Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Suppose that charges on a dipole antenna oscillate slowly at a rate of 1 cycle/s

ID: 1699863 • Letter: S

Question

Suppose that charges on a dipole antenna oscillate slowly at a rate of 1 cycle/s, and the antenna radiates electromagnetic waves in a region of space.

a) If someone measured the time-varying magnetic field in the region and found its maximum to be 0.00143 T, what would be the maximum electric field, E, in the region, in units of volts per meter?
I know E=cB=(3E8m/s)(.00143T)=4.29×105
I can't figure out b) and C)

b) What is the period of the charge oscillation?


c) What is the magnitude of the Poynting vector?

Explanation / Answer

Given that maxmum magnetic field Bmax = 0.00143 T speed of light c =3.0 x 10^8 m/s -------------------------------------------------------------------------- a) The maximum electric field is Emax = Bmax c = (0.00143 T)(3.0 x 10^8 m/s) = 429000 N/m b) The time period of the oscillation is T = 1/f = 1/(1.0 Hz) =1 .0s c) The magnitude of the poynting vector is S = EB/uo = (429000 N/m)(0.00143 T)/(4p x 10^-7 H/m) = 4.88x 10^8 W/m2

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote