# Quiz 3 - a , with the center of the circle at the origin....

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ECE3025, Summer 2011, Quiz 3 June 9, 2011 1. (3 points) Describe the standard procedure to ﬁnd the capacitance across two conductors in a speciﬁc geometry. 2. (4 points) A parallel plate capacitor uses a material that will undergo dielectric breakdown at ﬁeld strengths of 1 MV / m. When the electric ﬁeld is this strong, the dielectric begins to pass current through it. If the parallel plates have area 1 m 2 , and the relative permittivity of the dielectric is 3, how much energy can be stored in the electric ﬁeld of this capacitor when the electric ﬁeld is no more than half of the dielectric breakdown ﬁeld strength. 3. (18 points) Consider a thin wire in the shape of the circle having radius
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Unformatted text preview: a , with the center of the circle at the origin. “Thin” means that it can be treated as if it had line charge density ρ l and the radius of the wire can be treated as if it were 0. A charge Q is placed on the wire. a) Derive the voltage and the electric ﬁeld on the z-axis ( x = 0 ,y = 0). above the wire. b) Find the voltage and electric ﬁeld on the z-axis ( x = 0 ,y = 0) if the wire is replaced with a thin metallic disk of radius a and the same charge is placed on it. c) Does the disk produce a larger electric ﬁeld at (0 , ,z ) than the wire? 1...
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## This note was uploaded on 02/08/2012 for the course ECE 3025 taught by Professor Citrin during the Summer '08 term at Georgia Tech.

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