Fields of a long uniform solenoid: Consider the fields of a long uniform solenoi

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Fields of a long uniform solenoid: Consider the fields of a long uniform solenoid as shown in Figure 6.34, having N turns per meter and carrying a current I. The length of the solenoid is l, and its radius is a. r > > a, R1 > > a, and R2 > > a. (a) Starting from the vector potential for a single magnetic dipole (A vector =mu0rn vector x R/4piR^2) find an expression for the magnetic flux density (B vector) for a single loop. The vector identity delta x delta x delta A vector = delta (delta dot A vector) - delta ^2 A vector might be useful.

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