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
In the circuit shown below, the ac source has voltage $V=20 \cos (\omega t)$ volts with $\omega=2000 \mathrm{rad} / \mathrm{sec}$. the amplitude of the current will be nearest to

PhysicsAlternating CurrentJEE Main
Options:
  • A $2 A$
  • B $3.3A$
  • C $2 / \sqrt{5} A$
  • D $2.8 A$
Solution:
2712 Upvotes Verified Answer
The correct answer is: $2 A$
$\begin{aligned} & R=6+4=10 \Omega \\ & X_L=\omega L=2000 \times 5 \times 10^{-3}=10 \Omega \\ & X_C=\frac{1}{\omega C}=\frac{1}{2000 \times 50 \times 10^{-6}}=10 \Omega \\ & \therefore Z=\sqrt{R^2+\left(X_L-X_C\right)^2}=10 \Omega \\ & \text { Amplitude of current }=i_0=\frac{V_0}{Z}=\frac{20}{10}=2 \mathrm{~A}\end{aligned}$

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.