Minimum force in a single turn square loop

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To determine the minimum magnetic field (Bmin) required to tip a single-turn square loop with a current of 18.0 A, dimensions of 17.1 cm, and mass of 0.0360 kg, the equation B = mg/2IL is applied. The user initially calculated Bmin as 0.5435 T but found it incorrect, suggesting a misunderstanding in the application of the formula. It is noted that only one side of the loop experiences the upward force while the other remains on the table. To accurately find Bmin, the work done by the force on the loop must be equated to the potential energy of the loop as it tips vertically. Further clarification on the calculations and approach is sought to resolve the issue.
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Homework Statement



A single-turn square loop carries a current of 18.0 A. The loop is 17.1 cm on a side and has a mass of 0.0360 kg. Initially the loop lies flat on a horizontal tabletop. When a horizontal magnetic field is turned on, it is found that only one side of the loop experiences an upward force. Calculate the minimum magnetic field, Bmin, necessary to start tipping the loop up from the table.

Homework Equations



B=mg/2IL

The Attempt at a Solution



So basically i am using the above equation, and I'm dividing the weight of the loop by 2, because only half the loop is feeling force. So plugging in my numbers, i get .5435 T and it's incorrect, any suggestions? Thanks in advance!
 
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Initially the force is acting on one side of the loop. Other end is on the table. This force acts on the loop until the loop stands vertically on the table. Find the work done by this force on the loop. equate it to the potential energy of the loop. And find Bmin.
 

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