Loading....
Coupon Accepted Successfully!

 

Solved Problems-18

Problem-18
An infinite straight wire carrying a current I is placed to the left of a rectangular loop of wire with width and length l, as shown in . Determine the mutual inductance of the system.
Rectangular loop placed near long straight current-carrying wire
 
Solution
To calculate the mutual inductance M, we first need to know the magnetic flux through the rectangular loop. Using Ampere’s law, the magnetic field at a distance r away from the straight wire is given as,
Description: Description: 108557.png
 
The total magnetic flux φ through the loop can be obtained by summing over contributions from all differential area elements Description: Description: 108550.png as follows.
 
Description: Description: 108543.png
 
 
Hence, the mutual inductance is given as, Description: Description: 108536.png
 
 
Description: Description: 108528.png
 





Test Your Skills Now!
Take a Quiz now
Reviewer Name