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Quiz on Electromagnetic Waves in PHYS4210 - Prof. James J. Napolitano, Quizzes of Physics

A closed-book quiz question from the electromagnetic theory course (phys4210) at the university of california, berkeley. Students are required to find the wavelength, magnetic field, and poynting vector of an electromagnetic plane wave, as well as the induced emf and average energy transfer rate for a square loop in the xy-plane and yz-plane. This quiz question tests students' understanding of maxwell's equations and electromagnetic wave properties.

Typology: Quizzes

2010/2011

Uploaded on 05/17/2011

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koofers-user-zkp 🇺🇸

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Download Quiz on Electromagnetic Waves in PHYS4210 - Prof. James J. Napolitano and more Quizzes Physics in PDF only on Docsity! Name: PHYS4210 Electromagnetic Theory Quiz #11 25 Apr 2011 This is a closed book quiz! You have thirty minutes to complete it. An electromagnetic plane wave propagates in the z-direction in vacuum. The electric field is E(t,x) = E0ŷ cos(ωt− kz) What is the wavelength λ? Find the magnetic field B(t,x). Show that it satisfies at least one of the time-dependent Maxwell’s Equations. Find the Poynting vector S(t,x). Consider a square loop centered at the origin, in the xy-plane, each side with length λ/2. Find the induced EMF E(t) around the loop from B(t,x). Also find the average rate dŪ/dt at which energy is carried through the loop, by the wave. Repeat the calculations of E(t) and dŪ/dt for a loop of the same dimensions lying at the origin in the yz-plane.
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