Em Waves Question 131

Question: The amplitude of the electric field if the intensity of a plane electromagnetic wave is given as $ 2.0,W{{m}^{-2}} $ is

Options:

A) $ 38.8,N{{C}^{-1}} $

B) $ 48.3,N{{C}^{-1}} $

C) $ 50.2,N{{C}^{-1}} $

D) $ 68.8,N{{C}^{-1}} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Intersity of a plane electromagnetic wave $ =\frac{1}{2}{\varepsilon _{0}}E _{0}^{2}c $ , so $ E=\sqrt{\frac{2I}{{\varepsilon _{0}}c}}=38.8,N{{C}^{-1}} $