Ampère's Law One of Maxwell's equations for electromagnetic waves is V x B = c² at where E is the electric field, B is the magnetic field, and C is a constant. a. Show that the fields E(z, t) = A sin (kz – et)i and B(z, t) = A sin (kz – wt ) j satisfy the equation for constants A, k, and w, provided w = k/C. b. Make a rough sketch showing the directions of E and B.
Ampère's Law One of Maxwell's equations for electromagnetic waves is V x B = c² at where E is the electric field, B is the magnetic field, and C is a constant. a. Show that the fields E(z, t) = A sin (kz – et)i and B(z, t) = A sin (kz – wt ) j satisfy the equation for constants A, k, and w, provided w = k/C. b. Make a rough sketch showing the directions of E and B.
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![Ampère's Law One of Maxwell's equations for electromagnetic
waves is V x B = c²
at
where E is the electric field, B is the
magnetic field, and C is a constant.
a. Show that the fields
E(z, t) = A sin (kz – et)i and B(z, t) = A sin (kz – wt ) j
satisfy the equation for constants A, k, and w, provided
w = k/C.
b. Make a rough sketch showing the directions of E and B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a1fcb6c-9d7e-41ff-a732-22c5fa8f41ff%2F7a19c23a-391e-4a19-9986-20b45991cf55%2Fc9ndqx.png&w=3840&q=75)
Transcribed Image Text:Ampère's Law One of Maxwell's equations for electromagnetic
waves is V x B = c²
at
where E is the electric field, B is the
magnetic field, and C is a constant.
a. Show that the fields
E(z, t) = A sin (kz – et)i and B(z, t) = A sin (kz – wt ) j
satisfy the equation for constants A, k, and w, provided
w = k/C.
b. Make a rough sketch showing the directions of E and B.
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