1. Kirchhoff 1845 Gustav Kirchhoff -1) Kirchhoff 2) Kirchhoff Gustav Kirchhoff :http://en.wikipedia.org/wiki/File:Gustav_Robert_Kirchhoff.jpg 2. Kirchhoff Kirchhoff (KCL) : (What goes in must come out) i1+ i4 - i2 - i3 = 0=> i1+ i4 = i2 + i3 :http://en.wikipedia.org/wiki/Kirchhoffs_circuit_laws 3. IT - i1 - i2 = 0=> IT = I1 + I2I1 I2 4. Kirchhoff Kirchhoff (KVL) : , ( )v1 + v2 + v3 - v4 = 0 :http://en.wikipedia.org/wiki/File:Gustav_Robert_Kirchhoff.jpg 5. 0 V4 = 10V I 0 R1 = 2 0 R2 = 1 0 R3 = 2 Rtotal = 2+1+2 = 5 V4 = I * Rtotal => 10V = I * 5 So, I = 2 A :http://en.wikipedia.org/wiki/File:Gustav_Robert_Kirchhoff.jpg 6. 0I=2A ISo,V1 = I * R1 = 2 * 2 = 4VV2 = I * R2 = 2 * 1 = 2VV3 = I * R3 = 2 * 2 = 4VV1 +V2 + V3 = 4 + 2 + 4= 10 V= V4