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Mathoholic!
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Homework Statement
The exercise asks you to calculate the magnitude of the magnetic field ([itex]\vec{B}[/itex]=B[itex]\hat{z}[/itex]), knowing that the U shaped conductor is initially parallel to Oyz plane and then rotated around the y-axis to a stable position defined by θ (angle) with the vertical axis (z).
The U shaped conductor has a linear density of mass, ρ (g/cm), with a horizontal length d, and a vertical length L. There is also a flow of electric charge (I) traveling the conductor.
Homework Equations
The Attempt at a Solution
To calculate the magnitude of the magnetic field I used the definition of torque (τ), equating the torque of gravity to the torque of the magnetic force so that the conductor is in equilibrium (θ). But to calculate the torque I have to know how to calculate its centre of mass, with which I'm having a hard time...
I'd appreciate some feedback on how to proceed in this exercise. :)
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