hw5 - is applied across the terminals of the capacitor. (b)...

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University of California, Berkeley Fall 2010 EE 42/100 Prof. A. Niknejad Problem Set 5 [revA - 10/6/10] Due Friday (5pm), October 15, 2010 1kΩ 4kΩ 1MΩ 1MΩ 1kΩ v d 1 v d 2 v c 1. A sensitive measurement is made using the above amplifer. Two small signals v d 1 = 10 μ V cos ω 1 t and v d 2 = - 8 μ V cos ω 1 t appear in the presence o± a strong common-mode signal v c = 155 mV cos ω 2 t . (a) Find the output signal and the signal-to-common-mode ratio. (b) Repeat the calculation but now assume that due to manu±acturing tolerances, the component values only match within 1%. Use the worst case mismatch. C 1 C 2 C 3 C 4 C 5 C 6 C 7 C 8 C 9 2. Using the ‘+’ and ‘ || ’ operators, fnd the equivalent capacitance o± the above network. Note that || is an operator, x || y = xy/ ( x + y ), and does not indicate topology.
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1mA t = 5ns t i ( t ) t = 13ns 3. (a) Draw the voltage across the capacitor when the above current waveform Fows into the capacitor. (b) What is the total charge transferred onto the capacitor? (c) What is the net energy? v ( t ) 1V t ( μ s) 5 10 4. (a) Draw the current through the capacitor when the above shown voltage waveform
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Unformatted text preview: is applied across the terminals of the capacitor. (b) What is the net charge transferred to the capacitor? (c) What is the net energy? 2 C 1 v s v o R 2 R 1 R 3 R 3 R 2 R 2 5. (a) Find the transfer function of the above circuit. (b) Calculate the output signal when the circuit is excited by a periodic square wave signal input signal shown below. The period of the signal is 1 s and the rise and fall times are 10% of the period. C 1 = 9 . 7nF, R 1 = 15k, R 2 = 130k, and R 3 = 570. v ( t ) 1V t ( s) 1 6. Suppose you want to store enough energy in a capacitor so that you can run your 1kW microwave oven for 30 minutes. How big is the required capacitance if you can charge it up to 100V? What are the capacitor dimensions if you build it as a parallel plate square capacitor with a dielectric with relative permittivity r = 10 with a thickness of 1 m. 3...
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This note was uploaded on 10/31/2010 for the course EE 100 taught by Professor Boser during the Fall '07 term at University of California, Berkeley.

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hw5 - is applied across the terminals of the capacitor. (b)...

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