The frequencies at which the current amplitude in an LCR series circuit becomes 1 2  times its maximum value, are 212 rad s-1 and 232 rad-1. The value of resistance in the circuit is R = 5 Ω .  The self inductance in the circuit is_________mH.

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    2 months ago

      i = l 0 2  at ω 1  = 212 rad/s R = 5 Ω

      ω 2 = 232 rad/s Δ ω = ω 2 ω 1 = 2 0 r a d / s

    P = P m a x 2 a t ω 1 a n d ω 2

    So, Δ ω = ω 2 ω 1 = R L

    L = R Δ ω = 5 2 0 = . 2 5 H

    = 250 mH

Similar Questions for you

V
Vishal Baghel

At resonance VL = VC

c o s ? = V R V R 2 + ( V L V C ) 2 = 1

V
Vishal Baghel

X C = 1 ω C

On increasing ω  XC decreases so Z decreases, current in circuit increases.

V
Vishal Baghel

H D . C . H A . C . = I 2 R I r m s 2 R = 1

V
Vishal Baghel

E = V R 2 + ( V L V C ) 2

E = ( 6 0 ) 2 + ( 1 0 0 2 0 ) 2

E = 100V

V
Vishal Baghel

R = 2 Ω

L = 2 mH

E = 9V

i = ε 2 R = 9 v 4 Ω = 2 . 2 5 A

Just after the switch ‘S’ is closed, the inductor acts as open circuit.

Get authentic answers from experts, students and alumni that you won't find anywhere else

Sign Up on Shiksha

On Shiksha, get access to

  • 65k Colleges
  • 1.2k Exams
  • 688k Reviews
  • 1800k Answers

Learn more about...

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

or

Ask Current Students, Alumni & our Experts

×

This website uses Cookies and related technologies for the site to function correctly and securely, improve & personalise your browsing experience, analyse traffic, and support our marketing efforts and serve the Core Purpose. By continuing to browse the site, you agree to Privacy Policy and Cookie Policy.

Need guidance on career and education? Ask our experts

Characters 0/140

The Answer must contain atleast 20 characters.

Add more details

Characters 0/300

The Answer must contain atleast 20 characters.

Keep it short & simple. Type complete word. Avoid abusive language. Next

Your Question

Edit

Add relevant tags to get quick responses. Cancel Post