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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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