Calculating Inductance of a Solenoid with Multiple Isolated Loops

However, this formula may not be accurate for more complex geometries. In summary, the conversation discusses the calculation of inductance for a coil of wire and how it may differ for a solenoid composed of N separate loops with individual power supplies. It is suggested to calculate the induction for each loop and add them up, but this method may not be precise for more intricate geometries.
  • #1
rocket4382
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I found this formula to approximate the inductance of a coil of wire. But what if a solenoid were composed of N separate loops, where each loop of the solenoid is connected to its own battery? That is, what if the solenoid had the same number of loops and the same geometry, except that each loop is isolated from the others and has its own separate power supply. How would you calculate the inductance of such a solenoid? (See attached Snapshot.jpg)
 

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  • #2
You could calculate the induction due to each loop and add them up to find the total induction.
 

Related to Calculating Inductance of a Solenoid with Multiple Isolated Loops

1. What is inductance of wire loops?

Inductance of wire loops is a measure of the ability of a wire loop to generate an electromagnetic field when an electric current flows through it. It is a property of the wire loop itself and is determined by its physical characteristics, such as the number of turns, the shape and size of the loop, and the material it is made of.

2. How is inductance of wire loops calculated?

The inductance of wire loops can be calculated using the formula L = μN²A/l, where L is the inductance in henries, μ is the permeability of the material, N is the number of turns in the loop, A is the cross-sectional area of the loop, and l is the length of the loop.

3. What factors affect the inductance of wire loops?

The inductance of wire loops is affected by the number of turns in the loop, the shape and size of the loop, the material it is made of, and the presence of any nearby magnetic fields. It also increases with the frequency of the electric current flowing through the loop.

4. How does inductance of wire loops affect electronic circuits?

Inductance of wire loops plays an important role in electronic circuits, particularly in AC circuits. It can cause a delay in the current flow, also known as inductive reactance, which can affect the overall performance of the circuit. It is also used to store energy in devices such as inductors and transformers.

5. How can the inductance of wire loops be changed?

The inductance of wire loops can be changed by altering the physical characteristics of the loop, such as the number of turns, the shape and size, or the material it is made of. It can also be changed by varying the frequency of the electric current flowing through the loop, as inductance increases with frequency.

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