Electromagnetic wave having magnetic field B(x, y, z,t) = B, sin (x+y). ² + ox ]
where k is wave vector. Calculate its electric field.
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Answered by
0
Answer:Answer
Correct option is
C
E
=9sin(1.6×10
3
x+48×10
10
t)
k
^
V/m
We know ∣E∣=∣B∣×∣C∣
where E and B are the amplitude of electric and magnetic field intensities in an electromagnetic wave.
Given ∣B∣=3×10
−8
∴∣E∣=∣B∣×∣C∣=3×10
−8
×3×10
8
=9
Pointing vector of the wave is given by
S
=
μ
0
1
(
E
×
B
)
∴
S
^
=
E
^
×
B
^
Given
B
^
=
j
^
We also have B=B
0
sin(kx+wt)
From the argument of sin, we say that the wave travels in the negative x direction.
∴
s
^
=−
i
^
−
i
^
=
E
^
×
j
^
,∴
E
^
=
K
^
∴E=∣E∣sin(kx+wt)=9sin(1.6×10
3
x+48×10
10
t)
k
^
option (C) is correct.
Explanation:
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