Find the energy stored in a section of length l of a long solenoid (radius R, current I...

Find the energy stored in a section of length l of a long solenoid (radius R, current I , n turns per unit length), (a) using Eq. 7.30 (you found L in Prob. 7.24); (b) using Eq. 7.31 (we worked out A in Ex. 5.12); (c) using Eq. 7.35; (d) using Eq. 7.34 (take as your volume the cylindrical tube from radius a < R out to radius b > R).

Equation 7.30

Equation 7.31

Equation 7.35

Equation 7.34