ENGG 2400 Lecture Notes - Lecture 6: Capacitor

• School: University of Guelph
• Department: Engineering
• Course: ENGG 2400
• Professor: Julie Vale

Document Summary

Electrical systems and the big picture: electrical models, d and z (impedance, the big picture (first order) A connection point between elements: shares the same across variable, the through variable is conserved at nodes. Assume that all elements are ideal and all conductors are ideal. Example circuit equation with one capacitor and one resistor: for a resistor -> (cid:4666)+ (cid:4667), for a capacitor -> (cid:1829)(cid:4666) + (cid:4667)=(cid:3030) (cid:3041)+(cid:3030)= (cid:3041)+(cid:1829)(cid:4666) (cid:3042)(cid:4667)=(cid:883)(cid:3042) (cid:3041)(cid:4666)(cid:1872)(cid:4667)=(cid:1829) (cid:3042)(cid:4666)(cid:1872)(cid:4667)+(cid:3042)(cid:4666)(cid:1872)(cid:4667) K = r (on the left side of equation) = rc (on the right side of the equation) Transient dies out after about 4 = 4rc. Another way to express the derivative, can easily be separated out of equations. Simplifies to: (cid:3031)(cid:4666)(cid:3047)(cid:4667)(cid:3031)(cid:4666)(cid:3047)(cid:4667)=(cid:1876) (cid:4666)(cid:1872)(cid:4667)=(cid:1830)(cid:1876)(cid:4666)(cid:1872)(cid:4667) (cid:1876) (cid:4666)(cid:1872)(cid:4667)+(cid:883)(cid:884)(cid:1876) = 4(cid:1877) +(cid:882). (cid:883)(cid:1877) (cid:1830)(cid:2870)+(cid:883)(cid:884)(cid:1830) Impedance (cid:894)general resistance(cid:895) (cid:858)z(cid:859: +(cid:4666)(cid:1872)(cid:4667) (cid:4666)(cid:1872)(cid:4667)= (cid:2869)(cid:3004)(cid:3005)(cid:3030)(cid:4666)(cid:1872)(cid:4667, simplify the equation. Hydraulic: for a capacitor, (cid:1829)(cid:4666) +(cid:4666)(cid:1872)(cid:4667) (cid:4666)(cid:1872)(cid:4667)(cid:4667)=(cid:3030)(cid:4666)(cid:1872)(cid:4667, across.