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Problem 28.8: Current carrying plate
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When you push the "add current" button, current-carrying wires are added to a region of space with a uniform magnetic field to form a plate carrying current either out of the screen or into the screen (position is given in centimeters and the magnetic field strength is given in millitesla). Restart.
- Before you add the current, draw an Amperian path that makes use of the symmetry of the field. What is the value of the path integral?
- Add the current. Draw a path that encloses a number of wires and use this path to find the current per unit length along the x axis (i.e., if you think of the plate as made up of the wires you see in cross section, how much current is carried on the wires from x = 0 cm to x = 1 cm?). Ignore edge effects.
Problem authored by Melissa Dancy and Wolfgang Christian.