Question 10 (1 point) In a Hall-type experiment a current of (2.5710x10A-1) A is

Question

Question 10 (1 point) In a Hall-type experiment a current of (2.5710x10A-1) A is sent through the length of a metal strip having thickness (3.110x10A-4) m and width (4.03x10A-3) m. The Hall voltage across the width is measured to be (1.5710x10A-4) V when a magnetic field of (3.566x10A-1) T is used. What is the number of charge carries per unit volume (assuming the charge carriers possess a charge of q=e)? Provide your answer in (charge carriers)/m Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer

Explanation / Answer

given
I = 2.571*10^-1 A
width, w = 4.03*10^-3 m
thickness, t = 3.11*10^-4 m
B = 3.566*10^-1 T
VH = 1.571*10^-4 T
n = ?
we know, Hall voltage

VH = B*I/(n*e*t)

n = B*I/(VH*e*t)

= 3.566*10^-1*2.571*10^-1/(1.571*10^-4*1.6*10^-19*3.11*10^-4)

= 1.1728*10^25 charge carriers/m^3

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