Calculating Inductance of a Solenoid with Multiple Isolated Loops

Click For Summary
SUMMARY

The inductance of a solenoid composed of N isolated loops, each connected to its own battery, can be calculated by determining the inductance of each individual loop and summing these values. The formula for the inductance of a single loop can be applied to each loop, and since they are isolated, their contributions to the total inductance are additive. This approach allows for accurate modeling of the solenoid's behavior under these specific conditions.

PREREQUISITES
  • Understanding of inductance and its calculation
  • Familiarity with solenoid geometry and properties
  • Knowledge of electrical circuits and battery connections
  • Basic grasp of electromagnetic theory
NEXT STEPS
  • Research the formula for calculating the inductance of a single loop of wire
  • Explore the principles of superposition in electromagnetic fields
  • Investigate the effects of loop isolation on inductance in practical applications
  • Learn about circuit analysis techniques for multiple power supplies
USEFUL FOR

Electrical engineers, physics students, and anyone involved in designing or analyzing inductive components in electrical circuits.

rocket4382
Messages
1
Reaction score
0
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)
 

Attachments

  • Snapshot.jpg
    Snapshot.jpg
    11.4 KB · Views: 490
Physics news on Phys.org
You could calculate the induction due to each loop and add them up to find the total induction.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 17 ·
Replies
17
Views
14K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K