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The magnetic field in a plane monochromatic electromagnetic wave with wavelength   = 450 nm, propagating in a vacuum in the z-direction is described byB=B1sin(kz-wt)(i+j), where B1 = 10.1 X 10-6 T, and i and j are the unit vectors in the +x and +y directions, respectively.
What is Emax, the amplitude of the electric field oscillations?

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B. Haranadh Kumar
B. Haranadh KumarLv10
6 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 445 nm, propagating in a vacuum in the z-direction is described by     where  , and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.
1) What is k, the wavenumber of this wave?
2)What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum at t = 0?
3)What is Emax, the amplitude of the electric field oscillations?
4)What is Ey, the y-component of the electric field at (x = 0, y-0, z = zmax) at t = 0?

The magnetic field in a plane monochromatic electromagnetic wavewith wavelength ? = 450 nm, propagating in a vacuum in thez-direction is described by


where B1 = 10.1 X 10-6 T, and i-hat and j-hat are the unit vectorsin the +x and +y directions, respectively.

1)
What is k, the wavenumber of this wave?

m-1
2)
What is zmax, the distance along the positive z-axis to theposition where the magnitude of the magnetic field is a maximum att = 0?

nm
3)
What is Emax, the amplitude of the electric fieldoscillations?

V/m
4)
What is Ey, the y-component of the electric field at (x = 0, y-0, z= zmax) at t = 0?

V/m
5)
Which of the following equations describes the spatial and timedependence of the electric field oscillations?














6)
What is tmax, the first time after t = 0, when the magnitude of theelectric field at the origin (x = y = z = 0) has its maxiumumvalue?

s
7)
Compare Ex1 and Ex2, the values of the x-component of the electricfield at t = 0. Ex1 is evaluated at (x = 0, y = 0, z = zmax), whileEx2 is evaluated at (x = ? nm, y = ? nm, z = zmax).

Ex1 < Ex2
Ex1 = Ex2
Ex1 > Ex2

The magnetic field in a plane monochromatic electromagnetic wavewith wavelength ? = 450 nm, propagating in a vacuum in thez-direction is described by


where B1 = 10.1 X 10-6 T, and i-hat and j-hat are the unit vectorsin the +x and +y directions, respectively.

1)
What is k, the wavenumber of this wave?

m-1
2)
What is zmax, the distance along the positive z-axis to theposition where the magnitude of the magnetic field is a maximum att = 0?

nm
3)
What is Emax, the amplitude of the electric fieldoscillations?

V/m
4)
What is Ey, the y-component of the electric field at (x = 0, y-0, z= zmax) at t = 0?

V/m

6)
What is tmax, the first time after t = 0, when the magnitude of theelectric field at the origin (x = y = z = 0) has its maxiumumvalue?

s
7)
Compare Ex1 and Ex2, the values of the x-component of the electricfield at t = 0. Ex1 is evaluated at (x = 0, y = 0, z = zmax), whileEx2 is evaluated at (x = ? nm, y = ? nm, z = zmax).

Ex1 < Ex2
Ex1 = Ex2
Ex1 > Ex2

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