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# ps6 - x(d Calculate the value of the capacitor for W = 1 cm...

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UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences EE 42 / 100 Problem Set 6 Spring 2008 1. A 1 μ F capacitor is charged to 1 V. What is the charge stored on the capacitor? State your result in number of electrons. 2. A parallel plate capacitor is used to measure the fluid level in a tank. It consists of two plates mounted vertically in the fluid tank and spaced by a gap g . The width and height of the plates are W and H , respectively. (a) What is the capacitance when the tank is empty (i.e. filled with air, ε r = 1)? (b) Find the capacitance if the tank is completely filled with a fluid with ε r = ε r 1 ? (c) Derive an algebraic expression for the capacitance versus fluid level x if the capacitor is immersed into a fluid up to height

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Unformatted text preview: x . (d) Calculate the value of the capacitor for W = 1 cm, H = 20 cm, g = 2 mm and ε r 1 = 80 when the tank is empty, completely full, and when it is ﬁlled up to x = 7 cm. 3. Capacitor C 1 is discharged at time t = 0 s (i.e. v 1 = 0). Calculate v 1 at t = 5 μ s for C 1 = 1 nF and I 1 = 50 μ A. 4. Problem 6.25 in Nilsson and Riedel, 8 th edition 1 5. Capacitor C 1 is discharged at time t = 0 s and then charged by the current source as indicated in the plot shown below. (a) Derive an expression for v 1 ( t ) for t = 0 . . . 7 ms. (b) Find v 1 ( t ) for t = 2, 5, 7 and 9 ms and C 1 = 1 mF. (c) Verify your result with circuit simulation (transient analysis). 1 2 3 4 5 6 7 8 9 10 1 2 3 4 Time [ms] Current I 1 [mA] 2...
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ps6 - x(d Calculate the value of the capacitor for W = 1 cm...

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