# Self Inductance of a Cylindrical Current-Carrying Wire

• raghav singh

#### raghav singh

Consider a solid cylinder of radius R. an varying current of current density δ flows through. what would be self inductance of that cylinder

raghav singh said:
Consider a solid cylinder of radius R. an varying current of current density δ flows through. what would be self inductance of that cylinder

What is the context of the question? Is this for schoolwork?

I think the inductance per unit length is infinite. To get a realistic finite value you need to consider the 'return' conductor carrying the same current in the opposite direction. The easiest case is when this conductor is a cylindrical shell co-axial, but spaced apart from, the solid cylinder.

## 1. What is self inductance?

Self inductance is a property of an electrical circuit that describes how much electromagnetic energy is stored in the circuit due to the presence of a changing current.

## 2. How is self inductance measured?

Self inductance is measured in units of henries (H). This can be done experimentally by applying a known voltage to the circuit and measuring the resulting current, then using the equation L = V/I to calculate the self inductance.

## 3. How does a cylindrical current-carrying wire exhibit self inductance?

A cylindrical current-carrying wire generates a magnetic field around itself due to the flow of current. This magnetic field induces an opposing voltage in the wire, which results in self inductance.

## 4. What factors affect the self inductance of a cylindrical current-carrying wire?

The self inductance of a cylindrical current-carrying wire is affected by the length of the wire, the number of turns in the wire, and the material of the wire. Additionally, the presence of any nearby magnetic materials or changing magnetic fields can also affect the self inductance.

## 5. How does self inductance impact the behavior of an electrical circuit?

Self inductance can cause changes in the behavior of an electrical circuit, such as slowing down the rate of change of current or causing voltage surges. It can also affect the frequency response of the circuit and impact its ability to store and transfer energy.