Terminal Voltage
!
Terminal Voltage
   V = E - IaRa
Generated emf
  E = V - IaRa
I = If + IL
from Kirchhoff ’s current law
E = Generated emf
V = Terminal voltage
Ra = Armature resistance
Ia = Armature current
IL = Load current
If = Field Current...
!




Load current (IL) = 
 20 kW = 
 20,000 
 = 100 A

 
 
 
               200 V

    200
!

Volt drop in the cable to the load
                              = IL x RC
 = 100 (100 x10ˉ³) = 10 V


Hence terminal v...
!



 Field current (If) = 
 V =
 210   =
 4.2 A

 
 
 
                 Rf
 50
!




Armature current (Ia) = If + IL = 4.2 = 100 = 104.2 A
!

Generated emf 
(E) = V + IaRa
         

 
 
 210 + (104.2 x 40 x10ˉ³)
         

 
 
 210 + 4.168 = 214.17 Volts.
10.4.1 Terminal Voltage
10.4.1 Terminal Voltage
10.4.1 Terminal Voltage
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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.

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