Find radiation resistance of a wire

[leonne]

Find radiation resistance of a wire...

Homework Statement

Find radiation resistance of a wire joining the two ends of a dipole.

Homework Equations

P=I²R

The Attempt at a Solution

Ok so to solve this problem I need to set the average power = to total power and solve for R
I thought P=I²R is the average power, but its not and not sure how to find it.
The solution first finds P=I²R =qo²w²sin²(wt) R than somehow from this they get (qo²w²R)/2
No idea how they got that, no other formula in the section seems to fit this.

 

[tiny-tim]

hi leonne!

(have an omega: ω )

The solution first finds P=I²R =qo²w²sin²(wt) R than somehow from this they get (qo²w²R)/2

the average value of sin²ωt is 1/2

(because sin²ωt = (1 + cos2ωt)/2)

the usual formula is P_average = I_rms²R = I_max²R/2

 

[leonne]

o ok thanks