Electrical potential in an electric field is given by V = K/r (K being constant). If the position vector F = 2î +3}+6k, then the electric field will be (2î +3 j + 6k) , (2î +3 ĵ + 6k) » (a) K 243 (b) 343 (3i +23 + 6Â) , (6i +2 j + 6k , (c) K (d) -K 243 343
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A: I hope this helped you and you learned a lot :) If you have any questions or clarification, do not…
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- Given that E = (3x2 + y) ax + x ay (kV/m), find the work done in moving a -2µC charge from (0,5,0) to (2,-1,0) by taking path:(a) (0,5,0) → (2,5,0) → (2,-1,0)(b) y = 5 – 3xThe electric field obtained from the potential V=KQ / (x2+y2+z2)1/2 a)E=-KQ / (x2+y2+z2)2 b)E=KQ / (x2+y2+z2)2 c)E=-KQ / (x2+y2+z2)1/2 d)E=KQ / (x2+y2+z2)1/2 e) none of the alternativesThe electrostatic potential o(r) of a distribution of point charges has the form ø(r) cr-³ at a distance r from the origin (0,0,0), wherer»a.Which of the following distributions can give rise to this potential ? (0,0,0) (0,0,0) (a) (b) [TIFR 2015] -9 b. a a (0,0,0) (0,0,0) (c) (d) -g b. b- a
- 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(III) In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius 0.53 × 10-10 m. (a) What is the electric potential at the electron's orbit due to the proton? (b) What is the kinetic energy of the electron? (c) What is the total energy of the electron in its orbit? (d) What is the ionization energy– that is, the energy required to remove the electron from the atom and take it to r = ∞, at rest? Express the results of parts (b), (c), and (d) in joules and eV.A uniform electric field pointing in positive x direction exists in a region. Let A be the origin, B be the point on the x-axis at x =1 cm and C be the point on the y-axis at y =+1 cm. Then the potentials at the points A, B and C satisfy: (a) VA VB (ce) VASV (d) V> VcIn a particular region, the electric potential is given by V O a. E = (y²z - 4y)i + xy²j + (2xyz – 4x)k O b. E = (-y²z + 4y)i xy²j + (−2xyz + 4x)k O c. E=(-y²z + 4y)i + (−2xyz + 4x) ĵ – xy²k O d. E= (y²z - 4y)i + (2xyz — 4x)j + xy²k -xy²z + 4xy. What is the electric field in this region?If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of electron (in m/s2) The answer (in fundamental SI unit) is'The electric field obtained from the potential V=KQ / (x2+y2+z2)1/2 a)E=-KQ / (x2+y2+z2)2 b)E=KQ / (x2+y2+z2)2 c)E=-KQ / (x2+y2+z2)1/2 d)E=KQ / (x2+y2+z2)1/2 e) none of the alternativesThe electrostatic potential is given by, = 0 at x = 0 and x = a; 0 = V_0find magnitude of EF at (3.0x +5.1y - 2.5z) m. electric potential is (x.y.z)=5.5•x•(y^2)•zRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSONCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON