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Unformatted text preview: Hard Stuff Show work exaggerate sheets provided
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1. Two circula; wire, one of radius R1 and the other of radius R2 , where R; >> R2 3 New and (toplanar Calculate the mutual inductance between the
two turns in the approximation that the ﬁeld produced by turn 1 does not vary over the area of turn 2. (Neumann' s formlﬂa 13 NOT a good we} to do this!) (20 points) @A current density is described"in cylindrical coordinates by " u'o . . w
.7 =JoEk 0 or < a
=0 e {f Calculate the magnetic ﬁeld in' the two regions. (30 points) 3 Consider the AC circuit below.
1 Find the effective impedance driven by the voltage source. (10 points)
Use your answer to. determine the ampIi‘tude and phase of the current supplied by the source to the circuit. (20 points)
1:) Make a crude plot of the current amplitude as a 'ﬁmction of w ‘ (10"points) points}:
5. A right circular cylindrical tube of radius R , length 32 . and negligible wall thickness
Spine about its axis at angular frequency w . A charcre Q is uniformly distributed over the side wall of the cylinder. Calculate the— at the point on the axis equidistant from the two ends of the cylinder [30 points} z) Biof“ ”Java“? I) W"‘5 (had In! ...
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 Spring '10
 MichaelGorman
 Physics

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