Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/JEE/Physics

Draw LC circuit and calcilate impedence associated with it

 

Asked by dawarsonali783 15th May 2021, 5:34 PM
Answered by Expert
Answer:
Figure shows the series and parallel circuit of Inductor and capacitor .
 
Impedance Zs in Series circuit is calculated as follows
 
begin mathsize 14px style Z subscript s space equals space Z subscript L space plus space Z subscript C space equals space j space left parenthesis L omega space right parenthesis space plus space fraction numerator 1 over denominator j space left parenthesis space C space omega space right parenthesis end fraction space equals space j space left parenthesis L omega space right parenthesis space plus space fraction numerator j over denominator j squared space left parenthesis space C space omega space right parenthesis end fraction space equals space j open parentheses L omega space minus space fraction numerator 1 over denominator C space omega end fraction close parentheses end style .............(1)
Where ZL is impedance of inductor,   ZC is impedance of capacitor and 
ω  is the angular frequency of applied alternating voltage in the circuit
 
Hence from eqn.(1) , we get impedance Zs of series circuit , begin mathsize 14px style Z subscript s space equals space L space omega space minus space fraction numerator 1 over denominator C space omega end fraction end style
--------------------------------------------
 
Impedance Zp in Parallel circuit is calculated as follows
 
begin mathsize 14px style Z subscript p space equals space fraction numerator Z subscript L space Z subscript C over denominator Z subscript L plus Z subscript C end fraction space equals space fraction numerator left parenthesis space j space L space omega space right parenthesis space open parentheses begin display style fraction numerator 1 over denominator j space C space omega end fraction end style close parentheses space over denominator left parenthesis space j space L space omega space right parenthesis space plus space open parentheses begin display style fraction numerator 1 over denominator j space C space omega end fraction end style close parentheses end fraction space equals space fraction numerator j space L space omega over denominator 1 space minus space omega squared space L C end fraction space equals space fraction numerator j space L space omega over denominator 1 space minus space open parentheses omega squared over omega subscript o squared close parentheses end fraction end style........................ (2)
Where begin mathsize 14px style omega subscript o space equals space fraction numerator 1 over denominator square root of L space C end root end fraction end style is the resonant frequency of LC circuit
Hence from eqn.(2) , we get impedance Zp of parallel circuit , begin mathsize 14px style Z subscript p space equals space fraction numerator space L space omega over denominator 1 space minus space omega squared space L C end fraction space equals space fraction numerator space L space omega over denominator 1 space minus space open parentheses omega squared over omega subscript o squared close parentheses end fraction end style


Answered by Expert 15th May 2021, 9:28 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Tags: impedance
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

A coil draws a current of 1.0 ampere and a power of 100 watt from an A.C. source of 110 volt and 5√22/π hertz. Find the inductance and resistance of the coil.   Why can't I use P=VI here, and how can I determine when to use P=VI or P=I^2 R or P=V^2 / R
10th June 2021, 7:13 PM
Explain in detail.. thanks !
18th May 2021, 3:47 PM
A particle started moving in a straight line.Its acceleration at time t seconds is given by a=(-5t^(2)+5)m/s^(2) t>=0 .Find the time for its maximum velocity and maximum velocity of the particle v(max)?
24th May 2021, 5:04 PM
an electron enters a region with velocity v=4i + 6j m/s where an electric field where i= 2i + 3j +6k and magnetic field 2i + 3j t are present what is the magnitude of force experience by electron
27th May 2021, 11:13 AM
In the circuit shown in fig ,the reading of ammeter A is  
28th May 2021, 4:17 PM
RELATED STUDY RESOURCES :
JEE QUESTION ANSWERS

Browse free questions and answers by Chapters

Trending Tags

speed acceleration photosynthesis velocity parallel lines resistance concave mirror average speed atom pressure

Latest Questions

CBSE X Biology
What is enzyme  
Asked by Sureshgowdayd548 28th October 2020, 10:50 PM
JEE Main Mathematics
The following pseudocode is executed using the “Paragraph words” dataset. At the end of the execution, CountB captures the number of verbs with letter count less than the average letter count of verbs. But the pseudocode may have mistakes in one or more lines. Identify all such lines (if any). It is a Multiple Select Question (MSQ).  Error in Line 4  Error in Line 8  Error in Line 11  Error at Line 12  Error in Line 17  Error at Line 18  Error in Line 21 The following pseudocode is executed using the “Words” table. What will be the value of A at the end of the execution?
Asked by amaladelsingh 28th October 2020, 10:24 PM
CBSE X Biology
I want a brief clarity on Taxonomy
Asked by reenacharan2008 28th October 2020, 9:11 PM

Chat with us on WhatsApp