(a)
First of all, we need to find the area of the circular spot, which is given by:
where r is the radius of the spot, which is half the diameter, therefore
So, the area of the spot is
We know that the power output of the laser is
So the intensity of the laser beam is
(b)
The average intensity of the laser is related to the peak magnetic field strength by
where
c is the speed of light
is the peak magnetic field strength
is the vacuum magnetic permeability
Solving the formula for , we find
(c) 234 V/m
The relationship between magnetic field and electric field in an electromagnetic wave is
where
is the peak electric field strength
c is the speed of light
is the peak magnetic field strength
Substituting numbers into the formula, we find