4. The rheostat was set to its highest resistance.
5. The switch was closed, and the rheostat was adjusted until the compass needle was deflected by 10o. The current and the angle were recorded in the results table.
6. The rheostat was adjusted until the needle was deflected y 20o. The current and the angle were recorded in the results table.
7. This process was repeated for 30o, 40o, 50o, 60o, 70o, 80o. .
8. The tangents were found for each angle and then recorded.
PART B.
1. Part A was repeated, with the only difference being that the current remained constant at 1A. It was repeated for 7, 9, 11, and 13 coils of wire. The results were recorded.
.
Results:.
Current (amps) Deflection Angle (∂) Tan ∂.
27 10 0.176326980.
55 20 0.363970234.
88 30 0.577350269.
1.1 40 0.839099631.
1.59 50 1.191753593.
1.95 60 1.732050808.
2.43 70 2.747477419.
Deflection Angle ∂ Number of Coils tan ∂.
55 13 1.428148007.
47 11 1.07236871.
38 9 0.781285626.
26 7 0.487732588.
Note: Graph 1 - tan∂ vs current (next page).
Graph 2 - current vs no. of coils (next page).
.
Discussion.
PART A.
Note: Refer to Graph 1.
The straight line indicates that as the current increases, the tan∂ value also increases. It can also be stated that the compass needle moves due to the magnetic induction of the coil, which also indicated that the induction is proportional to the current. .
Tan∂ is proportional to B.
Tan∂ is proportional to I.
Therefore: B is proportional to I.
Tan ∂ = B/M.
B = M B/M = I.
Therefore: if tan∂ = 1 then B = M.
It can then be seen that at:.
∂ = 45o, B = M.
looking at the graph and using a graphics calculator, it can be predicted that the value of the current in the wire that would cause B to equal M would be 1.07925A, as this is the value shown on the graph when tan∂ = 1.
The earths magnetic field strength at Mooloolaba is 52317.9 nT. The inclination is 55.585o from the earth. Due to the fact that the experiments were not conducted at this angle, the results will need to be calculated using the value of the magnetic field strength parallel to the earths surface.
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