Will upvote right away Please help

Post by **answerhappygod** » Mon May 02, 2022 5:18 pm

: Will Upvote Right Away Please Help 1 (117.7 KiB) Viewed 50 times

Displacement Current and Ampere's Law First Name: Last Name: Part of a circuit with a charging capacitor is shown here. The current is in +2 and the plates are parallel to the xy plane as the coordinate axes indicate. You may assume that the circular plates have a radius R but are effectively infinite. The diagram shows three circular Amperian loops that you will use to calculate the magnetic field at different locations. When we first saw Ampere's Law, it was still incomplete. The correct version is: $B. ds = Molpassing through + мое о (ΦΕ dt 1 2 3 Z I R 1. Use Ampere's Law and Amperian loop #1 to determine the magnetic field in that region. (This should be a review.)
In Questions #2-6, we will use Ampere's Law and Amperian loop # 2 to determine the magnetic field along that loop. This loop is between the capacitor plates at a radius p > R. 2. Does any current pass through that loop? Explain. 3. Is there an electric field present in that region? If so, determine its magnitude and direction. You may assume that the plates have a charge density o(t). This should be a review of Gauss' Law. Make sure you show all appropriate mathematical steps and draw your Gaussian surface on the diagram before Question #1. dog = 0 dr 4. Is the electric flux through that loop changing with time? In other words, is or not? Explain your reasoning. dop 5. Determine E (which we refer to as the displacement current) through that loop. dt 6. Now use Ampere's Law and Amperian loop #2 to determine the magnetic field along that loop. If you have made all the appropriate substitutions, then your answers to Questions # 1 and # 6 should be identical! In other words, a compass placed along either Amperian loop would measure the same magnetic field. However, if you place the compass "inside" the capacitor, you will find that the magnetic field varies differently with p than it does outside. Let's now calculate the magnetic field in that region. 7. Use Ampere's Law and Amperian loop #3 (which is between the capacitor plates at a radius p ≤ R) to determine the magnetic field along that loop. You should basically be repeating Questions #2-6 but for loop # 3.
Displacement Current and Ampere's Law 8. Verify that your answers to Questions #6 and #7 match at p = R. 9. On the axes below, graph |B| versus p using the result from Question #1. Also, graph B versus p using the combination of the results from Questions #6 and #7. This will allow you to see the difference between the magnetic field around the wire and the magnetic field in the region "between the capacitor plates". Make sure that you label these different graphs appropriately.