Current Electricity

JEE Main level, single correct, medium

164 of 380

Question 164 of 380

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the length and radii of the wires are in the ratio of 4/34 / 3 and 2/32 / 3, then the ratio of the currents passing through the wire will be

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Answer: (B) 1/31 / 3

I1I2=R2R1\frac{I_1}{I_2}=\frac{R_2}{R_1}
[current divider rule since voltage is same in parallel]
I1I2=L2L1×r12r22∴I1I2=34×(23)2=13.\begin{aligned} & \frac{I_1}{I_2}=\frac{L_2}{L_1} \times \frac{r_1^2}{r_2^2} \\ & \therefore \frac{I_1}{I_2}=\frac{3}{4} \times\left(\frac{2}{3}\right)^2=\frac{1}{3} . \end{aligned}

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