Question

Numerical : Four resistors of 2 ohm each are joined end to end to form a square ABCD

  • Current Electricity
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Answer

Question

Four resistors of 2 Ω each are joined end to end to form a square ABCD. Calculate the equivalent resistance of the combination between any two adjacent corners.

Answer

current electricity

The equivalent resistance of the series combination of BC, CD, and AD can be calculated by simply adding the resistances:

Req = BC + CD + AD = 2 Ω + 2 Ω + 2 Ω = 6 Ω

Now, we can use the formula for resistors in parallel to find the equivalent resistance between corners A and B:

1/Req = 1/2 + 1/6 = 4/6 Ω

Req = 3/2 Ω = 1.5 Ω

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