Difference between revisions of "E & M Qual Problems"
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| − | 1.) A rigid, infinitesimally thin conducting ring of radius <math>a=0.15 m</math> and mass <math>m=1.0kg</math> is initially oriented nearly vertically in a uniform vertical magnetic field <math>\vec{B} = B_0 \hat{z}</math> where <math>B_o = 2.5 Telsa</math>. The resistance of the ring is <math>R = 10^{-3} \Omega</math> | + | 1.) A rigid, infinitesimally thin conducting ring of radius <math>a=0.15 m</math> and mass <math>m=1.0kg</math> is initially oriented nearly vertically in a uniform vertical magnetic field <math>\vec{B} = B_0 \hat{z}</math> where <math>B_o = 2.5 Telsa</math>. The resistance of the ring is <math>R = 10^{-3} \Omega</math>. The ring is initially at rest at a polar angle of <math>\theta_0 = 1.0 mrad</math> with respect to the <math>\hat{z}</math>-axis. The orientation of the rin is such that the unit normal vector <math>\hat{n}</math> lies in the <math>\hat{y} -\hat{z}</math> plane, initially nearly parallel to the <math>-\hat{y}</math> direction. |
Revision as of 20:51, 22 August 2007
1.) A rigid, infinitesimally thin conducting ring of radius and mass is initially oriented nearly vertically in a uniform vertical magnetic field where . The resistance of the ring is . The ring is initially at rest at a polar angle of with respect to the -axis. The orientation of the rin is such that the unit normal vector lies in the plane, initially nearly parallel to the direction.