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The magnetic field in aplane electromagnetic wave is given by B = 2 xx 10A^(-7) sin (0.5 xx I0^(3)xx+I.5 xx 10^(11)t)T. (a) What is the wavelength and frequency o f the wave ? (b) Write an expression fo r the electric field. |
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Answer» Solution : (a) Comparing the given equation with`B_(y)=B_(0)SIN[2pi[((X)/(lambda)+(t)/(T))]` we get `lambda=(2pi)/(0.5xx10^(3))m = 1.26cm` and `(1)/(T)=v=(1.5xx10^(11)//2pi)=23.9 GHz` (B) `E_(0) = B_(0)c = 2xx10^(-7) -7 T XX 3 xx 10^(8) m //s = 6 xx 10^(1) V //m` The electric field component is perpendicular to the direction of propagation and the direction of magnetic field. Therefore, the electric field component along the z- axis is obtained as `E_(z) = 60sin(0.5xx 10^(3) xx +1.5xx10^(11) t)V//m` |
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