Download the app

Questions  

In the circuit shown in figure, switch S is closed at time t = 0. find the current through the cell at any time t.

 

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
V9R+VRetCR
b
V9R+V27Ret3RC
c
4V27RetCR
d
VR+V27Ret3RC

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

Current in the branch of capacitor at any instant is IC=dqdt=CV3et/3RC13RC=V9Ret/3RC

Let I be the current through the cell at any instant ‘t’.

 Applying KVL to the loop ABEFA,

 I(6R)+Ic(R)+qCV=0

I(6R)+V9Ret/3RC(R)+1C×CV31et/3RCV=0

I(6R)=V119et/3RC131et/3RC

I=V6R113+et/3RC1319

I=V6R23+29et/3RC=V9R+V27Ret3RC

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace


test your sad image
knowledge
rocket icon 5 Questionscheck how much you know about a topic
clock icon 5 minsstand a chance to win up-to 100% scholarships
child image


phone icon
whats app icon