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Q#1 Electric and Magnetic Fields GATE EC 2024 MCQ +2 marks -0.66 marks

A uniform plane wave with electric field  is travelling in the air (relative permittivity,  and relative permeability,  ) in the  direction ( is a positive constant,  is the unit vector along the  axis). It is incident normally on an ideal electric conductor (conductivity,  ) at . The position of the first null of the total magnetic field in the air (measured from , in metres) is

Explanation:

At perfect conductor,

 

 

We know that  occurs at
Hance,

 

So,

 

 

So, for 1st value of  for H-field to be zero

 

Now, form equation

 

 

Hence

If the reference is not at interference, then

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