Chapter 5.2, Problem 3dT

You will now examine the relationship between the number of field lines through a surface and the angle between $\stackrel{\to }{A}$ and $\stackrel{\to }{E}$ .
(You will need a protractor to measure angles.)

1. Place the loop over the nails so that the number of field lines through k is a maximum. Determine the angle between $\stackrel{\to }{A}$ and $\stackrel{\to }{E}$ . Record both that angle and the number of field lines that pass through the loop.

2. Rotate the loop until there is one fewer row of nails passing through it. Determine the angle between $\stackrel{\to }{A}$ and $\stackrel{\to }{E}$ and record your measurement. Continue in this way until $\theta =180°$ .

3. On graph paper, plot a graph of nversus $\theta$ .
(Let the number of field lines through the surface be a negative number for angles between $90°\text{and}180°$ .)