Art integrated project of physics class 12
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This document discusses Maxwell's equations and the displacement current. It explains that when a capacitor is charging or discharging, the changing electric field between the plates generates a magnetic field. This induced magnetic field is equivalent to a current flowing through the plates, called the displacement current. The document also provides the equation for the displacement current and shows Ampere's law modified to include this displacement current term, known as the Ampere-Maxwell law.
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- 4. Recall Ampere’s Law 0 encBds I
- 5. Imagine a wire connected to a charging or discharging capacitor. The area in the Amperian loop could be stretched into the open region of the capacitor. In this case there would be current passing through the loop, but not through the area bounded by the loop.
- 6. THERE MUST BE A MAGNETIC FIELD GENERATED BY THE CHANGING E- FIELD BETWEEN THE PLATES. THIS INDUCED B-FIELD MAKES IT LOOK LIKE THERE IS A CURRENT (CALL IT THE DISPLACEMENT CURRENT) PASSING THROUGH THE PLATES.
- 7. PROPERTIES OF THE DISPLACEMENT CURRENT• For regions between the plates but at radius larger than the plates, the B-field would be identical to that at an equal distance from the wire. • For regions between the plates, but at radius less than the plates, the Ienc would be determined as through the total I were flowing uniformly between the plates.
- 8. Equation for Displacement current dE dt dI 0
- 9. Modified Ampere’s Law (Ampere-Maxwell Law) dt dE B ds enc 0 I 00 0 enc 0Id ,encBds I