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 0.53 × 10^11 V / m for a time of 0.85 ns.

a) What is the maximum magnetic field strength in wave B0, in teslas?

b) What is the intensity of the beam I, in watts per square meter?

c) How much energy, in kilojoules, does one pulse of the laser beam deliver to a 1.00mm^2 area?

Explanation / Answer

Here ,

electric field , E = 0.53 *10^11 V/m

time ,t = 0.85 ns

a)

maximum magnetic field = electric field/c

maximum magnetic field = 0.53 *10^11/(3 *10^8)

maximum magnetic field = 176.7 T

the maximum magnetic field is 176.7 T

b)

Intensity of the beam = 0.5 * Em^2/(c * u0)

Intensity of the beam = 0.5 * (0.53 *10^11 )^2/(3 *10^8 * 4pi *10^-7)

Intensity of the beam = 3.73 *10^18 W/m^2

c)

Energy delivered by the pulse = Intensity * Area * time

Energy delivered by the pulse = 3.73 *10^18 * 0.85 *10^-9 * 1 *10^-6

Energy delivered by the pulse = 3171 J

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