Question

Four wires of same material and same diameter, have lengths in the ratio 1 : 2 : 3 : 4. These wires are connected in parallel. If a battery is connected across this combination, then the currents in the wires will be in the ratio –

• A. 4 : 3 : 2 : 1
• B. 1 : 2 : 3 : 4
• C. 12 : 6 : 4 : 3
• D. None of these

Answer 1

Answer: (C)

12 : 6 : 4 : 3

Answer 2

I ∝ $\frac{1}{R}$ ∝ $\frac{1}{\mathcal{l}}$

I₁ : I₂ : I₃ : I₄ = $\frac{1}{1}$ : $\frac{1}{2}$ : $\frac{1}{3}$ : $\frac{1}{4}$ = 12 : 6 : 4 : 3