The angular speed of a motor is 262 rad/s.The back emf generated by the motor is 89.4 V.Assuming all other factors remain the same,determine the back emf if the angular speed of the motor is reduced to 131 rad/s.
A)32.3 V
B)44.7 V
C)52.5 V
D)89.4 V
E)152 V

Question

Quizplus · Accepted Answer

The back emf (Eb) of a motor is given by the formula:

Eb = kΦω

where k is a constant, Φ is the magnetic flux, and ω is the angular speed.

Since all other factors remain the same, we can assume that k and Φ are constant. Therefore, we can write:

Eb1/Eb2 = ω1/ω2

where Eb1 and ω1 are the back emf and angular speed at the initial condition, and Eb2 and ω2 are the back emf and angular speed at the final condition.

Substituting the given values, we get:

89.4/Eb2 = 262/131

Solving for Eb2, we get:

Eb2 = 44.7 V

Therefore, the back emf of the motor when the angular speed is reduced to 131 rad/s is 44.7 V.

The Angular Speed of a Motor Is 262 Rad/s