problem set #4

problem set #4 - ECSE-210 Winter 2011 Electric Circuits 1...

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ECSE-210 Winter 2011 Electric Circuits 1 4-1 Practice Set #4 P11.4-6 2 3 2 2 2 eff 0 0 2 1 1 = ( ) (10) (5) 8.66 3 t I i t dt dt dt T ! " = + = # $ % ' ' ' P11.4-7 Use superposition: 1 5 0 V = ! ° V 2 2.5 V (dc) = V 3 3 90 V = !" ° V V 1 and V 3 are phasors having the same frequency, so we can add them: ( ) ( ) 1 3 5 0 3 90 5 3 5.83 31.0 V j + = ! ° + !" ° = " = !" ° V V Then ( ) R 1 2 3 ( ) ( ) ( ) ( ) 2.5 5.83cos(100 31.0 ) V v t v t v t v t t = + + = + ! ° Finally eff eff 2 2 2 R R 5.83 (2.5) 23.24 V 4.82 V 2 V V ! " = + = # = $ % ' P11.5-1 ( ) * 2 3.6 7.2 2 0.6 1.2 1.342 63.43 A 12 0 12 0 j j + = = = + = ! ° ! ° ! ° S I 12 0 4 8.94 63.43 4 8 4 and 2 H 1.342 63.43 R j L j R L ! ° + = = ! = + " = # = !$
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ECSE-210 Winter 2011 Electric Circuits 1 4-2 P11.5-4 Represent the circuit in the frequency domain and label the node voltages: The node equations are: ( ) 1 1 2 1 2 5 0 0 1 10 2 2 j j j ! " = + = # ! + = V V V V V ( ) ( ) 2 1 2 1 2 1 2 1 8 0 0.25 2 0 2 2 1 j j j ! " # $ % # ' = + = ( + + = # V V V V V V V Using MATLAB: 1 1 2 2 5.33 36.9 V 1 10 2.75 67.2 V 0.25 2 0 j j j = ! ° " # $ # $ # $ = % ' ' ' = ! " ° + ( ) ( ) ( ) V
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problem set #4 - ECSE-210 Winter 2011 Electric Circuits 1...

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