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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- 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 alternativesAn electrostatic field is given by E = a(x + y) ex+ a(x+y) ẹy, where a is a constant. Determine the electrostatic potential difference AV between (x, y, z) = (L, L, 0) and the origin.An electron (q=−1.602×10−19[C]) moves a distance d=2.50[m] in a linear accelerator under a uniform external electric field of magnitude E→=3.50×10^7[N/C]. What is the energy gained by the electron in electron volts?
- 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/sThe space a ≤ r ≤ c < b between cylindrical capacitors of length L, radius a,b and is filled with a dielectric constant K, and the remaining space is vacuum. The potential difference between the capacitor plates is V. (a) Find the electric capacitance. (b) Find the electric field E, electric displacement D, and polarization P in c < r < bA 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> VcIf 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_0Calculate magnitude of electric field at (-3m,4m,-9m) if the electric potential is V(x,y,z)= 20x + 30y^4 - 28z^3 V.(a) Calculate the speed of a proton that is accelerated from rest through an electric potential difference of 154 V. m/s (b) Calculate the speed of an electron that is accelerated through the same potential difference. m/s Need Help?Recommended 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