Electromagnetic waves Conceptual help please

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SUMMARY

The discussion focuses on the behavior of electromagnetic waves in relation to a steel wire and a light bulb. When the wire is oriented parallel to the electric field vector (E-field), it causes electrons to oscillate, resulting in a current that lights the bulb. The participants conclude that the brightness of the bulb remains equal when the wire is parallel to the y-axis, regardless of its position along the x-axis, due to the uniformity of the E-field. However, when the wire is tilted at an angle, the induced current is affected by the changing magnetic field, with maximum current occurring when the wire is perpendicular to the field.

PREREQUISITES
  • Understanding of electromagnetic wave equations, specifically E(x,y,z,t) and B(x,y,z,t)
  • Knowledge of electric field (E-field) and magnetic field (B-field) interactions
  • Familiarity with concepts of induced current and its dependence on wire orientation
  • Basic principles of light bulb operation in response to electrical current
NEXT STEPS
  • Study Maxwell's equations to understand the fundamentals of electromagnetic waves
  • Learn about Faraday's law of electromagnetic induction and its applications
  • Explore the relationship between electric field strength and induced current in conductive materials
  • Investigate the effects of wire orientation on electromagnetic induction and current generation
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Students and educators in physics, electrical engineers, and anyone interested in the principles of electromagnetic waves and their practical applications in circuits.

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Electromagnetic waves!Conceptual help please!

A long steel wire is cut in half is connected to a different terminal of a light bulb. An electromagnetic(EM) plane wave (E(x,y,z,t)=Esin(kx-wt)[y hat direction], B(x,y,z,t)=Bsin(kx-wt)[z hat direction]) moves past the wire.

a) Suppose the wire were oriented parallel to the y-axis, with the bulb centered on the x-axis. Would the bulb glow?
I said yes because the wire is parallel to the E field vector, causing the electrons in the wire to oscillate up and down crateing a current...Is my thinking corect or does the magnetic (B) vector affect it some how?

B)Suppose nstead that the wire were positioned as described below. Would the brightness of the bulb be greater than, less than, or equal to the brightness that it had in part a. Explain your reasoning.

i) The wire is parallel to the y-axis but its bottom end is located on the x-axis.
I think that it will be equal to the brightness in case a because the E field is the same on a line, meaning they have the same magnitude no matter the distance from the graph.

ii)the wire is tilted so that it makes an angle of 40 degrees with respect to the y-axis but is still parallel to the y-z plane.
I am unsure about this one
 
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In the wire current is induced only by changing magnetic field, not by changing electric field. And the current is maximum when the wire is perpendicular to the field.
 

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