Phys 200C – HW10/11
Due Wednesday -May-18 noon to Daniel Cebra’s Mailbox (Graded by: Daniel Hale)
10-1.
Consider a half wave antenna centered at the original and extending from –/4 to
/4 such that the total length d = /2. Find the radiation electric field for this
system using the equation:
i 0  sin ei ( kr t )θˆ ikz cos 
E
I(z)dz
l e
4r
Then using this result and the following equations, solve for the total power
radiated.
l
BR 
rˆ  E 
c
S 
1
Re E  B *
2 0
P   S  da
10-2. Consider a particle with charge q moving non-relativistically in a circle of radius
R in the x-y plane with constant angular frequency 0 << c/R. Show that the time
average angular intensity is given by the formula
q 2 04 R 2  1 2 
dP

1  sin  
d 16 2 0 c 3  2

10-3.
Problem 9.16 in Jackson.