An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii of the wires are in the ratio of $4/3$ and $2/3$, then the ratio of the currents passing through the wire will be
AIEEE 2004, Easy
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(b) $\frac{{{i_1}}}{{{i_2}}} = \frac{{{R_2}}}{{{R_1}}} = \frac{{{l_2}}}{{{l_1}}} \times {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^2} = \frac{3}{4}{\left( {\frac{2}{3}} \right)^2} = \frac{1}{3}$
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