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Answer:
d. 0.88 × 10^(-4) ohm
Explanation:
radius = r = 2/2 = 1 m
length of both arc AB = πr = π m
length of dia AB = 2r = 2 m
resistance = 10^(-4) ohm per meter
R = 10^(-4)
so, resistance of both arc AB = πR ohm
and, resistance of dia AB = 2R ohm
since, these arc and dia are in parallel,
eq. resistance of two arc AB = πR/2 ohm
so, eq. resistance of whole system,
eq. R = {(πR/2) × 2R}/{(πR/2) + 2R)
= 2(πR × R )/(π + 4)R
= 2πR / (π + 4)
= {2 × 3.14 × 10^(-4) }/ (3.14 + 4)
= 0.88 R
= 0.88 × 10^(-4) ohm
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