When you use Maxwell's equations to determine electric and magnetic fields, a lot depends on making the "right" choice for the integration path. What happens if you choose the "wrong" path? Do the equations still hold? Consider a parallel-plate capacitor with circular plates, but use a rectan- gular integration path that has two sides parallel to the plates and two sides perpendicular to them, as in Figure P30.32. What do you get? • Figure P30.32 - integration path

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32. When you use Maxwell's equations to determine electric
and magnetic fields, a lot depends on making the “right"
choice for the integration path. What happens if you choose
the "wrong" path? Do the equations still hold? Consider a
parallel-plate capacitor with circular plates, but use a rectan-
gular integration path that has two sides parallel to the plates
and two sides perpendicular to them, as in Figure P30.32.
What do you get? •
Figure P30.32
- integration
path
Transcribed Image Text:32. When you use Maxwell's equations to determine electric and magnetic fields, a lot depends on making the “right" choice for the integration path. What happens if you choose the "wrong" path? Do the equations still hold? Consider a parallel-plate capacitor with circular plates, but use a rectan- gular integration path that has two sides parallel to the plates and two sides perpendicular to them, as in Figure P30.32. What do you get? • Figure P30.32 - integration path
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