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Magnet Deflection Example
This example fits a function involving an arc tangent and a
variable to the third power. This is an interesting physics
problem. If a magnet is placed due east of a compass, the
deflection of the compass needle from north is equal to the
arc tangent of the ratio of the strength of the magnet's field
relative to the earth's magnetic field. The strength of the
magnet's field at the compass is inversely proportional to the
cube of the distance from the magnet to the compass. Thus,
the function relating these terms is
Deflection = atan(Strength / Distance ^ 3)
The deg() function converts an angle in radians to degrees. In
the example, Deflection and Distance are the variables, and
the value of the Strength parameter is determined.
Title "Deflection of compass due to magnet east of it";
Variable Distance; // Distance of magnet from compass (inches)
Variable Deflection; // Deflection in degrees
Parameter Strength; // Strength of magnet
Function Deflection = atan(Strength / Distance ^ 3);
Plot xlabel="Distance from compass (cm)",ylabel="Deflection of compass";
Tolerance 1E7; // Specify convergence criterion
Data;
[ data goes here ]
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