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(1I) A satellite dish is about 0.5 $\mathrm{m}$ in diameter. According to the user's manual, the dish has to be pointed in the direction of the satellite, but an error of about $2^{\circ}$ to either side is allowed without loss of reception. Estimate the wavelength of the electromagnetic waves (speed = $3 \times 10^{8} \mathrm{m} / \mathrm{s} )$ received by the dish.

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Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 15

Wave Motion

Periodic Motion

Mechanical Waves

Electromagnetic Waves

Cornell University

University of Sheffield

University of Winnipeg

Lectures

03:40

In physics, electromagnetic radiation (EM radiation or EMR) refers to the waves (or their quanta, photons) of the electromagnetic field, propagating (radiating) through space, carrying electromagnetic radiant energy. It includes radio waves, microwaves, infrared, (visible) light, ultraviolet, X-rays, and gamma rays. Electromagnetic waves of different frequency are called by different names since they have different sources and effects on matter. In order of increasing frequency and decreasing wavelength these are: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.

10:59

In physics, Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. They underpin all electric, optical and radio such electromagnetic technologies as power generation, electric motors, wireless communication, cameras, televisions, computers, and radar. Maxwell's equations describe how electric and magnetic fields are generated by charges, currents, and changes of these fields. The equations have two major variants. The microscopic Maxwell equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale. The macroscopic Maxwell equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic scale details. The equations were published by Maxwell in his 1864 paper "A Dynamical Theory of the Electromagnetic Field". In the original paper Maxwell fully derived them from the Lorentz force law (without using the Lorentz transformation) and also from the conservation of energy and momentum.

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So in this question, we have a satellite dish that is pointing to the CID elect and we allow the tango off two degree as a signal. It's okay to have two degree off arrow to ease our site, and we can still get the signal. And that is due to such a fraction of inaction. Fanatic waits. So, um, even if satellite, even if it's ah, wave incident at the edge of the dish has a two degree Errol, it can still be It has to defect. So we have the only equation we have in this section instead. A equals lambda over l here. Um, we need to friend Linda. So Lamda equals, stayed out himself. Sita is two degree, but we want to have it in radius. And l Is there a 0.5 meter? This gives us 1.7 five, but we have We don't have one significant digits here. So two times 10 to the negative two meter

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