(II) A thin cylindrical shell of radius R 1 is surrounded by a second concentric cylindrical shell of radius R 2 (Fig. 22–35). The inner shell has a total charge + Q and the outer shell − Q . Assuming the length ℓ of the shells is much greater than R 1 or R 2 , determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for ( a ) 0 < R < R 1 , ( b ) R 1 < R < R 2 , and ( c ) R > R 2 . ( d ) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius ( R 1 + R 2 )/2? Neglect thickness of shells. FIGURE 22–35 Problems 35, 36, and 37.
(II) A thin cylindrical shell of radius R 1 is surrounded by a second concentric cylindrical shell of radius R 2 (Fig. 22–35). The inner shell has a total charge + Q and the outer shell − Q . Assuming the length ℓ of the shells is much greater than R 1 or R 2 , determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for ( a ) 0 < R < R 1 , ( b ) R 1 < R < R 2 , and ( c ) R > R 2 . ( d ) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius ( R 1 + R 2 )/2? Neglect thickness of shells. FIGURE 22–35 Problems 35, 36, and 37.
(II) A thin cylindrical shell of radius R1 is surrounded by a second concentric cylindrical shell of radius R2 (Fig. 22–35). The inner shell has a total charge +Q and the outer shell −Q. Assuming the length ℓ of the shells is much greater than R1 or R2, determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for (a) 0 < R < R1, (b) R1 < R < R2, and (c) R > R2. (d) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius (R1 + R2)/2? Neglect thickness of shells.
T1. Calculate what is the received frequency when the car drives away from the radar antenna at a speed v of a) 1 m/s ( = 3.6 km/h), b) 10 m/s ( = 36 km/h), c) 30 m /s ( = 108 km/h) . The radar transmission frequency f is 24.125 GHz = 24.125*10^9 Hz, about 24 GHz. Speed of light 2.998 *10^8 m/s.
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