In a traveling electromagnetic wave, the electric field is represented mathemati

Question

In a traveling electromagnetic wave, the electric field is represented mathematically as E = E0sin [(1.5 Times 10^10 s^-1) t - (4.8 Times 10^1 m^-1) x] where Eq is the maximum field strength, What is the frequency of the wave? This wave and the wave that results from its reflection can form a standing wave, in a way similar to that in which standing waves can arise on a string (see Section 17.5). What is the separation between adjacent nodes in the standing wave By accessing the This Question Assistance; you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 0 of 10 used save for later

Explanation / Answer

(a)  E = E sin [ ( 1.5 × 10 ¹ s ¹ ) t - (4.8 × 10 ¹ m ¹ ) x ] …
Comparing with the standard form of a wave traveling in the
negative x direction … y = y sin [ t - kx ] … we find that
= 1.5 × 10 ¹ s ¹ = 2 f … --> … f = / (2 )
f = 1.5 × 10 ¹ s ¹ / (2 ) = 2.39 × 10 Hz

b) k = ( 4.8× 10 ¹ m ¹ ) = 2 / … --> … = 2 / k
= 2 / ( 4.8 × 10 ¹ m ¹ ) = 0.131 m …
½ = 0.06545 m = 6.545 cm

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