Question

At one instant, the electric and magnetic fields at one point of an electromagnetic wave are E? =(220i^+300j^?60k^)V/m and B? =(7.8i^?7.3j^+ak^)B0.

1) What is the value of B0?

2) What is the Poynting vector at this time and position? Find the x-component.

3) Find the y- component. Express your answer to two significant figures and include the appropriate units.

4) Find the z-component. Express your answer to two significant figures and include the appropriate units.

Answer 1

)The electric field is E-(220i+330j-60k) V/m The magnitude of electric field is, E V(220) (330)+(-60) -401V/nm The magnetic field at a point of electromagnetic wave is, Both vectors are normal to each other: (220i +330j-60k).(7.8i-7.3j+ ak)B0 (220i +330j -60k)(7.8i-7.3j +ak) 0 1716-2409-60a -0 -693-60a 0 a 11.55 The magnitude of the magnetic field is, The relation between the magnetic field and the electric field is, E cB (15.73) °c(15.73) 401 3x108(15.73x10-6 =8.5 × 10-2 T

2for pointing vector is, 0 [(220i +330j-60k)x(7.8i-73j+11.55k) 8.5x102 105) 220 330 -60 4T x 10 7.8 -7.3 11.55 8.5x102) 10) (3373.5i-3009j-4180k) T x107 (0.0676) (3373.5i-3009 j-4180k)W/m The X-component is, S, 3373.5 W/m2-3400Wm2 3)The Y-component is, S,3009W/2 -3000W m3 )The Z-component is, s, -4180Wm2-4200Wm2