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- (I) An electron and a proton are 0.53 x 10-10m apart. What is their dipole moment if they are at rest?arrow_forwardILLUSTRATE THE PROBLEM:arrow_forwardHow much work is required to bring three protons, initially infinitely far apart, to a configuration where each proton is 1.68E-15 m from the other two. (This is a typical separation for protons in a nucleus.)arrow_forward
- 3 (a) Suppose a dielectric sample has a surrounding ambient temperature To which is lower than 300 K. What will be its impact on Ec (increase or decrease)? If the value of Ec needs to be restricted, how you will choose the impulse time to (increase or decrease)? Explain. (b) For a porcelain solid slab dielectric insulator, Cv = 1.16 kJ/kg °K, u =0.25 eV, 0o = 2.45 W/m °K and To = 420 K. For te = 3.35 us, what is the value of critical breakdown field Eei? (c) If the specimen thickness is 5.48 cm, what is the breakdown voltage Vb1? (d) Now consider for the same porcelain slab of 3(b), To is now 220 K and all other parameters are unchanged. What is the value of new critical breakdown field Ec2 ? (e) For the same specimen thickness of 3(c), what is the new breakdown voltage Vb2 ? What is the ratio Vb2/ Vb1 ? u E.? = 3 (오) () 7.? exo Cy 2 Earrow_forward(I) What potential difference is needed to stop an electronthat has an initial velocity v= 6.6 x 105 m/s ?arrow_forward(3) Two protons are initially both traveling with velocity i = -1.91 x 10°m/sj while sepa- rated by a distance of 54.8fm. While these protons interact, they will begin to move away from one another and end up infinitely far away from one another. (a) Draw a picture of the protons in their initial state. Label the separation and the velocity on the image. Be sure to include a labeled set of axes. (b) What is the closest separation between these protons during their motion? (c) When the protons are infinitely far apart, one will have a speed which is 4.53 times larger than the other proton. What are the final velocities of these protons? (d) Draw a picture of the protons in their final state. Use the same orientation of axes from part (a). Label the velocities on the image.arrow_forward
- 4) A proton (p) and electron (e) are released when they are separated by a distance d initial acceleration for each particle, from one of the selections below. 4 À (4 Angstroms). Calculate, and then find, the magnitude of the %3D a) a(p) = 8.63 x 107 m/s², a(e) = 1.58 x 1021 m/s²; b) a(p) = 3.4 x 10'8 m/s², a(e) = 6.3 x 10²' m/s²; c) a(p) = 4.315 x 1016 m/s², a(e) = 7.9 x 1020 m/s²; or d) a(p) = 3.45 x 1018 m/s², a(e) = 6.32 x 10²' m/s?. %3D %3D 5) Two small spheres are placed a distance 20 cm apart and have equal charge. How many excess electrons must be placed on each sphere if the magnitude of the Coulomb repulsive force is F = 3.33 x 102' N? a) 2 x 103; b) 350; c) 761; or d) 1.2 x 10.arrow_forward(II) (a) What is the electric potential 2.5 x 10-15 maway from a proton(charge +e) (b) What is the electric potential energy of a system that consists of two protons 2.5 x10-15 m apart—as might occur inside a typical nucleus?arrow_forwardHow close would two stationary electrons have to be positioned so that their total mass is 4 times what it is when the electrons are very far apart?arrow_forward
- (d) Use R proton.) R = v²sin(208) 9 to write an expression for R in terms of v, E, the charge and mass of the proton, and the angle 6. (Use the following as necessary: v, e, E, 6, and m, for the mass of (e) Find the two possible values of the angle (in degrees). (Enter your answers from smallest to largest.) (r) Find the time interval during which the proton is above the plane in the figure above for each of the two possible values of @ (in degrees). (Enter your answers from smallest to largest.) ns nsarrow_forwardWith what initial speed should a positive charge, +q, of mass mbegiven such that if starting infinitely far away from a fixed positively charged nucleus, +Q,of radius R, the positive charge is justable to get the surface of the positive charge. You should be able to do the problem using energy with a system just being the approaching charge and then the system being both chargesarrow_forwardCSM.10 One way to measure nuclear radii is to determine the initial speed that a proton fired at a nucleus must have to be absorbed. Suppose you fire a proton directly at the nucleus of a gold atom, which contains 79 protons and neutrons. Since both the proton and the gold nucleus are positively charged, they will repel each other electrostati cally. What must the proton's minimum initial speed (as a fraction of the speed of light) be if it is to penetrate that nucleus (whose radius is R 6 fm)? (a) Give your answer symbolically in terms of R, the Cou- lomb constant 1/4TEo, the speed of light c, the charge on the proton q, and the proton's mass m. (b) What is this fraction's numerical value? (Hints: What must the proton's speed be at its point of closest approach if the collision is head-on and it barely touches the nucleus? Note also that the particles' initial separation will be essentially infinite compared to 6 fm. Neutrons have no charge, so the charge of a gold nucleus will be 79…arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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