NOTE: in part 2 the energy density is the energy per cubic meter. A laser pulse
ID: 1563385 • Letter: N
Question
NOTE: in part 2 the energy density is the energy per cubic meter.
A laser pulse has an energy of 32 J and a beam radius of 3 mm. The pulse duration is 9 ns and the energy density is constant within the pulse. What is the spatial length of the pulse? Answer in units of m.
(part 2 of 4) What is the energy density within the pulse? Answer in units of kJ/m3.
(part 3 of 4) Find the electric amplitude of the laser pulse. Answer in units of MV/m. 006 (part 4 of 4) 5.0 points Find the magnetic amplitude of the laser pulse. Answer in units of T.
(part 4 of 4) Find the magnetic amplitude of the laserpulse.Answer in units of T.
Answer in units of T.
Explanation / Answer
1. length = c t
= (3 x 10^8) (9 x 10^-9)
= 2.7 m
2. Energy density = 32 / (pi x (3 x 10^-3)^2 x 2.7 )
= 419.2 x 10^3 J/m^3
= 419.2 kJ/m^3
3. Intensity = (419.2 x 10^3)(3 x 10^8)
= 1.2575 x 10^14 W/m^2
I = E^2 / 2 u0 c
1.2575 x 10^14 = E^2 / (2 x 4pi x 10^-7 x 3 x 10^8)
E = 307.9 x 10^6 V/m
E = 307.9 MV/m
4. B = E/c = 1.03 T
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