating)

=1

Connect 1 resistor in series with the parallel

2+1=3

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Answer 2

Answer:

Two in parallel one in series.

Explanation:

As two resistors in parallel will have equivalent resistance of '1' :

1/r(eq) =1/2 + 1/2

r(equivalent) = 1 ohm

And next we add the third resistor in series, when in series resistors are simply added, therefore:

1 ohm (obtained earlier) + 2 ohm (third resistor) = 3 ohm !