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In: Physics

Direction of ?⃗: For each of the following find the direction of ?, ?? ?? ,...

Direction of ?⃗: For each of the following find the direction of ?, ?? ?? , and ?.

(a) An infinite sheet in the ?-? plane that has current density ? = ?? ̂?. Find the directions of the fields:

i. above the sheet

ii. below the sheet

(b) A long solenoid that has a current that changes linearly from ? = ??̂to ? = −??̂in some time ? . Find the directions of the fields:

i. inside the solenoid

ii. outside the solenoid

(c) A long thin wire along the ?-axis has a constant current ? ̂? running through it. The current is suddenly turned off such that it decreases to zero in a short amount of time. (Assume the decrease in current is linear). Find the directions of the fields:

i. before the current is turned off

ii. after the current has reached zero

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