Minimum force in a single turn square loop

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SUMMARY

The discussion centers on calculating the minimum magnetic field, Bmin, required to tip a single-turn square loop carrying a current of 18.0 A and measuring 17.1 cm per side, with a mass of 0.0360 kg. The equation B = mg/2IL is utilized, where 'm' is the mass, 'g' is the acceleration due to gravity, 'I' is the current, and 'L' is the length of one side of the loop. The initial calculation of Bmin resulted in 0.5435 T, which was deemed incorrect, prompting further analysis of the forces acting on the loop.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with the equation B = mg/2IL
  • Basic knowledge of potential energy concepts
  • Ability to perform calculations involving current and magnetic fields
NEXT STEPS
  • Review the derivation of the equation B = mg/2IL
  • Explore the concept of torque in magnetic fields
  • Learn about the work-energy principle in the context of magnetic forces
  • Investigate the effects of varying magnetic field strengths on current-carrying loops
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Physics students, educators, and anyone studying electromagnetism, particularly those focusing on magnetic forces and their applications in circuits and mechanical systems.

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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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