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    A high-powered laser beam

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A high power laser providing a nearly collimated beam with an average of 50 KW is used recently by the US Army as a weapon to shoot down a drone 3.6 km away. The laser beam diameter on the target is about 0.25-m after propagating such a distance.

    (a) Find the average intensity at the target.
    (b) Find the peak electric field E(max) and peak magnetic field B(max) of the beam at the target.
    (c) Find the radiation pressure P when the laser beam is shining on the drone and is totally absorbed by the target?

    © BrainMass Inc. brainmass.com December 24, 2021, 11:48 pm ad1c9bdddf
    https://brainmass.com/physics/applied-physics/high-powered-laser-beam-603664

    SOLUTION This solution is FREE courtesy of BrainMass!

    a. Intensity,
    I = P / Area = P/ (pi*d^2/4) = 50*10^3/(pi*0.25^2/4) = 1.02 MW m^-2

    b. e0 = 8.86*10^-12 C^2/N/m^2
    mu0 = 4pi *10^-7 T m/A

    Intensity,
    I = e0 * c * E^2 = c B^2 / mu0
    => E = sqrt (I/e0 * c) = sqrt (1.02*10^6 /(8.86*10^-12 *3*10^8)) = 19589.47 V m^-1

    Emax = E*sqrt(2) = 27703.69 V m^-1

    Bmax = Emax/c = 9.23*10^-5 Tesla

    c. Pressure, P = e0*E^2 = 8.86*10^-12 * 19589.47^2 = 0.0034 N m^-2

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 11:48 pm ad1c9bdddf>
    https://brainmass.com/physics/applied-physics/high-powered-laser-beam-603664

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