A long solenoid of n turns per unit length has a current that slowly increases with time.
Question:
A long solenoid of n turns per unit length has a current that slowly increases with time. The solenoid has radius R, and the current in the windings has the form I(t) = at.
(a) Find the induced electric field at a distance r < R from the solenoid axis.
(b) Find the magnitude and direction of the Poynting vector S at the cylindrical surface r = R just inside the solenoid windings.
(c) Calculate the flux ∫Sn dA into the solenoid, and show that it equals the rate of increase of the magnetic energy inside the solenoid.
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a From Equation 299 B 0 nI 0 nat and m 0 natr 2 Now applying E...View the full answer
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