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An electric current of 5A is passing thr...

An electric current of 5A is passing through a circuit containing three wires arranged in parallel. If the lengths and radii of the wires are in the ratio 2:3:4 and 3:4:5, then the ratio of currents passing through wires would be

A

54 : 64 : 75

B

0.38640046296296

C

0.17310185185185

D

0.12928240740741

Text Solution

Verified by Experts

The correct Answer is:
A
`R= (p^(varphi))/(A),R_(1),R_(2):R_(3)=(2)/(9):(3)/(16):(4)/(25)`
As the wires are connected in parallel `Iprop1//RI_(1):I_(2):I_(3)=9//2:16:3:25: 4 = 54 : 64 : 75` therefore Hence (A) is correct
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