text: ﻿ A series L-C circuit has L = 0.405 H and . The resistance R is zero. Find the frequency of resonance.     : Kaysons Education
  
  # A Series L-C circuit Has L = 0.405 H and . The Resistance R is Zero. Find The Frequency Of Resonance.
  
  #### Video lectures
  
  Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.
  
  #### Online Support
  
  Practice over 30000+ questions starting from basic level to JEE advance level.
  
  #### National Mock Tests
  
  Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.
  
  #### Organized Learning
  
  Proper planning to complete syllabus is the key to get a decent rank in JEE.
  
  #### Test Series/Daily assignments
  
  Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.
  
  ## Question
  
  ### Solution
  
  Correct option is
  
  50 Hz
  
  The natural frequency of the L-C series circuit is given by
  
  The resonance in the circuit occurs when an a.c. voltage of frequency equal to its natural frequency is applied. Thus, the frequency of resonance is 50 Hz.
  
  #### SIMILAR QUESTIONS
  
  Q1
  
  A 20 V-5 W lamp is to run on 200 V-50 Hz a.c. mains. Find the capacitance of a capacitor required to run the lamp.
  
  Q2
  
  An alternating emf of frequency 50 Hz is applied to a series circuit ofresistance , an inductance of 100 mH and a capacitance of . Does the current lag or lead the emf and by what angle?
  
  Q3
  
  capacitor, a 0.10- H inductor and a 25.0- resistor are connected with an a.c. source of emf E = 310 sin 314t. Find the frequency of the emf.
  
  Q4
  
  A 100-V a.c. source of frequency 500 Hz is connected to a series LCRcircuit with L = 8.1 mH. Find the difference across the resistance.
  
  Q5
  
  capacitor, a 0.3-H inductor and a  resistor are connected in series with a 120-60Hz a.c. source. Calculate the impedance of the circuit.
  
  Q6
  
  A circuit containing a 80-mH inductor and a 60- capacitor in series is connected to a 230 V-50 Hz supply. The resistance in the circuit is negligible. Obtain the current amplitude and rms current.
  
  Q7
  
  A series L-C-R circuit having L = 1.5 H,  is connected to a 200-V a.c. supply of variable frequency. When the supply frequency equals the natural frequency of the circuit, find the average power transferred to the circuit in one full cycle.
  
  Q8
  
  An inductor L, a capacitor of  and the resistor of  are connected in series with an a.c. source of frequency 50 Hz. If the current is in phase with the voltage, calculate the inductance of the inductor.
  
  Q9
  
  A capacitor, a  resistor and a 80-mH inductor are in series with a 50-Hz a.c source. Calculate the capacitance if the current is in phase with the voltage.
  
  Q10
  
  In a series L-C-R circuit connected to a variable frequency 220-V source; we have : L = 4.0 H, . Calculate the resonant frequency of the circuit.
metadata: {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}