Question

Which of the following pairs of electric and
magnetic field vector represent an electromagnetic
wave travelling along negative z-axis?
(1) E=E, sin(ot-kz), B = B, sin(at - kz)j
(2) E=E, sin(ot + kz)), B = B, sin(at + kz)i
(3) Ē = E, sin(ot + kz)i, B = B, sin(at + kz)ſ
(4) Ē = E, sin(wt - kz)j, B = B, sin(at - kz)ị​

Answer 1

Answer:

Equation of electric field and magnetic field is given as

$E = E_o sin(\omega t + kz)$

$B = B_o sin(\omega t + kz)$

Explanation:

As we know that direction of wave propagation is always given along

$\hat E \times \hat B = \hat v$

so here we know that wave is propagating in - Z direction

so we can say

Electric field is along Y direction and magnetic field is along X direction

so the two equations must be

$E = E_o sin(\omega t + kz)$

$B = B_o sin(\omega t + kz)$

#Learn

Topic : Electromagnetic wave

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