Discussion Overview
The discussion revolves around determining the frequency of a plane wave's magnetic field expression in the time domain, specifically focusing on the expression H(t) = y3sin(ωt + 3x + 4z). Participants explore the implications of having multiple spatial variables in the sine function and how to derive related electric field expressions.
Discussion Character
- Homework-related
- Mathematical reasoning
- Conceptual clarification
Main Points Raised
- One participant expresses difficulty in starting the problem due to the presence of multiple spatial variables in the sine function.
- Another participant suggests changing variables to k = 3x/5 + 4z/5 to simplify the expression, though the reasoning behind the choice of denominator is questioned.
- A participant later clarifies that the denominator of 5 is derived from k = sqrt(3^2 + 4^2), indicating a geometric interpretation.
- There is a query about determining the direction of the electric field in phasor form based on the given magnetic field, with a participant suggesting that it may depend on the direction of polarization.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the approach to finding the frequency or the direction of the electric field, indicating that multiple viewpoints and uncertainties remain in the discussion.
Contextual Notes
There are unresolved assumptions regarding the relationship between the magnetic and electric fields and how polarization affects the direction of the electric field.
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