Find the B-field inside a toroidal loop AB B Hint: In electrostatics we used Gauss' law to calculate the magnitude of the electric field vectors E (in a symmetrical case). Ampere's law can be used in a similar way for calculating the magnitude of magnetic field vectors B f, B • dỉ = µole Ic is the total current flowing through the Ampere's loop, l is the length of the loop. To apply Ampere's law, choose a circle running through the center of the cavity of the torus. Note, that B is constant and tangent to dl. What 'effects' does this have to the integral?

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Chapter1: Units, Trigonometry. And Vectors
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Find the B-field inside a toroidal loop
AB
B
Hint: In electrostatics we used Gauss' law to calculate the magnitude of the electric field
vectors E (in a symmetrical case). Ampere's law can be used in a similar way for calculating the
magnitude of magnetic field vectors B
f, B • dỉ = µole
Ic is the total current flowing through the Ampere's loop, l is the length of the loop. To apply
Ampere's law, choose a circle running through the center of the cavity of the torus. Note, that
B is constant and tangent to dl. What 'effects' does this have to the integral?
Ов
HoNI
2Tr
B =
HONI
Ho NI
27
B
Transcribed Image Text:Find the B-field inside a toroidal loop AB B Hint: In electrostatics we used Gauss' law to calculate the magnitude of the electric field vectors E (in a symmetrical case). Ampere's law can be used in a similar way for calculating the magnitude of magnetic field vectors B f, B • dỉ = µole Ic is the total current flowing through the Ampere's loop, l is the length of the loop. To apply Ampere's law, choose a circle running through the center of the cavity of the torus. Note, that B is constant and tangent to dl. What 'effects' does this have to the integral? Ов HoNI 2Tr B = HONI Ho NI 27 B
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