Master Electromagnetism on the GRE with Problem 55 Explained

In summary, the conversation is about a question regarding problem 55 in an attached file related to the GRE. The answer appears to be (A), but there is confusion about whether the correct answer should be (C) due to interference. It is then mentioned that the two EM fields are perpendicular and the resultant field at a specific point can be represented by a vector with constants, and the question is asking for the length of this vector.
  • #1
Silviu
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Hello! I have a question about a GRE problem. It is problem 55 in the attached file. So the answer seems to be (A) but I am a bit confused. Isn't this basically interference, so the right answer would be (C)?
 

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  • #2
Remember that the two EM fields are perpendicular to each other. Since after the mentioned OPD the waves are in phase, the resultant field at that point in space will be ##\mathbf E(t) = \hat x E_1 \cos(\omega t + \phi) + \hat y E_2 \cos(\omega t + \phi)## where ##\omega## and ##\phi## are constants. What is the length of this vector?
 
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