and
(i)
Evaluate 
dl over the rectangular
loop 1234 shown in Fig. 5(EP).4.
(ii)
Evaluate
over the surface bounded
by loop 1234.
(iii)
Use equation
to porve 
(iv)
By using similar process and the equation
, prove that 
Answer:
(i) During the propagadon
of electromagnetic wave along z-axis, let electric field vector 
be along .x-axis and
magnetic field vector 
be along y-axis,
i.e., 
and
Refer Fig. 5(EP).5. Line
integral of 
over the closed
rectangular, path 1234 in x-z plane is
=
?(i)
(ii)
For evaluating 
over the surface
bounded by loop 1234, let us consider a rectangle 1234 be made of small strips.
One small strip of area ds = h dz. is shown in Fig. 5(EP).6.
Surface
bounded by strips 1234
?(ii)
(iii)
Give, 
Putting
the values from (i) and (ii), we get
Or
(iv)
For evaluating 
, let us
consider a loop 1342 in y-z plane as shown in Fig. 5(EP).7.
?(iii)
To evaluate
, let us
consider the rectangle 1342 to be made up of strips, each of area
. Fig . 5 (EP) .8.
?(iv)
In the
relation, 
is the
conduction current. The value of = 0 (in
vacuum).
Putting
values from (iii) and (iv), we get
or 
or 
Or 
Or 
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