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Download Electronics- Kirchhoff`s Laws - Wilfrid Laurier University Physics Labs
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Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Electronics Kirchhoff’s Laws Terry Sturtevant Wilfrid Laurier University May 16, 2011 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law There are two Kirchhoff’s laws: Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law There are two Kirchhoff’s laws: Kirchhoff’s Current Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law There are two Kirchhoff’s laws: Kirchhoff’s Current Law Kirchhoff’s Voltage Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Current Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Current Law I3 I2 I4 I1 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Current Law I3 I2 - I4 6 I1 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Current Law I3 * I2 - I4 6 q P I1 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Current Law I3 * I2 - I4 6 q P I1 Sum of the currents at a node is zero Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Current Law I3 * I2 - I4 6 q P I1 Sum of the currents at a node is zero → Sum of the currents into a node equals the sum of the currents out of the node. Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Voltage Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Voltage Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Voltage Law 6 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Voltage Law 6 ? ? Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Voltage Law 6 ? ? Sum of the voltage drops around a loop is zero Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Kirchhoff’s Current Law Kirchhoff’s Voltage Law Kirchhoff’s Voltage Law 6 ? ? Sum of the voltage drops around a loop is zero → Sum of the voltage increases in a loop equals the sum of the voltage drops in the loop Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Applications of Kirchhoff’s Current Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Applications of Kirchhoff’s Current Law Series Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Series Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Series Circuits I1 I2 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Series Circuits I1 I2 6 A “virtual” node can be created between the two resistors Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Series Circuits I1 I2 - 6 Since there is nowhere else for current to go, I1 ≡ I2 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Applications of Kirchhoff’s Current Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Applications of Kirchhoff’s Current Law Parallel Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Parallel Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Parallel Circuits Iin I2 I1 Iout Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Parallel Circuits Iin ? ? ? I2 I1 Iout Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Parallel Circuits Iin I2 I1 ? ? ? Iout Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Parallel Circuits Iin ? ? ? I2 I1 ? ? ? Iout The current exiting at the bottom has to equal the current entering at the top Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Parallel Circuits Iin ? ? ? I2 I1 ? ? ? Iout Iin = I1 + I2 = Iout Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Applications of Kirchhoff’s Voltage Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Applications of Kirchhoff’s Voltage Law Series Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Series Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Series Circuits V1 V2 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Series Circuits V1 V2 V & % A “virtual” loop can be created by connecting both ends of the circuit. Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Series Circuits V1 V2 V & % The voltages around the loop must add to zero, so V = V1 + V2 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Applications of Kirchhoff’s Voltage Law Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Applications of Kirchhoff’s Voltage Law Parallel Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits V1 V2 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits V1 ? V2 A loop consists of just the two components as shown. Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Parallel Circuits V1 ? V2 Since the sum of voltages around the loop is zero, V1 = V2 Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Summary Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Summary In series elements in a circuit, currents are equal. Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Summary In series elements in a circuit, currents are equal. (The individual voltages add to produce the total.) Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Summary In series elements in a circuit, currents are equal. (The individual voltages add to produce the total.) In parallel elements in a circuit, voltages are equal. Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Summary In series elements in a circuit, currents are equal. (The individual voltages add to produce the total.) In parallel elements in a circuit, voltages are equal. (The individual currents add to produce the total.) Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Consider the following circuit: Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Consider the following circuit: Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Consider the following circuit: Q: Are the elements in series or parallel? Terry Sturtevant Electronics Kirchhoff’s Laws Summary of Kirchhoff’s Laws Applications of Kirchhoff’s Current Law Applications of Kirchhoff’s Voltage Law Series Circuits Consider the following circuit: Q: Are the elements in series or parallel? A: Both! So both voltage and current are the same. Terry Sturtevant Electronics Kirchhoff’s Laws
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