# KCL_KVL_AC - Two Experiments Experiment 1 Here is a circuit...

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Two Experiments Experiment 1: Here is a circuit together with plots showing the element currents as functions of time: We can represent the element currents analytically as () ( ) 1 2cos 53.13 A it t =− ° , ( ) ( ) 2 53.13 A t =+ ° and . () s 2.4cos A t = Apply KCL to get () () () ( ) ( ) s12 2.4cos 53.13 53.13 it it it t t t = −° + We can verify this equation using (a) trigonometry, (b) Euler’s identity or (c) phasors. The following table verifies that the equation is satisfied at several particular instants of time. t , s ( ) 1 , A ( ) 2 , A ( ) s , A ( ) ( ) ( ) 12s it i t it +− 0 1.2 1.2 2.4 0 1 1.995 0.698 1.297 0 2 0.955 1.954 0.999 0 3 0.962 1.414 2.376 0 4 1.995 0.427 1.569 0 5 1.194 1.875 0.681 0 (Notice that the value of each element current is sometimes positive and sometimes negative. Clearly, it is futile to try to choose the reference directions of the currents to make their values be positive.)

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Experiment 2: Here is a circuit together with plots showing the element voltages as functions of time:
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KCL_KVL_AC - Two Experiments Experiment 1 Here is a circuit...

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