An intense lightsource (point) radiates uniformly in all directions.A detector
is placed 5.00 m from the source. The radiation pressure measured by the
detector is 9.00×10-6 Pa. Assume that the surface is perfectly
absorbing and that the radiation is incident normally.
c=3.00×108 m/s
eo=8.85×10-12 C/V·m
I=eocE2o/2
prad=I/c
prad=2I/c
I=P/A
(a) Calculate the intensity of the radiation falling on the detector.
I=pradc=(9.00×10-6 Pa)(3.00×108 m/s)=2700 W/m2
(b) Calculate the electric field amplitude of the radiation at the
detector.
Eo
=
æ è
2I
ceo
ö ø
1/2
=
é ë
2(2700 W/m2)
(8.85×10-12 C/V·m)(3.00×108 m/s)
ù û
1/2
=
1426 V/m
®
1430 V/m
(c) Calculate the average power delivered by the source.
Pav=IA=I(4pr2)=4p(2700 W/m2) (5.00 m)2=8.48×105 W
File translated from
TEX
by
TTH,
version 3.85. On 27 Apr 2016, 10:37.