Unformatted text preview: reasoning. b) Calculate the electric field as a function of x and L for x>L. c) Reexpress your answer in terms of Q=2 L and consider the case of x>>L. Show that the answer to part (b) approaches that for a point charge. (To do this you will need to combine terms or do a Taylor expansion. For the latter you may find it useful to know that 1 ሺ1 ߜሻ ൗ ൎ 1 െ ߜ ). 3) An arc of radius R spans an angle between 0 and /2 in the x-y plane. It has a linear charge density ( ) that depends on as ( )= cos 2 where >0. We want to find the field at the origin (x=0=y). a) Sketch ( ) for ߠ ∈ ሾ0, గ ଶ ሿ . b) Before doing any calculations, indicate, roughly, the direction of the field at the origin (relative size of the x and y components of the field). c) Calculate E x . d) Calculate E y . e) What is the magnitude of the field, and what angle does it form with the x-axis? x y R...
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- Fall '11
- Ode, Electric charge, Fundamental physics concepts