Loading....
Coupon Accepted Successfully!

 

Solved Problems-8

Problems-8
Find the vector potential for an infinitely long solenoid with ‘T’ turns per unit length, radius ‘a’ and current ‘I’.
Solution
We know that the total magnetic flux is given as,
Description: Description: 106430.png
and
Description: Description: 106421.png
 
∴ Description: Description: 106410.png
∴ Description: Description: 106401.png
  1. Inside the solenoid (r < a):
Description: Description: 106393.png
(Since from Section 3.13.3, for infinite solenoid, the magnetic field is Description: Description: 106383.png)
 
Description: Description: 106376.png Description: Description: 106369.png
  1. Outside the Solenoid (r ≥ a):
Description: Description: 106362.png
∴  Description: Description: 106355.png Description: Description: 106347.png
 
To summarise, the results are,
 
Description: Description: 106340.png




Test Your Skills Now!
Take a Quiz now
Reviewer Name