Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N , consider any one circumference electron—call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N , consider any one circumference electron—call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one circumference electron—call it e0. How many other circumference electrons are closer to e0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a
narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere. In
configuration 2, N - 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring. (a) What is the
smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one
circumference electron-call it eo. How many other circumference electrons are closer to e than the central electron is?
(a) Number
Units
(b) Number
Hi
Units
Do q 9,23
A proton is located at the origin, and a second proton is located on the x-axis at x1 = 6.22 fm (1 fm = 10−15 m).
(a) Calculate the electric potential energy associated with this configuration. J (b) An alpha particle (charge = 2e, mass = 6.64 ✕ 10−27 kg) is now placed at (x2, y2) = (3.11, 3.11) fm. Calculate the electric potential energy associated with this configuration. J (c) Starting with the three particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) J (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. m/s (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity. m/s
Chapter 24 Solutions
Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set
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