Chapter 28, Problem 75E

(a)

To determine

The expression for the magnitude of $B$ of the magnetic field at a point on the axis a distance $x$ to the right of point $p$.

(b)

To determine

The graph of $B$ versus $x$ for $x=0$ to $x=a/2$ and compare this graph to one for the magnetic field due to the right hand coil alone.

(c)

To determine

Obtain an expression for the magnitude of the magnetic field at point $p$.

(d)

To determine

The magnitude of the magnetic field at $P$ if $N=300$ turns

(e)

To determine

$dB/dx$ and $d^{2}B/d{x}^2$ at $P\left(x=0\right)$ and discuss the result.