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Fall04_hw4

# Fall04_hw4 - Problem 5 Using Phasor to solve AC...

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Homework 4: due Tuesday (Sept. 28) ENEE204 (Gomez) Problem 1. Practice with Phasor : When a voltage of V t t v o ) 30 100 cos( 20 ) ( + = is applied across an RL branch, the resulting current through the branch is A t t i o ) 45 100 cos( 5 ) ( - = . What are the values of the resistor and inductor. Problem 2. Practicing KCL, KVL in Phasor Forms. Consider the circuit in P3-23 on page 94 of text, assume that the values of the elements and sources are known. Label nodes and meshes and write the ac-steady state KCL, KVL equations and impedances of each passive element. Write down the matrix equations to solve for the phasor current variables. Problem 3. Using Phasor to solve AC Circuits . Consider the circuit in Figure P3-25 on page 94 of text. Find the voltages and currents on the resistor, inductor and capacitor in both Phasor and time-domain forms. Problem 4. Using Phasor to solve AC Circuits . Consider the circuit in Figure P3-28 on page 95 of text. Find the voltage across the inductor in phasor and time-domain forms.

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Unformatted text preview: Problem 5. Using Phasor to solve AC Circuits .For the circuit given below, i s1 (t) = 2cos(ωt) A, and Vs 2 (t) = 300sin(ωt) V, where frequency = 1kHz. a. Convert this problem to a phasor problem. Label all the currents and voltages and specify reference directions. Write down the KCL and KVL equations. (work with the phasors). b. Solve the equations and find the phasors corresponding to the voltages across R 1 and C 1 . c. Convert the phasor voltages in part b. to time dependent voltages, i.e. find v(t) across R 1 and C 1 . Problem 6. Learning how to simplify AC circuits. Also, understanding average power. .For the circuit given below, Vs(t) = 100sin(300πt - 3π/4) V. a. Use phasors to solve for the voltage across R, recognize elements in parallel and simplify them. Convert the phasor to time dependent voltage. b. What is the average power dissipated in the inductor, resistor and capacitor....
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Fall04_hw4 - Problem 5 Using Phasor to solve AC...

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