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https://texercises.com/exercise/numerical-calculation-of-magnetic-flux/
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Exercise:
Write computer programs to calculate the magnetic flux for the following two situations: abcliste abc The flux of a magnetic field in the z-direction through a square plate with sides a in the xy-plane centre at the origin. The strength of the magnetic field is given by the expression Bx yB_left-fracx^+y^a^right abc The flux of a magnetic field through a surface defined by the function zx yssczmaxleft-leftfrac xaright^right This surface corresponds to a parabola in the xz-plane that is extruded along the y-axis. The surface is limited by the conditions xin -a/ a/ and yin -L/ L/ i.e. it has a width a and a length L. medskip The magnetic field is given by the expression vecB pmatrixalpha xB_ e^-beta z pmatrix The x-component linearly increases in the direction of the x-axis i.e. the vector is tilted with respect to the z-axis unless x. Its z-component has its reference value B_ on the xy-plane and it decreases exponentially along the positive z-axis. abcliste

Solution:
A commented Jupyter notebook with an example program is attached as a file.
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Exercise:
Write computer programs to calculate the magnetic flux for the following two situations: abcliste abc The flux of a magnetic field in the z-direction through a square plate with sides a in the xy-plane centre at the origin. The strength of the magnetic field is given by the expression Bx yB_left-fracx^+y^a^right abc The flux of a magnetic field through a surface defined by the function zx yssczmaxleft-leftfrac xaright^right This surface corresponds to a parabola in the xz-plane that is extruded along the y-axis. The surface is limited by the conditions xin -a/ a/ and yin -L/ L/ i.e. it has a width a and a length L. medskip The magnetic field is given by the expression vecB pmatrixalpha xB_ e^-beta z pmatrix The x-component linearly increases in the direction of the x-axis i.e. the vector is tilted with respect to the z-axis unless x. Its z-component has its reference value B_ on the xy-plane and it decreases exponentially along the positive z-axis. abcliste

Solution:
A commented Jupyter notebook with an example program is attached as a file.
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Branches
Magnetism
Tags
electromagnetic induction, magnetic flux, numerical calculation, program
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Difficulty
(6, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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Link