Why would the slope of the graph of Fz vs dBz/dz for helmholtz coils increase as...
Why would the slope of the graph of Fz vs dBz/dz for helmholtz coils increase as I increases instead of remain constant? Fz=magnetic force, dBz/dz=field gradient, I=current
Homework Answers
Fz = u * ∂Bz/∂z where u is magnetic dipole moment and Fz is force experienced by a magnetic dipole placed in the external magnetic field.
The current 'Id' is used to generate the external magnetic field. Bz is a function of Id.
u = I * A, I is loop current of the dipole and A is area of loop
Fz acts on current loop.
as I is increased, u increases which is the slope of the graph of magnetic force Fz and magnetic field gradient.
Hence as I is increased the slope will increase and will not remain constant
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