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1.) An electron enters a region of magnetic field of magnitude 0.014 T, traveling perpendicular to the linear boundary of the region. The direction of the field is perpendicular to the velocity of the electron.
(a) Determine the time it takes for the electron to leave the “field-filled” region, noting that its path is a semicircle. ns
(b) Find the kinetic energy of the electron if the radius of its semicircular path is 2.00 cm. keV
2.) A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 7934 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0913 T. In the deflection chamber the particle strikes a photographic plate 39.8 cm removed from its exit point after traveling in a semicircle.
[IMG: 19-p-036.gif]
(a) What is the mass-to-charge ratio of the particle? 2.091e-7 kg/C
(b) What is the mass of the particle if it is doubly ionized? 6.69e–26kg
(c) What is its identity, assuming it’s an element?
3.) It is desired to construct a solenoid that will have a resistance of 5.40 [IMG: omegacap.gif] (at 20°C) and produce a magnetic field of 4.00 ? 10^-2 T at its center when it carries a current of 4.00 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 [IMG: multiply.gif] 10^-8 ? · m.)
(a) the number of turns of wire needed to build the solenoid turns
(b) the length the solenoid should have
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