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Find the resistance between two diametr...

Find the resistance between two diametrically' opposite points A and B of á wire of resistance `12 Omega m^(-1)` bent in form of a circle of radius 10 cm:

A

`3 Omega`

B

`0.6 pi Omega`

C

`0.3 Omega`

D

`6 pi Omega`

Text Solution

Verified by Experts

The correct Answer is:
B
`0.6 pi Omega`
Total Resistance `=12Omega xx 2 pi xx 10 ^(-1)`
`= 2.4 pi`
Resistance of each half `= 1.2 pi`
and as about diameter both parts are in parallel `R _(eq) = (1.2pi)/(2) = 0.6 pi Omega`
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