The back emf in a motor is 120 V when the motor is turning at 1680 rev/min. What is the back emf when the motor turns at 3360 rev/min? (Ans: 240 V).
Data Given:
1st Back emf in motor at angular speed "ധ1" = Ɛ1 = 120 V
1st Angular speed = ധ1 = 1680 rev per min
= 1680x2πrad60s = 1680x2x3.1416rad60s = 175.93 rad s⁻¹
2nd Angular speed = ധ2 = 3360 rev per min
= 3360 x2πrad60s = 3360 x2x3.1416rad60s = 351.86 rad s⁻¹
To Find:
Solution:
As the angular speed and back emf are proportional and their ratio will be equal, thus
Ɛ1Ɛ2 = ധ1ധ2
or
Ɛ2 = Ɛ1ധ2ധ1
Putting the corresponding values
Ɛ2 = 120Vx351.86rads⁻¹175.93rads⁻¹
Ɛ2 = 42223.2V175.93
Ɛ2 = 240 V ----------------Ans.
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© 2022-Onwards by Academic Skills and Knowledge (ASK)
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