+2 votes
in JEE by kratos

A wire of resistance 2 ohms per meter is bent to form a circle of radius 1m. The equivalent resistance between its two diametricaly opposite points is

1 Answer

+2 votes
by kratos
 
Best answer

When a resistance is bent in a circle, the resistors are are connected in parallel.

Each of the resistors (the 2 parallel resistors of the circle) have a resistance of 2 ohms.

So we get the following-

Req = R1 x R2 / R1R2 (where Req is equivalent resistance in parallel connections)

OR

1/Rp =1/R1 + 1/R2 ( where Rp is resistance in parallel )

1/Rp = 1/2 + 1/2

1/Rp = 2/2

1/Rp = 1

Rp = 1 ohm.

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