tsl199 - Current within ring: dI = dQ T = (2 rdr ) 2 = rdr....

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Magnetic Moment of a Rotating Disk Consider a nonconducting disk of radius R with a uniform surface charge density σ . The disk rotates with angular velocity . Calculation of the magnetic moment : Total charge on ring: Q = σ ( πR 2 ) . Divide the disk into concentric rings of width dr . Period of rotation: T = 2 π ω .
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Unformatted text preview: Current within ring: dI = dQ T = (2 rdr ) 2 = rdr. Magnetic moment of ring: d = dI ( r 2 ) = r 3 dr . Magnetic moment of disk: = Z R r 3 dr = 4 R 4 . Vector relation: ~ = 4 R 4 ~ = 1 4 QR 2 ~. tsl199 p.1/1...
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This note was uploaded on 04/30/2008 for the course PHYS 204 taught by Professor Andrevantonder during the Spring '07 term at Rhode Island.

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