Figure 31-24 shows three situations like those in Fig. 31-15. Is the driving angular frequency greater than, less than, or equal to the resonant angular frequency of the circuit in (a) situation 1, (b) situation 2, and (c)situation 3?

Short Answer

Expert verified
  1. The angular frequency in situation 1 is less than the resonant angular frequency of the circuit.
  2. The angular frequency in situation 2 is equal to the resonant angular frequency of the circuit.
  3. The angular frequency in situation 3 is greater than the resonant angular frequency of the circuit.

Step by step solution

01

The given data

Figure 31-24 shows three situations of frequencies.

02

Understanding the concept of resonance frequency

When the current leads the emf, then the angular frequency is less and vice versa. This case of current leading indicates flowing through a capacitor. If current lags the emf, this is when the current flows through an inductor.

03

a) Calculation of the angular frequency in situation 1

The current I leads the driving emf E, so angular frequency is less than the resonant frequency.

04

b) Calculation of the angular frequency in situation 2

The current I and the driving emf E have the same phase difference, so angular frequency is equal to the resonant frequency.

05

c) Calculation of the angular frequency in situation 3

The current I is larger than the driving emf E, so the angular frequency is greater than the resonant frequency.

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

Most popular questions from this chapter

An alternating emf source with a variable frequency fd is connected in series with aR=50.0Ω resistor and aC=20μF capacitor. The emf amplitude ism=12.0V . (a) Draw a phasor diagram for phasorVR (the potential across the resistor) and phasor VC(the potential across the capacitor). (b) At what driving frequencyfd do the two phasors have the same length? At that driving frequency, what are (c) the phase angle in degrees, (d) the angular speed at which the phasors rotate, and (e) the current amplitude?

Figure 31-32 shows a driven RLC circuit that contains two identical capacitors and two switches. The emf amplitude is set at εm=12.0V, and the driving frequency is set at 60.0Hz. With both switches open, the current leads the emf by 30.9°. With switch S1closed and switch S2still open, the emf leads the current by 15.0°. With both switches closed, the current amplitude is 447mA. What are (a) R, (b) C , and (c) L?

An ac generator with emfε=εmsinωdt, whereεm=25.0Vandωd=377rad/s, is connected to a4.15μFcapacitor. (a) What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c) When the emf of the generator isεm=-12.5Vand increasing in magnitude, what is the current?

The values of the phase constant ϕ for four sinusoidally driven series RLC circuits are (1) ϕ=-15°, (2) ϕ=+35°, (3) ϕ=π3rad, and (4) ϕ=-π6rad. (a) In which is the load primarily capacitive? (b) In which does the current lag the alternating emf?

In an oscillating LCcircuit L=1.10mH, andC=4.00μF. The maximum charge on the capacitor is3.00μC. Find the maximum current.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free