Introduction to Physical Systems Dr. E.J. Zita, The Evergreen State College, 30.Sept.02 Lab II Rm 2272, firstname.lastname@example.org, 360-867-6853. Program syllabus, schedule, and details online at http://academic.evergreen.edu/curricular/physys/0607. Zita@evergreen.edu, 2272 Lab II TA = Jada Maxwell.
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Program syllabus, schedule, and details online at http://academic.evergreen.edu/curricular/physys/0607
Zita@evergreen.edu, 2272 Lab II
TA = Jada Maxwell
Dot product: A.B = Ax Bx + Ay By + Az Bz = A B cos q
Cross product: |AxB| = A B sin q =
Dot product: work done by variable force
L = r x mv
Del differentiates each component of a vector.
Gradient of a scalar function = slope in each direction
Divergence of vector = dot product = what flows out
Curl of vector = cross product = circulation
Ex: If v = E, then div E = charge; if v = B, then curl B = current.
Position vector = location of a point with respect to the origin.
Separation vector: from SOURCE (e.g. a charge at position r’) TO POINT of interest (e.g. the place where you want to find the field, at r).
What surface charge density does it take to make Earth’s field of 100V/m? (RE=6.4 x 106 m)
2.12 (p.75) Find (and sketch) the electric field E(r) inside a uniformly charged sphere of charge density r.
2.21 (p.82) Find the potential V(r) inside and outside this sphere with total radius R and total charge q. Use infinity as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V(r).