W08 314 HW05 Solutions

W08 314 HW05 Solutions - EECS 314 Winter 2008 Homework set...

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Unformatted text preview: EECS 314 Winter 2008 Homework set 5 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above Scores for the HW set: Problem 1 2 3 4 5 6 7 Total S c o r e Problem 1 Energy stored in inductors and capacitors at DC Part 1 2 3 Total The Big Picture 1. Inductors store energy in the form of magnetic field. The energy W stored in the inductor equals 2 2 1 I L W ⋅ ⋅ = where L is the inductance and I is current through the inductor. Units: if L is in henrys and I is in amps, then W is in joules. 2. Inductors act as short circuits under DC steady-state conditions. There is no voltage drop across the inductor under DC steady-state conditions. 3. Capacitors store energy in the form of electric field. The energy W stored in the capacitor equals W = 1 2 ⋅ C ⋅ V 2 where C is the capacitance and V is the voltage across the capacitor. Units: if C is in farads and V is in volts, then W is in joules. 4. Capacitors act as open circuits under DC steady-state conditions. They do not conduct DC current, and the voltage across the capacitor is determined by the voltage across the circuit elements (sources, resistors, etc.), with which this capacitor is in parallel. 5. In order to calculate the energy stored in the inductors and capacitors under DC steady-state conditions, use the following strategy: a. Redraw the circuit replacing each capacitor with an open switch and each inductor with the closed switch. b. In this redrawn circuit, determine the current through each inductor (each closed “switch”) and the voltage across each capacitor (each open “switch”). 6. Then apply the formulas for energy listed above. Be careful with the units of measure! © 2008 Alexander Ganago Page 1 of 3 EECS 314 Winter 2008 Homework set 5 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above eplacing ith The Assignment Consider the circuit shown on the diagram. Use the following component values: V S = 6 V C 1 = C 2 = 3 mF L 1 = L 2 = 5 mH R 1 = R 3 = 4 Ω R 2 = R 5 = 8 Ω R 4 = R 6 = 2 Ω Part 1 (10 points) Redraw the circuit for DC steady-state conditions r capacitors and inductors w switches. Next to each switch, write “open” (for open circuit, or zero current) or “short” (for short circuit, or zero voltage). Use the provided diagram for convenience. Part 2 (15 points) Calculate the voltage across each capacitor and the current through each inductor....
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This homework help was uploaded on 04/10/2008 for the course EECS 314 taught by Professor Ganago during the Winter '07 term at University of Michigan.

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W08 314 HW05 Solutions - EECS 314 Winter 2008 Homework set...

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