Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
An inductor $(L=100 \mathrm{mH})$, a resistor $(R=100 \Omega)$ and a battery $(E=100 \mathrm{~V})$ are initially connected in series as shown in the figure. After a long time the battery is disconnected after short circuiting the points $A$ and $B$. The current in the circuit $1 \mathrm{~mm}$ after the circuit is

PhysicsAlternating CurrentJEE MainJEE Main 2006
Options:
  • A
    $1 \mathrm{~A}$
  • B
    $1 / \mathrm{e} \mathrm{A}$
  • C
    $e \mathrm{~A}$
  • D
    $0.1 \mathrm{~A}$
Solution:
2218 Upvotes Verified Answer
The correct answer is:
$1 / \mathrm{e} \mathrm{A}$
$\mathrm{I}=\mathrm{I}_0 \mathrm{e}^{-\mathrm{Rt} / \mathrm{L}}=\frac{1}{\mathrm{e}} \mathrm{A}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.