The Mystery of the Unchanging Magnetic Force on a Circular Loop

AI Thread Summary
The discussion centers on a magnetostatic problem involving an infinite current-carrying line and a circular loop with radius "b" and current I2. The original poster finds their solution trivial, as it does not depend on the distance "d" or radius "b," which seems illogical. They seek help to identify the mistake in their solution, referencing a specific problem from Smythe's "Static and Dynamic Electricity." The conversation highlights the importance of understanding the underlying principles of magnetostatics to avoid errors in problem-solving. The poster expresses a desire to learn from their mistakes rather than simply seeking answers.
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Hi all

I tried to solve one of the magnetostatic problems and I end up with a trivial solution. The problem as shown in the figure, we have an infinite current carrying line and a circle with a radius "b" and current I2. The problem asks for the force being exerted by the line on the circular loop. My answer as it’s shown doesn't depend on "d" neither "b" which makes no sense.
http://www.pc4up.com/2009/5-2009/Jkc70408.jpg

Can you debug my solution?
 
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This is problem 10 on page 321 of Smythe "Static and Dynamic Electricity" (3rd Edition). Smythe has the answer. Yours is not correct.
 
Yes my solution was not correct I knew, I am asking what is the mistake in my solution so that I can get benefit of my mistakes. Is there any wrong with that!
 
Sorry I just read the massage from the forum, I didn't thought that this is considered to be a homework question.

Sorry all...
 

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