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

Question

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, 3, 8 / 9, 2, 1 / 3

MARKS App · Accepted Answer

V = I 1 R 1 = I 1 ρ ℓ 1 π r 1 2 V = I 2 R 2 = I 2 ρ ℓ 1 π r 2 2 ⇒ I 1 R 1 = I 2 R 2 ⇒ I 1 I 2 = R 2 R 1 = ρ ℓ 2 π r 2 2 × π r 1 2 ρ ℓ 1 = ℓ 2 ℓ 1 r 1 r 2 2 = 3 4 × 2 3 2 = 1 3

Search any question & find its solution

Looking for more such questions to practice?