Three identical resistors with resistance R =12 $Ω$ and two identical inductors with self inductance L =5 mH are connected to an ideal battery with emf of 12 V as shown in figure . The current through the battery long after the switch has been closed will be _______A.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is 3.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

After a long time when steady state is attained, the inductors will not have any resistance.

So the combination will act like three resistors connected in parallel combination

$R_{eff} = \frac{12}{3} = 4 Ω$
$i = \frac{V}{R_{eff}} = \frac{12}{4} = 3 A$

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE