At a certain speed and flux, the voltage generated by a dc generator is 230 volts. If the speed is increased by 20% and the flux is simultaneously reduced by 10%, the voltage will be

(a) increased by 10%.
(b) reduced by 20%.
(c) increased by 8%.
(d) decreased by 8%.

Answer: (c) increased by 8%.

Explanation:

CONCEPT: EMF Equation of DC Generator

The generated EMF of a DC generator is given by:



Where:

  •  = Generated voltage
  •  = Flux per pole
  •  = Speed
  •  = Constant

So,



This means:

👉 Voltage is directly proportional to flux and speed.


STEP 1: Initial Conditions

Let:

Initial voltage =  V
Initial flux = 
Initial speed = 

So,




STEP 2: New Conditions

New Speed

Speed increased by 20%:




New Flux

Flux reduced by 10%:




STEP 3: New Voltage Calculation

Using EMF equation:



Substitute values:






STEP 4: Substitute Initial Voltage





STEP 5: Percentage Change






FINAL ANSWER

✔ Voltage increases by 8%


Correct Option

✅ (c) Increased by 8%


KEY EXAM POINT

For DC generator:



So,



Use this formula directly in numericals.


ONE-LINE CONCLUSION

When speed increases by 20% and flux decreases by 10%, the net effect is an 8% increase in generated voltage.

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