In an induction motor, the slip will be negative when:


A) stator magnetic field and rotor rotate in opposite directions
B) rotor rotates at a speed less than synchronous speed and in the same direction
C) rotor rotates at a speed more than synchronous speed and in the same direction
D) none of the above


Answer:

➡️ C) rotor rotates at a speed more than synchronous speed and in the same direction


🧠 Detailed Theory + Solution


◆ Step 1: Slip Formula

Where:
→ = synchronous speed
→ = rotor speed


◆ Step 2: Normal Motor Operation

→ Rotor speed


s > 0

➡️ This is motoring region


◆ Step 3: Condition for Negative Slip 🚨

➡️ If rotor is driven by external prime mover

→ Rotor speed becomes greater than synchronous speed


N_r > N_s

So,


s = \frac{N_s - N_r}{N_s} < 0

➡️ Slip becomes negative


◆ Step 4: Physical Meaning

→ Rotor is moving faster than stator field
→ Relative motion reverses

➡️ Machine starts delivering power

👉 Works as induction generator


◆ Step 5: Operating Regions Summary

◆ → Motoring region
◆ → Synchronous speed
◆ → Generating region
◆ → Braking region


Why Other Options Are Incorrect

◆ A) Opposite direction → slip > 1 (not negative)
◆ B) → positive slip
◆ D) Incorrect since option C is correct


🔑 Key Points to Remember

◆ Negative slip occurs when rotor speed exceeds synchronous speed
◆ Requires external mechanical input (prime mover)
◆ Machine acts as induction generator
◆ Power flows from rotor → supply


🎯 Final Conclusion

➡️ Slip becomes negative only when:
✔️ Rotor rotates faster than synchronous speed in same direction

👉 Correct answer: C) ✔️


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