An electric current passes through a circuit containing two wires of the same material connected in parallel. If the lengths of the wires are in the ratio
and radius of the wires are in the ratio
, then the ratio of the current passing through the wires is
, where m and n are smallest integers. What is
?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(4)
Given that,

Here,
and
are the length of the wires while
and
are the radii of the wires.
Now, we know that
constant

or
… ..(i)
But we know that the resistance of the wire is

Hence, from Eq (i)

Here,

Because both wires are of same material.



Here,
and 



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