Question

A laser produces an electromagnetic wave with a maximum electric
field strength of 1.00*×*1011 V / m for a time of 1.00 ns.
(a) What is the maximum magnetic field strength in the wave? (b)
What is the intensity of the beam? (c) What energy does it deliver
on a 1.00-mm2 area?

Answer #1

electric field , E = 1 *10^{11} V/m

time ,t = 1 ns

(a)

maximum magnetic field = electric field/c

maximum magnetic field = 1*10^{11}/(3
*10^{8})

maximum magnetic field = 333.33 T

the maximum magnetic field is 333.33 T.

(b)

Intensity of the beam = 0.5 *
E_{m}^{2}/(c*u0)

Intensity of the beam = 0.5 * (1*10^{11})^{2}/(3
*10^{8} * 4*pi *10^{-7})

Intensity of the beam = 1.32*10^{20} W/m^{2}

(c)

Energy delivered by the pulse = Intensity * Area * time

Energy delivered by the pulse = 1.32*10^{20} * 1
*10^{-6} * 1 *10^{-9}

Energy delivered by the pulse = 1.32*10^{5} J

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