Lasers can be constructed to produce an extremely high-intensity electromagnetic

Question

Lasers can be constructed to produce an extremely high-intensity electromagnetic wave for a very brief time. Such lasers are 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 0.33 times 10^11 V/m for a time of 1.25 ns. Randomized Variables E_0 = 0.33 times 10^11 V/m t = 1.25 ns What is the maximum magnetic field strength in the wave B_0, in teslas? B_0 = What is the intensity of the beam I, in watts per square meter? How much energy, in kilojoules, does one pulse of the laser beam deliver to a 1.00 mm^2 area?

Explanation / Answer

a) maximum magnetic field strength , Bo = Eo/c

                                                             = (0.33 * 1011)/(3 * 108)

                                                             = 110 T

b)   intensity of beam , I = (0.33 * 1011 * 110)/(2 * 4 * 3.14 * 10-7)

                                        = 1.445 * 1018 W/m2

c)   Energy = (1.445 * 1018) * (10-6) * (1.25 * 10-9)

                    =   1806.25 J

                   =   1.806   kJ

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