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Byju's Answer
Standard X
Chemistry
Wave Nature of Light
How are the m...
Question
How are the magnitudes of the electric and magnetic fields related to velocity of the em wave?
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Solution
For an electromagnetic wave electric and magnetic field is given by
E
X
=
E
O
S
I
N
(
K
z
-
ω
t
)
B
Y
=
B
O
S
I
N
(
K
z
-
ω
t
)
w
h
e
r
e
k
i
s
r
e
l
a
t
e
d
t
o
w
a
v
e
l
e
n
g
t
h
λ
a
s
k
=
2
π
λ
i
t
i
s
a
l
s
o
s
e
e
n
f
r
o
m
m
a
x
w
e
l
l
'
s
e
q
u
a
t
i
o
n
s
t
h
a
t
t
h
e
m
a
g
n
i
t
u
d
e
o
f
e
l
e
c
t
r
i
c
a
n
d
m
a
g
n
e
t
i
c
f
i
e
l
d
s
i
n
a
n
e
l
e
c
t
r
o
m
a
g
n
e
t
i
c
w
a
v
e
a
r
e
r
e
l
a
t
e
d
a
s
B
O
=
E
O
C
W
H
E
R
E
C
I
S
T
H
E
S
P
E
E
D
O
F
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
W
A
V
E
I
N
V
A
C
C
U
M
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0
Similar questions
Q.
An EM wave is travelling in a medium with a velocity
v
=
v
^
i
. Draw a sketch showing the propagation of the EM wave, indicating the direction of the oscillating electric and magnetic fields
(b) How are the magnitudes of the electric and magnetic fields related to velocity of the EM wave?
Q.
In the
E
M
wave the amplitude of magnetic field
H
0
and the amplitude of electric field
E
0
at any place are related as:
Q.
The instantaneous oscillating electric field of EM wave is
E
0
^
j
and magnetic field is oscillating along -ve
(
^
k
)
direction having magnitude
B
0
, then velocity of EM wave is
Q.
Ratio of average electric field
(
E
)
to average magnetic field (
B
) is