Question

Magnetic field strength of an electromagnetic wave H(R,t)=ɸH0cos(−)(A/m) H1(,)=ɸ10−3(−)(A/m) And H2(, )=ɸ3x10−3(−+) (A/m) It is the sum of the areas. Find H0 and .

Answer 1

The values of H0 and θ are 4x10-3 and 1 radian, respectively.

Step-by-step explanation:

The question is asking for the values of H0 and θ. From the given information, we have three equations for the magnetic field strength: H(R,t) = φH0cos(θ), H1(θ) = φ10-3cos(θ) and H2(θ) = φ3x10-3cos(θ).

Since the magnetic field strength is the sum of the areas, we can equate them: H1(θ) + H2(θ) = H(R,t). Substituting the given values, we have φ10-3cos(θ) + φ3x10-3cos(θ) = φH0cos(θ). Simplifying the equation, we get 4x10-3cos(θ) = φH0cos(θ).

By cancelling out the common terms, we find H0 = 4x10-3 and φ = 1. Therefore, the value of H0 is 4x10-3 and the value of θ is 1 radian.