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JEE Main 202229 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2022 · 29 July · Evening Shift · Physics · Alternating Current

A capacitor of capacitance 500 is charged completely using a de...

A capacitor of capacitance 500\muF500\muF is charged completely using a de supply of 100V100V. It is now connected to an inductor of inductance 50mH50mH to form an LC circuit. The maximum current in LC circuit will be _____ AA.

Correct answer

0

Step-by-step solution

Energy stored in capacitor

E=12CV2=12500×10−6×104E = \dfrac{1}{2}C{V}^{2} = \dfrac{1}{2}500 \times {10}^{- 6} \times {10}^{4}

⇒E=52J⇒ E = \dfrac{5}{2}J

Current will be maximum when whole energy of capacitor becomes energy of inductor.

⇒12LI2=52⇒ \dfrac{1}{2}L{I}^{2} = \dfrac{5}{2}

⇒I=5L=550×10−3=10A⇒ I = \sqrt{\dfrac{5}{L}} = \sqrt{\dfrac{5}{50 \times {10}^{- 3}}} = 10A

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