Poynting vector and fields

What is the equation of the electric field component of an electromagnetic wave with magnetic field component

B = B m z ^ sin ( k y + ω t ) ? \vec{B} = B_m\hat{z} \sin(ky + \omega t)?

E = B m c x ^ sin ( k y + ω t ) \vec{E} = \frac{B_m}{c}\hat{x} \sin(ky + \omega t) E = c B m x ^ sin ( k y + ω t ) \vec{E} = c B_m\hat{x} \sin(ky + \omega t) E = c B m z ^ sin ( k y + ω t ) \vec{E} = c B_m\hat{z} \sin(ky + \omega t) E = B m c z ^ sin ( k y + ω t ) \vec{E} = \frac{B_m}{c}\hat{z} \sin(ky + \omega t)

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1 solution

July Thomas
Jun 9, 2016

The equation c = E B c = \frac{E}{B} means E m = c B m E_m = cB_m should be the amplitude of the electric field equation.

The argument of the sine function is k y + ω t , ky+\omega t, which indicates the wave propagates in the y-direction. The z ^ \hat{z} in the magnetic field equation means the magnetic field is oriented parallel tot he z-axis. This leaves only the z-direction for the electric field.

Sorry that's wrong

Raj Raj - 2 years, 4 months ago

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How is it wrong as per you?

ashutosh gupta - 3 months ago

Yeah, I disagree

Neno Fuller - 1 year, 7 months ago

whats the crct explanation?

J E G A N N A T H Jegan - 9 months, 2 weeks ago

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