Definition of Intensity: I = P/A
For an electromagnetic wave with electric field amplitude, E_0, and magnetic field amplitude, B_0
I = (1/2)*C*ℰ_0*(E_0)^2 = (1/2)* (C/u_0)*(B_0)^2
(E_0)^2 = C*B_0
Therefore starting with Part B:
I = (1/2)* (C/u_0)*(B_0)^2
(B_0)^2 = 2*u^2*I/C
(B_0)^2 = 2*(4pi*10^-7)*2800/(3*10^8)
(B_0)^2 = 2.3457*10^-11
Hence, B_0 = sqrt(2.3457*10^-11) = 4.8*10^-6 T
Then for Part A:
E_0 = C*B_0
E_0 = (3*10^8)(4.8*10^-6)
Therefore, E_0 = 1452.98 which is approximately 1500 V/m
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