Describe your approach to determining the distance between the electron and proton in an atom if the potential energy U of the electron is known to be 14 eV. O a. Use the law of conservation of energy. O b. Use Coulomb's law. O c. Use the definition of electrostatic potential energy U of one point charge q at position r in the presence of an electric potential. O d. Use Newton's second law.
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- 2. Four point-charges {q,-q, q, -q} are located on the z-axis at positions 2o+a/2, zo-a/2, -z0 + a/2 and -zo – a/2, respectively, as indicated in the figure. (a) What is the exact total electrostatic potential energy U of this configuration of these four charges? Two Finite Dipoles (b) For zo > a, use the expansion 1 1-r+- +... to find the leading 1+1 term of U in powers of a/zo (in addition to the 20-independent term -q/[2n€pa]). (c) Assuming the charges +q at z = 20 + a/2 form a rigid dipole p, and the charges +q at z = -20 +a/2 form a rigid dipole p2, are the two dipoles attracted to each other or repelled from each other?2. A moving charge, q = + 3µC, takes a curved path (see broken curve with arrow) from point A through point B as it is deflected by its interaction with the charge Q = + 24µC. Note that the +24µC charge remains fixed in the position shown. Neglect gravitational forces and gravitational energies in this problem. a. What is the change in the electric potential energy of the system as the + 3µC charged particle moves from point A to point B? b. What is the change in the kinetic energy of this + 3µC charged particle as it moves from point A to point B? c. Will the speed of the charged particle at point B be greater than or less than the speed at point A? 6 m Q = +24µC 8 mQUESTION 9 Which of the following statements is not true for a solid conductor in electrostatic equilibrium? a. The electric potential inside the conducting material must be zero. b. The electric field is perpendicular to the outer surface of the conductor. C. The excess charge resides solely on the outer surface of the conductor. d. The outer surface of the conductor is an equipotential surface. e. The electric field is zero everywhere inside the conducting material.
- Which statements must be true about the surface of a charged conductor in which no charge is moving? (There could be more than one correct choice.) a. The electric field is constant at the surface. b. The electric field is zero at the surface. c. The electric potential of the surface is zero. d. The electric potential is constant over the surface. e. The electric field is perpendicular to the surface.14. A completely ionized atom (net charge +Q) is accelerated through a potential difference V. What is the increase in kinetic energy of the atom?Two parallel oppositely charged plates have a field of 20 V/m between them. What is the magnitude of the work is done on a +5 μC charge by the field when the charge is moved 30 cm: A. Parallel to the field. Explain B. Perpendicular to the field. Explain
- 3. Charge q is fired toward a stationary positive point charge. a. If q is a positive charge, does it speed up or slow down as it approaches the stationary charge? Answer this question twice: i. Using the concept of force. ii. Using the concept of energy. b. Repeat part a for q as a negative charge.6. The next 5 questions all have to do with the diagram shown, on which I have placed an electron at the origin. The grid spacing is 1 Angstrom per small square. Now place an atomic nucleus with 8 protons on positive x-axis, at x = 7.6 Angstroms. How much work did it take you to bring this nucleus in from 1 m away? 22.7 eV 11.4 eV 15.1 eV 7.6 eV3. A parallel plate capacitor is connected to a 5 V battery until the battery is fully charged. The distance between the capacitor plates is 5 mm. The electric permittivity of a vacuum is ε0 = 8.85 x 10-12 C²/Nm². C. If the area of each piece is 0.3 m², what is the charge on each piece ?........ x 10-10 C D. What is the capacity of the capacitor ? .......... x 10-10 F Please solve the subparts C,D solve max in 30 minutes thank u
- 2. a. Draw a force vector at A for a positive test charge. b. Draw a force vector at point B for a negative test charge. c. How much work is done by the field if a charge of q = 2x 10-3 C. is moved from A to C? d. How much work is done by the field if the same test charge moves from A to D? C A 6V OV 5V 4V 3V 2V 1VB. Using a Venn diagram, compare and contrast eledtric potential, electric potential difference and electric potential energy.2