Two inductors L1 (inductance 1 mH, internal resistance 3Ω) and L2 (inductance 2 mH, internal resistance 4Ω), and a resistor R (resistance 12Ω) are all connected in parallel across a 5V battery. The circuit is switched on at time t = 0. The ratio of the maximum to the minimum current (Imax / Imin) drawn from the battery is

Engineering

Physics

LR Circuit Growth and Decay of Current

Question

Two inductors L₁ (inductance 1 mH, internal resistance 3Ω) and L₂ (inductance 2 mH, internal resistance 4Ω), and a resistor R (resistance 12Ω) are all connected in parallel across a 5V battery. The circuit is switched on at time t = 0. The ratio of the maximum to the minimum current (I_max / I_min) drawn from the battery is

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$\frac{1}{R_{net}} = \frac{1}{12} + \frac{1}{4} + \frac{1}{3}$

$R_{net} = \frac{3}{2} Ω$

$I_{max} = \frac{5 \times 2}{3} = \frac{10}{3}$

$I_{min} = \frac{5}{12}$

$\frac{I_{\max}}{I_{\min}} = 8$