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Is back eMF positive or negative?

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Best answer
Could you clarify what you mean by "back eMF"? Are you referring to back electromotive force (back EMF) in electrical circuits?
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Back EMF, or back electromotive force, is a phenomenon associated with electric motors and inductors. To understand whether it's positive or negative, it's helpful to break down the concept.

### What is Back EMF?

Back EMF is the voltage generated by an inductor or a motor as a result of its changing magnetic field. When the current through an inductor or motor coil changes, the changing magnetic field induces a voltage opposing the change in current, according to Faraday's Law of Electromagnetic Induction. This opposing voltage is what we call back EMF.

### Direction and Sign

Whether back EMF is considered positive or negative depends on the reference point and the context of its measurement:

1. **In Motors:**
   - **Direction of Back EMF:** In the context of a DC motor, when the motor spins, the back EMF is generated in the direction opposite to the applied voltage. This is because the motor is essentially an inductor with a rotating magnetic field.
   - **Polarity:** If you apply a voltage to a motor to make it turn, the motor's back EMF will be in opposition to this applied voltage. Therefore, if you consider the applied voltage as positive, the back EMF will be negative relative to that applied voltage.

2. **In Inductors:**
   - **Inductive Reactance:** When an inductor is exposed to a changing current, it generates a voltage that opposes the change. This voltage is often termed as "negative" with respect to the direction of the current change.
   - **Voltage Drop:** If you measure the voltage across an inductor when it is in operation, you will see a voltage drop that opposes the applied voltage. This means, in this context, the back EMF is often considered negative relative to the applied voltage.

### Summary

- **Back EMF is generally considered "negative" relative to the applied voltage** because it opposes the change in current or voltage applied to the motor or inductor.
- **The term "negative" is relative to the direction of the applied voltage** or current. In practical terms, it represents the opposing nature of the induced voltage compared to the applied voltage.

In essence, whether back EMF is labeled as positive or negative is a matter of reference and context. However, it always acts to oppose the change in current, as per Lenz's Law, and this opposition is why it is typically described as having a "negative" effect in the context of the applied voltage.
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