Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

In an LC circuit shown in figure, C = 1F, L = 4H. At time t = 0, charge in the capacitor is 4C and it is decreasing at the rate of 5Cs−1. Choose the correct statement.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

Maximum charge in the capacitor can be 6 C

b

Maximum charge in the capacitor can be 8 C

c

Charge in the capacitor will be maximum after time 3 sin-1 (2/3) s

d

None of these

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Given : dqdt=i=5AAt some time t,⇒qm22C=q22C+12Li2 ⇒qm22=162+1245=18⇒qmax=6Cq=Qcos⁡(ωt+δ)  at t = 0, q = 4⇒ 4=6cos⁡δ ⇒cos⁡δ=23 ⇒δ=cos−1⁡23Charge on the capacitor is maximum at t = t1 for this ωt1+δ=π⇒ t1=1ω(π−δ)=LC(π−δ)=2π−cos−1⁡23
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring
In an LC circuit shown in figure, C = 1F, L = 4H. At time t = 0, charge in the capacitor is 4C and it is decreasing at the rate of 5Cs−1. Choose the correct statement.