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Homework Help
Introductory Physics Homework Help
Calculating Area & Direction of Magnetic Field
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[QUOTE="JoelKTH, post: 6836440, member: 728050"] [B]Homework Statement:[/B] A homogenous B-field B= B e_x + B e_z is acting in space. A metalbar is attached in a horisontal axis, mounted on the height y=L on the y-axis. The metal bar is swinging freely in the xy-plane around the axis. The metal bars pendulummovement is described as α(t) = β cos(ωt) which is time dependent on t. β > 0 och ω > 0 are constants. The metal bar lower end is in electrical contact with a metal rail with the geometry of a circular arc with radius L. The metal bar is through the resistance R coupled to the axis and the bar as the figure shows. The the self-inductance of the circuit is being neglected as the circuits other resitive losses. Calculate the current i(t) and use Lenz law to validate that the currents sign is correct. [B]Relevant Equations:[/B] emk= - d(phi)/dt, i(t)= emk/R, phi=surface integral(B dS) Hi, the problem statement is above. I have some questions about how to calculate the area and the direction of the magnetic field of this problem. As the magnetic flux, my professor have defined it as Phi= integral([B]B [/B]d[B]S[/B])=(Area)[B]e_x B[/B]= (Area_triangle + (L^2/2) *(β + α(t)))*B [B]e_z[/B]. [U]How can one know that the magnetic field is in the [B]e_z[/B] direction?[/U] As far as I know the right hand rule makes the direction of the magnetic field in [B]e_phi[/B] direction. However to convert this [B]e_phi[/B]=-[B]e_x[/B] sin(phi) + [B]e_y[/B] cos(phi) does not help me. Another question is how the Area is calculated. There is a figure attached. As the figure is time dependent, I am aware that the Area_triangle will change. Kind regards, [/QUOTE]
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Calculating Area & Direction of Magnetic Field
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