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, 21000()(4)xzVVx=+. a.Find DGat the surface 0.z=b.Show that the 0z=surface is an equipotential surface. c.Assume that the 0z=surface is a conductor and find the total charge on that portion of the conductor defined by 02,30.xy<<−<<2)A coaxial conductor has radii 0.8amm=, 3bmm=, and a polystyrene dielectric for which 2.56rε=. If 22ˆ()nCPrmr⎛⎞=⎜⎟⎝⎠Gin the dielectric, find: a.and DEGGas functions of rb.Find Vaband χe. 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 ris |E| maximum? b.What is the breakdown voltage if a= 1cm, b= 2cm, and the dielectric material is mica, εr= 6? (The dielectric strength for mica is 200 x 10
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Magnetic Field, Electric charge, dielectric strength, MARIKO WALTON, ENGR IV