0.250 meters. If the electrons have a ve

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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#13 Radius of Circular Orbits

In an accelerator facility detector, it is desired to have electrons move in circular orbits in the presence of a magnetic field (i.e., with the velocity perpendicular to the magnetic field lines) such that the radius is 0.250 meters. If the electrons have a velocity of \(2.35 \times 10^6 \, \text{m/s}\) and a mass of \(9.11 \times 10^{-31} \, \text{kg}\), what must be the magnetic field strength? Recall that the (negative) charge of an electron is \(1.60 \times 10^{-19} \, \text{C}\) in magnitude.

- (A) 0.137 Gauss
- (B) 0.535 Gauss
- (C) 2.51 Gauss
- (D) 17.2 Gauss
Transcribed Image Text:#13 Radius of Circular Orbits In an accelerator facility detector, it is desired to have electrons move in circular orbits in the presence of a magnetic field (i.e., with the velocity perpendicular to the magnetic field lines) such that the radius is 0.250 meters. If the electrons have a velocity of \(2.35 \times 10^6 \, \text{m/s}\) and a mass of \(9.11 \times 10^{-31} \, \text{kg}\), what must be the magnetic field strength? Recall that the (negative) charge of an electron is \(1.60 \times 10^{-19} \, \text{C}\) in magnitude. - (A) 0.137 Gauss - (B) 0.535 Gauss - (C) 2.51 Gauss - (D) 17.2 Gauss
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