What is the wavelength of the electromagnetic wave emitted by the oscillator–antenna system of the following Fig. 33-3 ifL=0.253μHandC=25.0pF?

Short Answer

Expert verified

The wavelength of the electromagnetic wave emitted by the oscillator is 4.74m.

Step by step solution

01

Listing the given quantities

Inductance,L=0.253μH=0.253×10-6H .

Capacitance,C=25.0pF=25.0×10-12F.

The velocity of light, c=3×108m/s.

02

Understanding the concepts of frequency in terms of inductance and capacitance

Figure 33-3 shows an arrangement for generating a traveling electromagnetic wave in the radio region of the spectrum. It shows that an LC oscillator produces a sinusoidal current in the antenna, which generates the wave. The wavelength of electromagnetic waves emitted by an oscillator-antenna system can be calculated using the formula for frequency in terms of inductance and capacitance.

Formula:

f=1/2πLC

03

Calculations of the wavelength of the electromagnetic wave 

To calculate, we have,

f=1/2πLC (1)

But, f=cλ,i.e.,

λ=c/f (2)

From equations 1 and 2, we can write the formula for wavelength as,

λ=c1/2πLCλ=2πcLC

Substitute the values in the above expression, and we get,

λ=23.143×1080.253×10-625.0×10-12=4.74m

Thus, the wavelength of the electromagnetic wave emitted by the oscillator is 4.74m.

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

In Figure

(a), a beam of light in a material1is incident on a boundary at an angle θ1=40°. Some of the light travels through the material 2, and then some of it emerges into the material 3. The two boundaries between the three materials are parallel. The final direction of the beam depends, in part, on the index of refraction n3of the third material. Figure (b) gives the angle of refraction θ3in that material versus n3a range of possiblen3values. The vertical axis scale is set byθ3a=30.0° and θ3b=50.0°.(a) What is the indexof refraction of material , or is the index impossible to calculate without more information?

(b) What is the index of refraction of material 2, or is the index impossible to calculate without more information?

(c) It θ1is changed to 70°and the index of refraction of a material 3 is2.4 , what is θ3?

Figure:

In a region of space where gravitational forces can be neglected, a sphere is accelerated by a uniform light beam ofintensity6.0 mW/m2.The sphere is totally absorbing and has a radius of2.0μmand a uniform density of5.0×103 kg/m3. What is the magnitude of the sphere’s acceleration due to the light?

Question: A catfish is2.00m below the surface of a smooth lake. (a) What is the diameter of the circle on the surface through which the fish can see the world outside the water? (b) If the fish descends, does the diameter of the circle increase, decrease, or remain the same?

Each part of Fig. 33-34 shows light that refracts through an interface between two materials. The incident ray (shown gray in the figure) consists of red and blue light. The approximate index of refraction for visible light is indicated for each material. Which of the three parts show physically possible refraction? (Hint: First consider the refraction in general, regardless of the color, and then consider how red and blue light refract differently?

Figure 33-32 shows four long horizontal layers A–D of different materials, with air above and below them. The index of refraction of each material is given. Rays of light are sent into the left end of each layer as shown. In which layer is there the possibility of totally trapping the light in that layer so that, after many reflections, all the light reaches the right end of the layer?

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