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Kirchhoff’s Current and Voltage Laws

Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

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Page 1: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Kirchhoff’s Current and Voltage Laws

Page 2: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

KCL (Kirchhoff’s Current Law)

The sum of the currents entering a node equals the sum of the currents exiting

a node.

Page 3: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Node

Page 4: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Application of KCL

I1 = 2A

I2 = 3A

I3 = 5A

Page 5: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

I1 = ?

I2 = 150 mA

I3 = 250 mA

Problem w/KCL

Page 6: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

KVL (Kirchhoff’s Voltage Law)

The sum of the potential differences around a

closed loop equals zero.

Page 7: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Closed Loop #1

Page 8: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Closed Loop #2

Page 9: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Closed Loop #3

Page 10: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Closed Loop #4

Page 11: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Not Closed #1

Page 12: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

Not Closed #2

Page 13: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

What KVL Really Means

Sum of the Voltage drops across resistors equals the Supply Voltage in a Loop.

Page 14: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

KVL #1

Page 15: Kirchhoff’s Current and Voltage Laws. KCL (Kirchhoff’s Current Law) The sum of the currents entering a node equals the sum of the currents exiting a node

KVL #2