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# 10.4.1 Terminal Voltage

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### 10.4.1 Terminal Voltage

1. 1. Terminal Voltage
2. 2. !
3. 3. Terminal Voltage V = E - IaRa
4. 4. Generated emf E = V - IaRa
5. 5. I = If + IL from Kirchhoff ’s current law
6. 6. E = Generated emf V = Terminal voltage Ra = Armature resistance Ia = Armature current IL = Load current If = Field Current (I = V) Rf
7. 7. ! Load current (IL) = 20 kW = 20,000 = 100 A 200 V 200
8. 8. ! Volt drop in the cable to the load = IL x RC = 100 (100 x10ˉ³) = 10 V Hence terminal voltage = 200 + 10 = 210 V
9. 9. ! Field current (If) = V = 210 = 4.2 A Rf 50
10. 10. ! Armature current (Ia) = If + IL = 4.2 = 100 = 104.2 A
11. 11. ! Generated emf (E) = V + IaRa 210 + (104.2 x 40 x10ˉ³) 210 + 4.168 = 214.17 Volts.