NAME: _________________I EE325-Fall 2009 Quiz 4 1) Consider a uniform line charge with density lρand of length Lcentered at the origin and directed along the z-axis. Find the electric potential at the point (0,0,z) for /2zL>. (Hint: lnbadzzazzzb′−=′−−∫) (5 points) 00lnV44/2LllLdzzLVρρπεπε−⎡⎤′+⎢⎥==′⎢⎥⎣⎦∫2) Given that 32ˆ10 sinA/mrθ=Jain spherical coordinates, find the current crossing the spherical shell 2 mr=. (Hint: 22sin1 cos2θθ=−). (5 points) 222332300(sin)10 sinsin14 10sin410(1 cos2)0(sin2)0 A2rIddrddrdddddππππθθφθφπθ θπθθπ==×=−=−=∫∫∫∫JS S aiEE325-Fall 2009 Quiz 4 1) Find the electric potential at a point OBrdue to the electric dipole consisting of charge +Q located at
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