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A Hall probe is constructed from a semi-conducting material of thickness 0.4 millimeters. When 5 amps of current passes through the material a Hall voltage of .6 volts is produced when the probe is placed in a uniform magnetic field of 0.01 Tesla. Assuming the current is due to "free electrons" in motion, determine the following:

a. The "free electron density" of the semi-conducting material

b. The Hall voltage produced by the Hall probe when it is placed in a magnetic field of 0.3 Tesla

My opinion- I am mostly concerned with part a because I am lost. I am thinking you would use the equation for Coloumb's law Fe=ke*(q1*q2)/r^2 and solving for ke. Does it sound like I'm on the right track?

For part b I was thinking I would use DeltaV=E*d=vdBd

One of my main problems is just knowing what to plug in where. If anyone can help please do. Your assistance will be greatly appreciated! Thanks!