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An electric current is passed through a circuit containing two wires of the same material, connected in parallel. The lengths of the wires are in the ratio of 4:3 and radii of the wires are in the ratio of 2:3 . Find the ratio of the currents passing through the wires. |
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Answer» Solution :`1_1 : 1_2 = 4:3 , r_1 :r_2 = 2:3` We know that that `R PROP l/(r^2)` `(R_1)/(R_2) = (l_1)/(l_2) xx (r_2^2)/(r_1^2) = 4/3 xx 9/4 = 3/2` SINCE CONNECTED is parallel , current is INVERSELY proportional to resistance ` i prop 1/R implies(i_1)/(i_2) = (R_2)/(R_1) =1/3` |
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