Investigating Voltage-Inductance Relationship

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In summary, the inductance is constant unless the current exceeds the saturation current of the inductor. In the case of a piece of copper wire with changing radius, the inductance will also vary. When the applied current exceeds the saturation current of the inductor, the inductance will drop. Refer to the Wikipedia page for a more detailed explanation of saturation.
  • #1
rahul.6sept
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Dear all,

I would like to know how exactly the inductance varies with change in applied voltage with respect to time and if there is any mathematical relation for the same available.

Regards,
rc
 
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  • #2
V = L[itex]\frac{di}{dt}[/itex]

Where V is voltage, L is inductance, i is current and t is time. There has to be a change in current else there will be no induced Voltage. So the greater the change in current, the greater the induced Voltage. Simple as that.
 
  • #3
rahul.6sept said:
Dear all,

I would like to know how exactly the inductance varies with change in applied voltage with respect to time and if there is any mathematical relation for the same available.

Regards,
rc

The inductance is constant, unless the current through the inductor exceeds the saturation current of the inductor.
 
  • #4
yes it was a typo, should have been applied current and not applied voltage.

1) But what will be effect in inductance in case of a piece of copper wire (considering hypothetically) whose radius changes when current flows through it ?

2) Also would like to know regarding the reply of berkeman ... what actually happens when applied current exceeds the saturation current of the inductor.Regards,
rc
 
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  • #5
rahul.6sept said:
2) Also would like to know regarding the reply of berkeman ... what actually happens when applied current exceeds the saturation current of the inductor.

The wikipedia page gives a pretty good explanation of saturation. Basically the inductance drops for currents that approach ane exceed Isat...

http://en.wikipedia.org/wiki/Saturation_(magnetic )

.
 
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1. What is the voltage-inductance relationship?

The voltage-inductance relationship refers to the relationship between the voltage applied to a circuit and the resulting inductance in that circuit. Inductance is a property of a circuit that resists changes in current, and it is affected by the voltage applied to the circuit.

2. How is voltage related to inductance?

Voltage and inductance are directly related. This means that as the voltage applied to a circuit increases, the inductance in that circuit also increases. Similarly, as the voltage decreases, the inductance decreases as well.

3. What is the equation for the voltage-inductance relationship?

The voltage-inductance relationship can be described using the equation V = L di/dt, where V is the voltage, L is the inductance, and di/dt is the rate of change of current over time. This equation is known as Faraday's law of induction.

4. How can the voltage-inductance relationship be investigated?

The voltage-inductance relationship can be investigated by conducting experiments in a controlled circuit. By varying the voltage and measuring the resulting inductance, the relationship between the two can be observed and analyzed. This can also be done using mathematical models and simulations.

5. Why is it important to understand the voltage-inductance relationship?

Understanding the voltage-inductance relationship is important because it is a fundamental concept in electrical engineering and is used in the design and analysis of many electronic devices and systems. It also plays a crucial role in the functioning of motors, generators, and transformers, which are essential components in various industries.

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