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Assertion (A): When a ceiling fan using a capacitor run motor is switched on, it hums but does not run. When it is driven by some external means it runs in the direction in which it was made to run.
Reason (R): The capacitor connected in series with the auxiliary winding is short circuited.
  • a)
    Both A and R are true and R is a correct explanation of A.
  • b)
    Both A and R are true but R is not a correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Assertion (A): When a ceiling fan using a capacitor run motor is switc...
The capacitor might be open circuited due to which no starting torque is developed and motor fails to start.
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Assertion (A): When a ceiling fan using a capacitor run motor is switc...
Assertion (A): When a ceiling fan using a capacitor run motor is switched on, it hums but does not run. When it is driven by some external means it runs in the direction in which it was made to run.
Reason (R): The capacitor connected in series with the auxiliary winding is short circuited.

To analyze the given assertion and reason, let's first understand the working principle of a ceiling fan using a capacitor run motor.

Working Principle of a Capacitor Run Motor:
- A ceiling fan motor consists of two windings: the main winding and the auxiliary winding.
- The main winding is connected directly to the power supply while the auxiliary winding is connected in series with a capacitor.
- The purpose of the capacitor is to create a phase difference between the two windings, which helps in starting the motor and rotating it in a specific direction.
- When the fan is switched on, both windings are energized and create rotating magnetic fields.
- The interaction of these magnetic fields produces the torque required to rotate the fan blades.

Explanation of Assertion (A):
- When a ceiling fan using a capacitor run motor is switched on and it hums but does not run, it indicates that the motor is not able to start.
- This can happen due to various reasons such as a faulty capacitor, a defective winding, or a problem with the starting mechanism.
- In this case, the motor is unable to generate enough torque to overcome the static friction and start rotating.

Explanation of Reason (R):
- The reason provided states that the capacitor connected in series with the auxiliary winding is short-circuited.
- If the capacitor is short-circuited, it will effectively be bypassed, and the auxiliary winding will not receive the necessary phase shift to start the motor.
- As a result, the motor will not be able to generate enough torque to overcome the static friction and start running.

Evaluation of the Assertion and Reason:
- Both Assertion (A) and Reason (R) are true.
- However, Reason (R) does not provide a correct explanation for Assertion (A).
- While a short-circuited capacitor can prevent the motor from starting, there could be other reasons as well, such as a faulty winding or a problem with the starting mechanism.
- Therefore, Reason (R) does not fully explain why the motor hums but does not run.

In conclusion, the correct answer is option 'C' - Assertion (A) is true, but Reason (R) is false.
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Assertion (A): When a ceiling fan using a capacitor run motor is switched on, it hums but does not run. When it is driven by some external means it runs in the direction in which it was made to run.Reason (R): The capacitor connected in series with the auxiliary winding is short circuited.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer?
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