Inductor I-V Equation in Action

What is the difference between inductance and inductive reactance?

Inductance is the property of a conductor to oppose the incoming current for a short duration. When current flows through an inductor, a magnetic field is formed whose direction can be determined by right hand thumb rule. This steadily rising magnetic field generates a voltage which oppose the incoming current. Hence this is also called as Back EMF. Inductive reactance is this opposing voltage measured in ohms since it restricts the flow of current through the inductor. It is directly proportional to frequency of applied signal.

What is mutual inductance?

When alternating current flows through an inductor it generates a time varying magnetic field around itself. When another inductor is placed near the first inductor, the magnetic field lines cuts it and generates a voltage across the second inductor. This property is called as mutual inductance and it is used in transformers to either step-up or step-down the voltage.

Why loops of wire are required to create an inductor?

When current flows through a straight wire, it creates magnetic field around the wire. When this current supply is stopped, the magnetic field decreases rapidly. However this decreasing magnetic field does not pass through any wire and does not create a back EMF required for an inductor to work. Hence by creating loops of wires the magnetic flux density increases and when current stops, the rapidly decreasing magnetic field cuts through the spiral wires generating back EMF.



Inductor I-V Equation in Action

The inductor is a passive element that is used in electronic circuits to store energy in the form of magnetic fields. It is usually a thin wire coiled up of several turns around a ferromagnetic material. Inductors are used in transformers, oscillators, filters, etc. The amount of energy that can be stored by the inductor in the form of the magnetic field is called inductance measured in Henry named after the famous scientist Joseph Henry.

Inductor works on the principle of one of Maxwell’s four equations which states that a changing electric field produces a changing magnetic field and vice versa. Unlike a capacitor, an inductor cannot sustain the stored energy as soon as the external power supply is disconnected because the magnetic field decreases steadily as it is responsible for current flow in that circuit in the absence of the power supply.

Table of Content

  • Inductor I-V Equations
  • Relation Between Current and Voltage
  • Inductor Voltage is Proportional To The Rate of Change of Current
  • Inductor and Current Source
  • Inductor and Voltage source
  • Inductor and Switch
  • Solved Examples

Similar Reads

What is Inductor I-V Equations?

The I-V (current-voltage) equations for an inductor describe how the current flowing through an inductor changes in response to changes in voltage applied across it. We have derived both differential and integral forms of I-V equations for an inductor. They are as follows:...

Relation Between Current and Voltage

Below steps can be followed to derive the relation between current flowing through an inductor and voltage across it. Magnetic flux present across the inductor is equal to it’s inductance times current flowing through it....

Inductor Voltage is Proportional To The Rate of Change of Current

From the differential form of I-V equation, we can see that voltage across the inductor is directly proportional to rate of change of current flowing through the inductor (time derivative of current) where inductance L is the proportionality constant. We know that when current flows through a conductor, it generates a magnetic field around the conductor....

Inductor and Current Source

When an inductor having inductance L = 1 mH is connected to a constant current source I = 1 mA. To find the voltage drop across the inductor we can use one of the above derived equations which results in,...

Inductor and Voltage source

Given Below is the circuit of Inductor and Voltage Source...

Inductor and Switch

Given below is Inductor with Voltage Pulse...

Solved Examples

Find peak current flowing through an inductor having an inductance of 100 mH connected with a voltage pulse generator having amplitude of 5 V and pulse width of 0.1 ms....

Conclusion

We can conclude that this article helped viewers to understand the basics of inductor, derived the equations which describes the operating principle of inductor and solved some numerical based on those formulae....

Inductor I-V Equation in Action – FAQs

What is the difference between inductance and inductive reactance?...