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Understanding Kirchhoff's Circuit Laws: Simplifying Electric Circuits

Learn the principles of Kirchhoff's rules for analyzing electric circuits, including the Junction Rule and Loop Rule. Understand how to apply these laws to solve complex circuit problems effectively.

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Understanding Kirchhoff's Circuit Laws: Simplifying Electric Circuits

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  1. 6 V So far, we have considered circuits which can be reduced to a single loop circuit and applied Ohm’s law to extract I and/or V in the circuit. 5 3

  2. Georg Simon Ohm Gustav Robert Kirchoff LAW & ORDER

  3. Statement of Kirchhoff’s Rules • Junction Rule • The sum of the currents entering any junction must equal the sum of the currents leaving that junction • A statement of Conservation of Charge • Loop Rule • The sum of the potential differences across all the elements around any closed circuit loop must be zero • A statement of Conservation of Energy

  4. I2 I1 I3 = + Kirchoff’s Rules (1) Node rule, current law,.. I1 = I2 + I3

  5. (2) Loop rule, V-law,.. D B C R1 V R2 E A F V A B C D E F A

  6. IR1 IR2 R1 R2 IR3 R3 V I V V– IR1 – IR2 – IR3 = 0 V = I (R1 + R2 + R3) = I Req

  7. I1 I I2 I3 R1 R2 R3 4 unknowns Need 4 independent eqs. V (1) I = I1 + I2 + I3 V/R1 = I1 (2) V – I1R1 = 0 (3) V – I2R2 = 0 V/R2 = I2 V (1/R1+1/R2+1/R3) = I (4) V – I3R3 = 0 V/R3 = I3 1/Req V = IReq

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