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Suppose that magnetic field of an EM waves in a vacuum is
Bz=10^-8[2y+(6×10^8)t], then what will be the expression for electric wave..?
Asked by jhajuhi19 | 17 Mar, 2020, 04:32: AM
Expert Answer
If time varying magnetic field is in z-direction as given by question, then we write the equation for magnetic field
Bz = Bo sin(ky - ω t)................(1)
Where Bo is amplitude, k is wave vector and ω is angular frequency
if we compare with the given equation for electromagnetic wave, Bz = 10-8 sin [ 2y + (6×108)t ] ................. (2)
Amplitude Bo = 10-8 T , k = 2 m-1 and ω = 6 × 108 rad/s .
Positive sign in the phase angle indicates wave propagation is in -y direction.
Hence electric field is in +x-direction. Amplitude of electric field = E0 = Bo × c = 10-8 × 3 × 108 = 3 V
hence time varying electric field Ex = 3 sin [ 2y + (6×108)t ] .............................. (3)
Answered by Thiyagarajan K | 17 Mar, 2020, 10:32: AM
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