B B1sinkzti j BB1sinkztij where B1 9 X 106 T and ihat and j

B? =(B1sin(kz??t))(i? +j? )BB1sinkztij

where B₁ = 9 X 10^-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

Solution

a)

Wave Number

K=2pi/lambda =2pi/(603*10^-9)

K=1.042*10⁷

b)

Sin(Kz-Wt)=1

at t=0

KZ =Sin^-1(1) =pi/2

Z=pi/2K

c)

Maximum Magnetic field is

B_max=sqrt[(9*10^-6)²+(9*10^-6)^2]

B_max=1.27*10^-5 T

so

E_max=B_max*c=(1.27*10^-5)(3*10⁸)

E_max=3818.4 N/C

d)

E_y=E_maxSin45 =2700 N/C