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20092ee1_1_EE_1_HW_4

# 20092ee1_1_EE_1_HW_4 - EE1 Homework 4 DUE MAY 7TH THURSDAY...

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EE1; Homework 4: DUE MAY 7TH THURSDAY 5 PM (THERE IS A COLLECTION BOX NEAR MARIKO WALTON’S CUBICLE IN 66-127 ENGR IV ) 1) Given the potential field, 2 1000 ( ) ( 4) xz V V x = + . a. Find D G at the surface 0. z = b. Show that the 0 z = surface is an equipotential surface. c. Assume that the 0 z = surface is a conductor and find the total charge on that portion of the conductor defined by 0 2, 3 0. x y < < < < 2) A coaxial conductor has radii 0.8 a mm = , 3 b mm = , and a polystyrene dielectric for which 2.56 r ε = . If 2 2 ˆ ( ) nC P r m r = G in the dielectric, find: a. and D E G G as functions of r b. Find V ab and χ e . 3) Dielectric breakdown occurs in a material whenever the magnitude of the field E exceeds the dielectric strength anywhere in that material. In the coaxial capacitor of inner and outer radius of a and b in centimeter, a. At what value of r is | E | maximum? b. What is the breakdown voltage if a = 1cm, b = 2cm, and the dielectric material is mica, ε r = 6? (The dielectric strength for mica is 200 x 10
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