dc circuits 2

dc circuits 2 - Gustav Robert Kirchhoff (1824-1887) DC...

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1 1 DC Circuits - II Gustav Robert Kirchhoff (1824-1887) Last Time Resistors in series add Kirchhoff’s Laws: Loop law: conservation of energy Junction law: conservation of charge Resistors in parallel Examples Voltmeters and ammeters Today This lecture: HRW 27.7-27.8 For next time: HRW 27.9 2 Resistors in Parallel Resistors in parallel have the same potential across them. Use Kirchhoff’s Laws to find the equivalent resistance . Kirchhoff’s current law at node a, A. i 1 =i 2 +i 3 For the outer loop (clockwise), C. E -i R =0. For the left loop (clockwise), B. E Kirchhoff’s voltage law can be applied twice: We now have 3 equations, 3 unknowns: ,i Note: we could have chosen the right loop instead of B or C . What about node b? 1 R 2 R E eq R a a b b =-i , the same eq. 3 Resistors in Parallel (cont.) 1 =; R E 2 = R E From B and C , 12 =+. RR EE Plug these into A , 11 =+ E Rearranging, eq 1 2 1 R and since eq 1 = R E Ä For n parallel resistors, n i eq i = Resistors in parallel add like capacitors in series.
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dc circuits 2 - Gustav Robert Kirchhoff (1824-1887) DC...

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