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## Homework Statement

## Homework Equations

Provided in the questions I believe. Here's the triangle from question two.

## The Attempt at a Solution

__QUESTION SET 1 TOP OF PICTURE__A.) I didn't know how to just "guess" what the constant should be so I actually worked it out. I found the constant to be

c=[itex] \mu [/itex]

_{0}I

_{0}/ [itex] 4 \pi [/itex]

But how would I just know as they want me to?

B.) I'm fine on this one.

C.) I think I'm fine on this one, and we're told to skip it. However, I believe it will grow linearly until it hits the edge of the wire then drop to zero.

Extra Question

**not shown:**Is the answer unique?

I don't know how I'm supposed to know that with what's given. I know we can add any arbitrary constant we want for any vector potential (or so I was told) but I'm not really sure how to approach this part.

__QUESTION SET 2 BOTTOM OF PICTURE__A.) I used the most general form for Biot-Savart law:

I'll wait to work on B since I think my part A is wrong.

Thanks in advance to any an all who give some help on this. :D