A 250 V dc generator is run at rated speed with no excitation. The open-circuit voltage will be

(a) zero.
(b) very small, say about 2 or 3 V.
(c) about 100 V.
(d) 250 V.

Answer: (b) very small, say about 2 or 3 V.

Explanation:

CONCEPT: Residual Magnetism in DC Generators

In a DC generator, even when no field current is supplied, a small amount of magnetism remains in the field poles.

This magnetism is called:

👉 Residual Magnetism (Residual Flux)

It is present due to previous operation of the machine.


Why Residual Magnetism Is Important

Residual magnetism is necessary for:

✔ Initial voltage generation
✔ Self-excitation process
✔ Building up of terminal voltage

Without residual magnetism, the generator cannot generate voltage.


GIVEN CONDITION

A DC generator:

  • Rated voltage = 250 V
  • Running at rated speed
  • No external field excitation (If = 0)

EXPLANATION: Initial Voltage Generation

When the armature rotates:

  1. Due to residual flux (Φr), conductors cut magnetic field.
  2. According to Faraday’s Law, EMF is induced.
  3. This induced voltage is very small.

Typical value:

👉 About 2 to 3 V

This is called:

✔ Residual voltage


STEPWISE PROCESS: Voltage Build-Up (Self-Excitation)

Step 1: Residual Voltage Generation

  • Armature rotates
  • Cuts residual flux
  • Produces small voltage (2–3 V)

Step 2: Field Current Starts Flowing

  • This small voltage is applied to field winding
  • Field current flows:




Step 3: Increase in Field Flux

  • Field current produces more magnetic flux
  • New flux adds to residual flux




Step 4: Increase in Induced EMF

  • Increased flux → More EMF induced
  • Voltage rises

Step 5: Cumulative Process

This process repeats:

✔ More voltage → More field current
✔ More field current → More flux
✔ More flux → More voltage

This is called:

👉 Cumulative Build-Up


Step 6: Rated Voltage Reached

Finally, voltage reaches rated value:

👉 250 V

When:

  • Field circuit resistance balances
  • Magnetic saturation occurs

Then voltage becomes stable.


CONDITIONS FOR VOLTAGE BUILD-UP

For successful self-excitation, three conditions must be satisfied:

1. Presence of Residual Magnetism

✔ Some magnetism must exist in poles


2. Correct Field Connection

✔ Field winding must aid residual flux
✔ (Not oppose it)


3. Field Resistance Must Be Below Critical Value

✔ Field resistance < Critical resistance

Otherwise voltage will not build up.


If Residual Magnetism Is Lost

If residual magnetism is lost:

❌ No initial voltage
❌ No field current
❌ No voltage build-up
❌ Generator fails

Solution:

👉 Field flashing (external DC supply)


IMPORTANT FORMULA

Generated EMF:



So:

EMF ∝ Flux × Speed

At constant speed:



So increasing flux increases voltage.


APPLICATION IN EXAMS

One-Line Answer

When a DC generator runs without excitation, a small voltage (2–3 V) is generated due to residual magnetism, which initiates the self-excitation process and builds up the terminal voltage.


FINAL CONCLUSION

When a 250 V DC generator is run at rated speed without external excitation, the residual magnetism in the field poles produces a small induced voltage of about 2 to 3 V. This voltage causes a small field current to flow, increasing the magnetic flux and induced EMF. The process repeats cumulatively until the rated terminal voltage is reached. This phenomenon is called self-excitation of a DC generator.

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