KCL_KVL_AC - Two Experiments Experiment 1: Here is a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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.)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Experiment 2: Here is a circuit together with plots showing the element voltages as functions of time:
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

KCL_KVL_AC - Two Experiments Experiment 1: Here is a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online