Resonance is a phenomenon that occurs when the matching vibrations of another system increase the amplitude of a given system’s oscillations. Electrical resonance occurs in a circuit when the inductive reactance and the capacitive reactance become equal in magnitude. In this article, let us discuss the sharpness of resonance in an Ac circuit.
- What is Resonance?
- What is Sharpness of Resonance?
- What is Q Factor?
- How does Sharpness of Resonance depend on Damping?
- What is Q Factor of Coil?
- What is Q Factor of RLC Circuit?
- Frequently Asked Questions – FAQs
What is Resonance?
The sharpness of resonance can be understood better by understanding resonance. Resonance is defined as the tendency of a system to vibrate with an increase in amplitude at the excitation of frequencies. Resonance frequency or resonant frequency is the maximum frequency at which the amplitude is relatively maximum. The Q factor is used to define the sharpness of the resonance.
What is Sharpness of Resonance?
The sharpness of resonance is defined using the Q factor which explains how fast energy decay in an oscillating system. The sharpness of resonance depends upon:
- Damping: Effect due to which there is a reduction in amplitude of vibrations.
- Amplitude: Maximum displacement of a point on a vibrating body which is measured from its equilibrium position.
The sharpness of resonance increases or decreases with an increase or decrease in damping and as the amplitude increases, the sharpness of resonance decreases.
What is Q Factor?
Q factor or quality factor is a dimensionless parameter that is used to describe the underdamped resonator and characterizes the bandwidth and centre frequency of the resonator.
The mathematical representation is:
Q = Estored/Elost per cycle
The Q factor of an RF resonant circuit is given as:
\(\begin{array}{l}Q=\frac{F_{0}}{F_{3dB}}\end{array} \)
How does Sharpness of Resonance depend on Damping?
The sharpness of resonance increases with an increase in damping and decreases with a decrease in damping.
What is Q Factor of Coil?
Q factor for a coil is defined for a given frequency as the ratio of inductance L to the resistance R of a coil.
\(\begin{array}{l}Q=\frac{\omega L}{R}\end{array} \)
What is Q Factor of RLC Circuit?
Q factor in a series circuit is:
\(\begin{array}{l}Q=\frac{1}{R}\sqrt{\frac{L}{C}}=\frac{\omega _{0}L}{R}=\frac{1}{\omega _{0}RC}\end{array} \)
Where,
R: resistance
L: inductance
C: capacitance
Q factor in a parallel circuit is:
\(\begin{array}{l}Q=R\sqrt{\frac{C}{L}}=\frac{R}{\omega _{0}L}={\omega _{0}RC}\end{array} \)
Where,
RLC are in parallel.
Stay tuned with BYJU’S to learn more about other Physics related concepts.
Related Physics Articles:
| Forced Oscillation And Resonance | Difference Between Series and Parallel Circuits |
| Types of Circuits | Resistors In Series And Parallel Combinations |
Frequently Asked Questions – FAQs
Q1
What is resonance?
Resonance is defined as the tendency of a system to vibrate with an increase in amplitude at the excitation of frequencies.
Q2
Define resonant frequency.
Resonance frequency or resonant frequency is the maximum frequency at which the amplitude is relatively maximum.
Q3
What is the sharpness of resonance?
The sharpness of resonance is defined using the Q factor which explains how fast energy decay in an oscillating system is. The sharpness of resonance depends upon:
- Damping: Effect due to which there is a reduction in amplitude of vibrations.
- Amplitude: Maximum displacement of a point on a vibrating body which is measured from its equilibrium position.
Q4
What is the Q factor?
Q factor or quality factor is a dimensionless parameter that is used to describe the underdamped resonator and characterises the bandwidth and centre frequency of the resonator.
Q5
What causes resonance to occur?
Resonance occurs when the matching vibrations of another object increase the amplitude of an object’s oscillations
Test your Knowledge on Sharpness Of Resonance
Q5
Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!
Select the correct answer and click on the “Finish” button
Check your score and answers at the end of the quiz
Congrats!
Visit BYJU’S for all Physics related queries and study materials
Your result is as below
0 out of 0 arewrong
0 out of 0 are correct
0 out of 0 are Unattempted
Login To View Results
Did not receive OTP?
Request OTP on
Login To View Results
| PHYSICS Related Links | |
| What Is Electric Fuse | Resistor Examples |
| Circuit Symbols | Electrical Components And Their Uses |
| What Is Magnetic Field | Frequency And Wavelength Relationship |
| Alternating Current Vs Direct Current | Einstein Photoelectric Effect |
| Newton's Third Law Of Motion Examples | Reflection Physics |
Comments
Leave a Comment
",i.after(m)}}else{i.find('button[type="submit"]').attr("disabled",!0).html("Submitting..");var p=i.serialize();p+="¤t_url="+escape(C_URL),jQuery.post(CONFIG.apis.db.popup_form_api,p,function(e,t){if(e)if(e=JSON.parse(e),e.success){if(CS_UTILITIES.removeToastMessage("page-form-popup-and-widget-0"),i.addClass("hidden"),i.find(".register-form-widget-success-block").length)i.find(".register-form-widget-success-block").removeClass("hidden");else{var r='
';"Popup"==s?(r+='
',r+="
"):(r+='
',jQuery(".join-byjus-form-widget").find(".widget-content").children(":first-child").addClass("text-center")),jQuery("#register-modal-widget").addClass("submitted-successfully"),r+="
Thank you for connecting with BYJU'S!
",r+="
",r+=" Communications regarding lectures & crash courses will be shared with you soon.",r+="
",i.after(r)}"register-popup-form-widget"==i.attr("id")&&MAIN_UTILITIES.setCookie("pagebformypopupj",1,15),GA_FLAG&&ga("send","event",INSTANCE_NAME+" "+s+" Data Form Successful","Form Submission Data Stored","URL: "+C_URL)}else i.find('button[type="submit"]').attr("disabled",!1).html(d),CS_UTILITIES.addToastMessage("page-form-popup-and-widget-0",e.message),GA_FLAG&&ga("send","event",INSTANCE_NAME+" "+s+" Data Form Failed","Form Submission Data Failed","URL: "+C_URL);else i.find('button[type="submit"]').attr("disabled",!1).html(d),CS_UTILITIES.addToastMessage("page-form-popup-and-widget-0","Please try after sometime!")})}}else e.preventDefault(),a.each(function(e,t){jQuery(t).blur()});GA_FLAG&&ga("send","event","Form Data "+s+" Button Click: "+FORM_NAME,"On Submitting Form","Form Values: "+jQuery(t).serialize())}};
