29 303l magnetic force and field ch29 the magnetic

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Unformatted text preview: ough a cross section of the conductor in 1 s is 1 C 303L: Magnetic Force and Field (Ch.29) 303L: Magnetic Force and Field (Ch.29) The Magnetic Field of a Solenoid The Magnetic Field of a Solenoid source of a reasonably uniform magnetic field source of a reasonably uniform magnetic field • Solenoid long wire wound in • Applying Ampere’s law to the rectangular the form of a helix • Turns path of length l and width w can be approximated as r r r r ∫ B ⋅ ds = ∫ B ⋅ ds = B ∫ ds = Bl = µ NI circular loops 0 • Ideal solenoid path1 is approached path1 when turns are closely spaced and the length is >> radius of the • Magnetic field in the interior of the solenoid turns B = µ0 •n 303L: Magnetic Force and Field (Ch.29) N I = µ 0 nI l the number of turns per unit length 303L: Magnetic Force and Field (Ch.29) Magnetic Flux Consider an element of area dA on an arbitrarily shaped surface Gauss’s Law in Magnetism defined similar to electric flux magnetic flux vs electric flux • dA is a vector perpendicular to the surface of magnitude dA • B is the magnetic field at this element • Magnetic flux through the element • Magnetic flux through the surface rr B ⋅ dA rr Φ B = ∫ B ⋅ dA r r ∫ B ⋅ dA = 0 • The SI unit of magnetic flux is weber (1 Wb = 1 Tm2) ...
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This document was uploaded on 01/15/2014.

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