Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
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).