Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

In an LRC series circuit, can the instantaneous voltage across the capacitor exceed the source voltage at that same instant? Can this be true for the instantaneous voltage across the inductor and across the resistor? Explain.

Short Answer

Expert verified

The instantaneous voltage across the capacitor cannot exceed the source voltage at that same instant. This is also true for instantaneous voltage across inductor and resistor.

Step by step solution

01

Define instantaneous voltage and Kirchhoff’s voltage law

When inductor, capacitor and resistor are connected in series with an ac power supply, the circuit is called LCR series ac circuit.

AC power supply provides variable voltage. This voltage varies with time only. So, the voltage at any given instant of time is called instantaneous voltage.

Kirchhoff’s voltage law states that the voltage around a loop equals the sum of every voltage drop in the same loop for any closed network and equals zero.

02

Apply Kirchhoff’s voltage law

Voltage at any instant provide by ac power supply must be equal to instantaneous voltage across each electrical component (resistor, inductor and capacitor) in circuit as per Kirchhoff’s voltage law.

Vac=VR+VL+VcWhererole="math" localid="1663856786161" Vac is voltage provided by AC supply at an instant,VR is the voltage across resistor at same instant,role="math" localid="1663856763293" VL is the voltage across inductor at same instantVc and is the voltage across capacitor at same instant.

From above expression it is clear thatVac>Vc the instantaneous voltage across the capacitor cannot exceed the source voltage at that same instant. Similarly,role="math" localid="1663856841295" Vac>VR and Vac>Vc.

Therefore, the instantaneous voltage across the capacitor, inductor and resistor cannot exceed the source voltage at that same instant.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free