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Posted: **Sat Feb 26, 2022 11:49 am**

: An Infinite Cylinder Of Radius A Carries A Surface Current That Increases With Time K At 0 Where A Is A Positive Con 1 (20.89 KiB) Viewed 55 times

: An Infinite Cylinder Of Radius A Carries A Surface Current That Increases With Time K At 0 Where A Is A Positive Con 2 (12.5 KiB) Viewed 55 times

An infinite cylinder of radius a carries a surface current that increases with time, K = at 0, where a is a positive constant. Let the z axis be the axis of the cylinder. The magnetic field in the quasi-static approximation is given by Bit) = { 0 s>a Suppose a circular ring of wire of radius b >> a and resistance R is coaxial with the solenoid
1) By integrating the Poynting vector over the entire surface of the cylinder, show that the power delivered to the ring (P = 1;R) came from the cylinder. Here's a useful integral: dz 2 (52 + 22)3/2 62 Loreto =