10Fall_hw1 - Z → ∞ 3 A circuit consists of a current...

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ECE210 - Fall 2010 - Homework 01 Due: Sep 01, 2010 at 5 p.m. in the ECE210/211 homework box which is is located in the basement of Everitt lab. 1. Plotting functions Plot the following functions, with fully labeled axes: (a) sin( πt ) (b) Determine the freq for (a) above (c) cos( πt ) (d) Determine the freq for (c) (e) Form a function y ( t ) such that the real part <{ y ( t ) } = cos(3 t ) and the imaginary part ={ y ( t ) } = sin(3 t ) (You don’t need to plot this one) (f) Form a function y ( t ) such that <{ y ( t ) } = cos(3 t ) and ={ y ( t ) } = sin( t ) (You don’t need to plot this one) (g) plot the following ( u ( t ) = ( 1 , t > 0 0 , t < 0 , i.e., is the step function) i. u ( - t ) ii. u (1 - t ) iii. u ( t + 3) iv. u ( t ) u ( t - 1) v. u ( t ) u ( t + 1) 2. Assume a current source of I 0 = 3 A (amps), connected to a resistance of R Ω (ohms). (a) What is the voltage across the resistor? (b) If the load impedance is Z ohms what is the voltage? (c) When the source is connected to a capacitor, what is the voltage v c ( t ) across the capacitor? (d) What happens to the voltage if the impedance is an open-circuit (
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Unformatted text preview: Z → ∞ )? 3. A circuit consists of a current source of I amps at one end of a resistor of R ohms ( I goes from ground to the left side of the resistor). The right side of the resistor is connected to a grounded voltage source of V volts. (a) Find the voltage across the current source. (b) Find the current through the voltage source. 4. A current and voltage source are in parallel, with ground at the bottom. There is a resistor in parallel with the two sources. As in three, (a) Find the voltage across the current source. (b) Find the current through the voltage source. 5. In the following circuit, determine R and v s : +-R v s 2Ω 4Ω 4V 2V + -- + 6. Textbook problem 1.2 7. Textbook problem 1.3 8. Textbook problem 1.5 9. Textbook problem 1.7 10. Textbook problem 1.10 1...
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