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In the following star circuit diagram (f...

In the following star circuit diagram (figure), the equivalent resistance between the points A and H will be-

A

1.944 r

B

0.973 r

C

0.486 r

D

0.243 r

Text Solution

Verified by Experts

The correct Answer is:
B

Resistance of CD arm = `2r cos 72^(@) = 0.62 r`
Resistance of CBFC branch `=1/R =1/(2r) + 1/(0.62r) =1/r (2.62)/(2 xx 0.62) = 2.113/r`
`rArr R = 0.47 r`
circuit is symmetrical about the line `DeltaH`
`R_(eq) = (2R + r)/2 = (2 xx 0.47r + r)/2 = (1.94 r)/2 = 0.973 r`
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