Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

A capacitor of capacitance $500 \mu \mathrm{F}$ is charged completely using a dc supply of $100 \mathrm{V}$ . It is now connected to an inductor of inductance $50 \mathrm{mH}$ to form an $\mathrm{LC}$ circuit. The maximum current in $\mathrm{LC}$ circuit will be__________ $\mathrm{A}$ .
Option: 1
10

Option: 2
-

Option: 3
-

Option: 4
-

Answers (1)

best_answer

$\mathrm{C=500\mu F}$

$\mathrm{v=100v}$

$\mathrm{L=50mH}$

The potential drop capacitor at steady state is $\mathrm{100v}$

$\mathrm{t=0}$

$\mathrm{\left(U_{\text {max }}\right)_{\text {capacitor }}=\left(U_{\text {max }}\right)_{\text {Inductor }}}$

$\mathrm{\frac{1}{2} C V^2=\frac{1}{2} L I_0{ }^2}$

$\mathrm{I_0=\sqrt{\frac{C}{L}} \: V}$

$\mathrm{\text { Maximum\: current }=I_0 = \sqrt{\frac{500 \times 10^{-6}}{50 \times 10^{-3}}} \times 100}$

$\mathrm{I_{0}=10 \mathrm{~A}}$

Posted by

Sanket Gandhi

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

5 g of Na₂SO₄ was dissolved in x g of H₂O. The change in freezing point was found to be 3.82⁰C. If Na₂SO₄ is 81.5% ionised, the value of x (K

A capacitor is made of two square plates each of side 'a' making a very small angle $\alpha$

A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO₃ to give fraction A. The leftover organic phase was extracted with d

Trending Articles/News

anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile

anam-khan

Low JEE Main rank? Explore alternative paths for engineering admission

anam-khan

Gender-gap in JEE Main 2025: Female participation remains around 31%, overall pool drops by 7.09%

Latest Question