Lasers can be constructed that produce an extremely high intensity electromagnet

Question

Lasers can be constructed that produce an extremely high intensity electromagnetic wave for a brief time—called pulsed lasers. They are used to ignite nuclear fusion, for example. Such a laser may produce an electromagnetic wave with a maximum electric field strength of 1.06 1011 V/m for a time of 1.50 ns.

The maximum magnetic field strength in the wave is 353.3 T.

(a) What is the intensity of the beam?
________W/m2

(b) What energy does it deliver on a 1.22-mm2 area?
________ kJ

Please show your work! Thank you!

Explanation / Answer

a)

I = E^2/(2 u0 c)

I = (1.06e11)^2/((2)*(4*3.1416e-7)*(3e8))

I = 1.49 x 10^19 W/m^2

b)

E = I A t

E = (1.49e19) * (1.22e-6) * (1.50e-9)

E = 27.3 kJ

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