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The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?
a)-x b)+x c)-k d) +k?
a)-x b)+x c)-k d) +k?
Most Upvoted Answer
The electric field of an electromagnetic wave in free space is given b...
When :-->
KX + Wt ---> the direction of wave is in negative X direction...
-KX - Wt ---> the direction of wave is in negative X direction...
KX - Wt ---> the direction of wave is in positive X direction...
-KX + Wt ---> the direction of wave is in positive X direction...
So, here both are positive so direction of wave is in negative X direction... that is ( - X)..
$$Hope it's help...$$
KX + Wt ---> the direction of wave is in negative X direction...
-KX - Wt ---> the direction of wave is in negative X direction...
KX - Wt ---> the direction of wave is in positive X direction...
-KX + Wt ---> the direction of wave is in positive X direction...
So, here both are positive so direction of wave is in negative X direction... that is ( - X)..
$$Hope it's help...$$
Community Answer
The electric field of an electromagnetic wave in free space is given b...
Answer:
To determine the direction of propagation of the electromagnetic wave, we need to analyze the given electric field expression:
E = 10cos(10^7 t kx) j^
Here, j^ represents the unit vector along the y-axis.
The wave equation for an electromagnetic wave in free space is given by:
E = E0cos(kx - ωt) j^
Comparing the given expression with the wave equation, we can see that the wave is propagating in the x-direction, which is perpendicular to the y-axis.
Therefore, the correct answer is option b) x.
Explanation:
To understand why the wave is propagating in the x-direction, we need to analyze the wave equation.
The wave equation for an electromagnetic wave is given by:
E = E0cos(kx - ωt) j^
Here,
- E represents the electric field vector
- E0 represents the amplitude of the wave
- k represents the wave number
- x represents the position vector
- ω represents the angular frequency
- t represents time
- j^ represents the unit vector along the y-axis
In the given electric field expression, we have E = 10cos(10^7 t kx) j^.
Comparing this with the wave equation, we can identify the following values:
- E0 = 10
- kx = 10^7 t kx (from the argument of the cosine function)
- ω = 10^7 (angular frequency)
Since the wave equation contains (kx - ωt), and in the given expression we have (10^7 t kx), we can conclude that k = 1 and ω = 10^7.
Now, let's consider the term (kx - ωt):
(kx - ωt) = (1)(x) - (10^7)(t)
From this equation, we can see that the wave is propagating in the x-direction, as the term involving x is positive and the term involving t is negative.
Therefore, the given electromagnetic wave is propagating along the x-direction.
To determine the direction of propagation of the electromagnetic wave, we need to analyze the given electric field expression:
E = 10cos(10^7 t kx) j^
Here, j^ represents the unit vector along the y-axis.
The wave equation for an electromagnetic wave in free space is given by:
E = E0cos(kx - ωt) j^
Comparing the given expression with the wave equation, we can see that the wave is propagating in the x-direction, which is perpendicular to the y-axis.
Therefore, the correct answer is option b) x.
Explanation:
To understand why the wave is propagating in the x-direction, we need to analyze the wave equation.
The wave equation for an electromagnetic wave is given by:
E = E0cos(kx - ωt) j^
Here,
- E represents the electric field vector
- E0 represents the amplitude of the wave
- k represents the wave number
- x represents the position vector
- ω represents the angular frequency
- t represents time
- j^ represents the unit vector along the y-axis
In the given electric field expression, we have E = 10cos(10^7 t kx) j^.
Comparing this with the wave equation, we can identify the following values:
- E0 = 10
- kx = 10^7 t kx (from the argument of the cosine function)
- ω = 10^7 (angular frequency)
Since the wave equation contains (kx - ωt), and in the given expression we have (10^7 t kx), we can conclude that k = 1 and ω = 10^7.
Now, let's consider the term (kx - ωt):
(kx - ωt) = (1)(x) - (10^7)(t)
From this equation, we can see that the wave is propagating in the x-direction, as the term involving x is positive and the term involving t is negative.
Therefore, the given electromagnetic wave is propagating along the x-direction.
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The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k?
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The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k?.
The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field of an electromagnetic wave in free space is given by E=10cos(10^7 t kx) j^. Then wave propagating along which direction?a)-x b)+x c)-k d) +k?.
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