Motor rotating at normal speed and then prevented from rotating

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SUMMARY

The discussion focuses on the operational characteristics of an electric motor under two conditions: normal rotation and when prevented from rotating. When the motor operates normally, it functions as both a resistor and an electromotive force (emf) source in series. Conversely, when the motor is stalled, it behaves solely as a resistor. The provided formula for current, I = (ε - ε') / (r + r'), illustrates the relationship between the emf and the resistance in both scenarios.

PREREQUISITES
  • Understanding of electric motor principles
  • Familiarity with electromotive force (emf) concepts
  • Basic knowledge of circuit analysis
  • Ability to interpret electrical formulas
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  • Study the characteristics of electric motors in different operational states
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  • Explore the concept of electromotive force (emf) in electrical engineering
  • Investigate the effects of resistance on current flow in electrical circuits
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Electrical engineers, students studying circuit theory, and anyone interested in understanding the operational dynamics of electric motors.

Guillem_dlc
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Homework Statement
A generator of electromotive force ##100\, \textrm{V}## and internal resistance ##1\, \Omega## is connected in series to a motor. A voltmeter is connected between the terminals of the generator. When the motor is rotating at normal speed the voltmeter reads ##95\, \textrm{V}## and when the motor is prevented from rotating it reads ##85\, \textrm{V}##. Calculate:
a) the resistance of the motor (R: ##5,67\, \Omega##).
b) the counter-electromotive force of the motor (R: ##66,7\, \textrm{V}##).
c) the useful power of the motor (R: ##334\, \textrm{W}##).
Relevant Equations
Ohm's law
The current of the circuit would be:

$$I=\dfrac{\varepsilon - \varepsilon'}{r+r'}=\dfrac{100-\varepsilon'}{1+r'}$$

But I do not understand the two methods of operation of the engine that the statement talks about: it rotates in normal regime and the engine is prevented from turning. What conclusions could I draw from this?
 
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When the motor is prevented from rotating, it acts as a simple resistor.

When the motor is rotating, it acts as a simple resistor and an emf-source in series.

You might find it useful to draw the two circuits.
 
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Steve4Physics said:
When the motor is prevented from rotating, it acts as a simple resistor.

When the motor is rotating, it acts as a simple resistor and an emf-source in series.

You might find it useful to draw the two circuits.
Thank you very much! With this hint I was able to do the exercise and I got what it says.
 
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