For the configuration in Prob. 10.15, find the electric and magnetic fields at the cente...

For the configuration in Prob. 10.15, find the electric and magnetic fields at the center. From your formula for B, determine the magnetic field at the center of a circular loop carrying a steady current I , and compare your answer with the result of Ex. 5.6

Reference prob 10.15

A piece of wire bent into a loop, as shown in Fig. 10.5, carries a current that increases linearly with time:

I ( t ) = kt (−∞ < t < ∞).

Calculate the retarded vector potential A at the center. Find the electric field at the center. Why does this (neutral) wire produce an electric field? (Why can’t you determine the magnetic field from this expression for A?)

Figure 10.5