Question

A combination consists of three resistors in series. Four similar sets are connected in parallel. If the resistance of each resistor is 2 ohm, find the resistance of the combination.

Answer 1

For diagram,
Refer to the attachment above.

So,
Reciprocal of Resistance of combination
$= \frac{1}{R1 +R2 +R3} + \frac{1}{R4 +R5 +R6} + \frac{1}{R7 +R8 +R9}$
As R1 = R2=R3=R4=R5=R6=R7=R8=R9=2ohm
$= > \frac{1}{R}$
$= (\frac{1}{R1 +R2 +R3}) \times 3 \\ = (\frac{1}{2 + 2 + 2}) \times 3 \\ = \frac{1}{6} \times 3 \\ = \frac{1}{2}ohm.$

So,
$= >R = 2ohm.$


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Answer 2

Answer: 1.5ohm

Explanation:

A combination consists of three resistors in series. Four similar sets are connected in parallel.