ele232s11_hw01

ele232s11_hw01 - 4 ௗ మ ௜ ௗ௧ మ ൅ 16 ௗ௜...

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ELE232: EE Fundamentals I Page 1 HW #1 (Due: JAN-31-2011) Syracuse University EE Dept. [email protected] 1 H 0.25 F R 5 t = 0 1 50m 5 10 v + NOTE: Please remember to STAPLE, use only ONE SHEET per problem, tear off any spiral notebook EDGES, BOX or UNDERLINE your final answer. Problem #1 : For the circuit below: a) Determine the time constant. b) Find the time for the circuit to be fully charged or discharged. c) Determine the voltage across the capacitor after 5  d) What is the voltage across the capacitor before t = 0. e) Find and SKETCH time-dependent equation for voltage across the capacitor between t = 0 and 5 (your x-axis will be in seconds, while the y-axis will be in Volts). Problem #2 : Solve 5 ௗ௧ ൅10 ௗ௩ ௗ௧ െ 15ݒ ൌ 0 for v ( t ), given v (0) = 10V and ௗ௩ ௗ௧ (0) = 0. Problem #3 : Solve
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Unformatted text preview: 4 ௗ మ ௜ ௗ௧ మ ൅ 16 ௗ௜ ௗ௧ ൅ 16݅ ൌ 0 for i ( t ), given i (0) = 16A and ௗ௜ ௗ௧ (0) = 4A. Problem #4 : What is the maximum value of R that is needed in order to produce an overdamped natural response in the following RLC circuit? What about the value of R required to produce an underdamped response? Critically damped? Problem #5 : a) Find the initial conditions in the second-order circuit below [Hint: remember that for a second-order circuit, you have to find two initial conditions: v (0) and ௗ௩ ௗ௧ (0)]. b) In the circuit above, solve for the expression for voltage across the capacitor by deriving a characteristic equation, determining the response of the circuit, and using the initial conditions found above. 50m 30 60 90 10 t = 0...
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This note was uploaded on 05/05/2011 for the course EEE 212 taught by Professor Des during the Spring '11 term at Syracuse.

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