PH221-Lab 4

# PH221-Lab 4 - Julia Bielaski 0163140 Lab Report#4 PH 232...

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Julia Bielaski 0163140 Lab Report #4 PH 232

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Objective : This experiment is based on the topic of Hall Effect , which involves the interactions between magnetic and electric fields and the free electrons of a material. The materials for the lab consisted of a Hall probe on a mount, a power supply for the probe, a weaker power supply for the solenoid, a rheostat to manipulate the current, a thick solenoid, two multi-meters, a meter stick and mounts, wires, and a slide captor. In the first part of the lab, the current is fixed and the distance from the Hall probe to the solenoid is changed and the magnetic field is determined. In the second part, the hall probe’s position does not change but the current is changed. Method : Equation for the Theory for B: B(L 2 )= μ 0 (nm) [ α (L 2 ) ± β (L 2 )]I 2 n=number of turns/length in a given layer m=number of turns/thickness N=total number of turns =(nL)[R 2 - R 1 ]m nm=(N/L)[R 2 - R 1 ] N=3400 μ 0 : permeability constant α =L 1 ln([R 2 +(L 2 1 +R 2 2 ) 1/2 ] / [R 1 +(L 2 1 + R 2 1 ) 1/2 ]) β = L 2 ln([R 2 +(L 2 2 +R 2 2 ) 1/2 ] / [R 1 +(L 2 2 + R 2 1 ) 1/2 ]) Len’s Law: F B =q(vxB) F B =qvB=magnetic force on +q Note: F E =qE H Charge separation stops when F E =F B qE H =qvB A) E H =vB B) Hall Voltage: V H =E H w * Question 7 * From A and B V H =vBw Note: v= i / Anq V H =vBw=(i/Anq)Bw=(iw/Anq)B (iw/Anq)=k (a constant) V H =kB Measured magnetic field: B=V H -V 0 k Question 1: Converting Hall Voltage into B with the use of the sensitivity factor K
V H =kB For Part 1: V H (V) Pt. 1 B (G) 6.002 1600.533333 6.003 1600.8 6.003 1600.8 6.004 1601.066667

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PH221-Lab 4 - Julia Bielaski 0163140 Lab Report#4 PH 232...

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