Question
Background information: Bx=(4/5)3/20NI/RBx=(4/5)3/20NI/R For a Helmholtz coil pair carrying current II in N turns of wire on a radius RR separated by RR this formula
Background information:
Bx=(4/5)3/20NI/RBx=(4/5)3/20NI/R For a Helmholtz coil pair carrying current II in N turns of wire on a radius RR separated by RR this formula allow us to compute the field at the central point where our test magnet hangs by a thread.
Radius in cm = 10
Distance from the midpoint to the plane of either coil in cm = 5
Number of turns of wire on each coil = 200
Number of coils = 2
For each entry in the table calculate the magnetic field in microtesla (10-6 T)at the center of the coil where the magnet is suspended using the Helmholtz coil formula for Bx of a Helmholtz coil given on the class website.
Helmholtz Coil Current | Number of Oscillations Observed | Time Stamp of Oscillation (Elapsed Time) | Frequency of Oscillation |
0.07 A (1 V) | 7 | 14:18-14:36 (18 s) | 7/18 = 0.39 Hz |
0.15 A (2 V) | 15 | 14:47-15:18 (31 s) | 15/31 = 0.48 Hz |
0.22 A (3 V) | 13 | 15:27-15:49 (22 s) | 13/22 = 0.59 Hz |
0.29 A (4 V) | 14 | 16:05-16:25 (20 s) | 14/20 = 0.70 Hz |
0:43 A (6 V) | 15 | 16:40-16:58 (18 s) | 15/18 = 0.83 Hz |
0.57 A (8 V) | 15 | 17:16-17:32 (16 s) | 15/16 = 0.94 Hz |
0.72 A (10 V) | 15 | 17:42-17:56 (14 s) | 15/14 = 1.07 Hz |
0.86 A (12 V) | 15 | 18:06-18:18 (12 s) | 15/12 = 1.25 Hz |
1.00 A (14 V) | 15 | 18:34-18:45 (11 s) | 15/11 = 1.36 Hz |
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