Download EE233 Homework 3: Circuit Analysis and Power Calculations and more Exercises Electrical Engineering in PDF only on Docsity!
EE
Homework 3 Due: 0900 Tuesday 7 October, 2014 Problem 1 In the circuit below, if ig ( t )= 15 cos ( 1000 t ) (a) Draw the equivalent circuit in frequency domain (b) Use the node-voltage method to find the steady-state expression for vo ( t ).
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Problem 2 The op amp in the circuit shown in Fig. 2 is ideal. Calculate the average power delivered to the 1kΩ resistor when vg =^4 cos^5000 t^ V. Figure 2 Problem 3 The load impedance ZL for the circuit shown in the Fig. 3 below is adjusted until maximum average power is delivered to ZL. a) Find the maximum average power delivered to ZL. b) What percentage of the total power developed in the circuit is delivered to ZL? ig ( t ) 8 Ω (^) vo ( t ) I (^) ∆ (^) 5 mH 2.5 I∆ 100 μFF
Figure 3 Problem 4 The variable resistor in the circuit shown in Fig. 4 is adjusted until the average power it absorbs is maximum. a. Find R b. Find the maximum average power Figure 4 Problem 5
The amplitude of the sinusoidal voltage is 150 √ 2 V and its frequency is 10000 rad/s. The load resistor
can be varied from 1 to 20 Ω, and the load inductor can be varied from 1.0 to 8.0 mH. (a) Solve the Thevenin equivalent of the circuit (b) Calculate the average power delivered to the load when Ro =^10 Ω and Lo =^6 mH (c) Determine the settings of Ro and Lo that will result in the most average power transfer. (d) If there is no constraints on Ro and Lo , determine the settings of Ro and Lo that will result in the maximum average power transfer. (e) What is the maximum average power that can be delivered to the load in (d)?
