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Week7_1

# Week7_1 - Problem 22.54 Assume that the region to the right...

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1 Problem 22.54. ± Assume that the region to the right of a certain vertical plane contains a vertical magnetic field of magnitude 1.00 mT and that the field is zero in the region to the left of the plane. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. ± (a) Determine the time interval required for the electron to leave the “field-filled” region, noting that its path is a semicircle. ± (b) Find the kinetic energy of the electron assuming that the maximum depth of penetration into the field is 2.00 cm.

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2 Mass Spectrometer ± A mass spectrometer separates ions according to their mass-to-charge ratio ± A beam of ions passes through a velocity selector and enters a second magnetic field
3 Mass Spectrometer, cont ± After entering the second magnetic field, the ions move in a semicircle of radius r before striking a detector at P ± If the ions are positively charged, they deflect upward ± If the ions are negatively charged, they deflect downward ± This version is known as the Bainbridge Mass Spectrometer

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4 Mass Spectrometer, final ± Analyzing the forces on the particles in the mass spectrometer gives ± Typically, ions with the same charge are used and the mass is measured o rB B m qE =
5 Cyclotron ± A cyclotron is a device that can accelerate charged particles to very high speeds ± The energetic particles produced are used to bombard atomic nuclei and thereby produce reactions ± These reactions can be analyzed by researchers

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6 Cyclotron, 2 ± D 1 and D 2 are called dees because of their shape ± A high frequency alternating potential is applied to the dees ± A uniform magnetic field is perpendicular to them
7 Cyclotron, 3 ±

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Week7_1 - Problem 22.54 Assume that the region to the right...

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