What is the magnitude of an electric field at a certain time?

AI Thread Summary
The discussion focuses on determining the magnitude of the electric field at specific times using a graph of an electromagnetic wave produced by a wire antenna. Users inquire about the need for equations, but it is suggested that the values can be directly read from the graph despite its low time resolution. The sinusoidal nature of the electric field allows for the derivation of its equation based on amplitude, phase, and period. Additionally, the magnetic field's magnitude can be calculated as it is related to the electric field by a constant. Understanding these relationships is essential for accurately answering the posed questions.
tinabelcher_13
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The figure (http://tinypic.com/r/vo5ssm/6) shows the time variation of the magnitude of the electric field of an electromagnetic wave produced by a wire antenna.

What is the magnitude of the electric field at t = 3.34 × 10−10 s?
What is the magnitude of the magnetic field at t = 6.0 × 10−9 s and at t = 6.67 × 10−10 s?
I keep looking throughout the chapter to figure some kind of equations. The only ones I see
are u=ε0E^2, the doppler effect, and polarization.. Please help with a good explanation of the answers.
 

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Welcome to PF tinabelcher_13!

Why do you feel that you need equations? You have a graph of the magnitude of the E field vs. time in front of you. What's prevent you from just reading the value of the magnitude at specific times from the graph?

EDIT: Okay, so the graph doesn't have very good time resolution, but the variation is sinusoidal, with an amplitude, phase, and period that you can determine from reading the graph. Once you have that (sinusoidal equation for E vs. t) you can answer the questions. The magnitude of the B field is related to the E field by a constant.
 
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