At a comer of a 30 mm x 40 mm rectangle is placed a charge of -40µC and at the two adjacent comers are charges of +20µC, as shown in the figure. Determine: a. The potential at the 4 corner P. b. The potential at the center of the rectangle. c. The work that must be done by an external force to bring a charge q; = +5µC from the center of the rectangle to the 4" corner P. 91 = +20 µC 92 = -40 µC B 30 mm P 40 mm '43 = +20 µC

At a comer of a 30 mm x 40 mm rectangle is placed a charge of -40µC and at the two adjacent comers are charges of +20µC, as shown in the figure. Determine: a. The potential at the 4 corner P. b. The potential at the center of the rectangle. c. The work that must be done by an external force to bring a charge q; = +5µC from the center of the rectangle to the 4" corner P. 91 = +20 µC 92 = -40 µC B 30 mm P 40 mm '43 = +20 µC

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter8: Capacitance

Section: Chapter Questions

Problem 64AP: A capacitor is made from two flat parallel plates placed 0.40 mm apart. When a charge of 0.020C is...

See similar textbooks

Similar questions

Integrated Concepts A lightning bolt strikes a tree, moving 20.0 C of charge through a potential difference of 1.00102 MV. (a) What energy was dissipated? (b) What mass of water could be raised from 15°C to the boiling point and then boiled by this energy? (c) Discuss the damage that could be caused to the tree by the expansion of the boiling steam.
A research Vail de Graaff generator has a 2.00-m- diameter metal sphere with a charge of 5.00 mC on it. (a) What is the potential near its surface? (b) At what distance from its center is the potential 1.00 MV? (c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. What is its energy in MeV when the atom is at the distance found in part b?
Two charges 20Cand+2.0C are separated by 4.0 cm on the z-axis symmetrically about origin, with the positive one uppermost. Two space points of interest and P1andP2 are located 3.0 cm and 30 cm from origin at an angle 30 with respect to the z-axis. Evaluate electric potentials at P1andP2 and in two ways: (a) Using the exact formula for point charges, and (b) rising the approximate dipole potential formula.
A research Van de Graaff generator has a 2.00-rn- diameter metal sphere with a charge of 5.00 mC on it. (a) What is the potential near its surface? (b) At what distance from its center is the potential 1.00 MV? (C) An oxygen atom with three missing electrons is released near the Van de Graatf generator. What is its energy in MeV at this distance?
In different experimental trials, an electron, a proton, or a doubly charged oxygen atom (O--), is fired within a vacuum tube. The particle's trajectory carries it through a point where the electric potential is 40.0 V and then through a point at a different potential. Rank each of the following cases according to the change in kinetic energy of the particle over this part of its flight from the largest increase to the largest decrease in kinetic energy. In your ranking, display any cases of equality, (a) An electron moves from 40.0 V to 60.0 V. (b) An electron moves front 40.0 V to 20.0 V. (c) A proton moves from 40.0 V to 20.0 V'. (d) A proton moves from 40.0 V to 10.0 V. (e) An O-- ion mines from 40.0 V to 60.0 V.
An electrostatic paint sprayer has a 0.200-m-diameter metal sphere at a potential of 25.0 kV that repels paint droplets onto a grounded object. (a) What charge is on the sphere? (b) What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s?
(a) What is the potential between two points situated 10 cm and 20 cm from a 3.0 C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?
In nuclear fission. a nucleus splits roughly in half. (a) What is the potential 2.00 10-14 m from a fragment that has 46 protons in it? (b) What is the potential energy in MeV of a similarly charged fragment at this distance?
To form a helium atom, an alpha particle that contains two protons and two neutrons is fixed at one location, and two electrons are brought in from far away, one at a time. The first electron is placed at 0.6001010 m from the alpha particle and held there while the second electron is brought to 0.6001010 m from the alpha particle on the other side from the first electron. See die final configuration below, (a) How much work is done in each step? (b) What is the electrostatic energy of die alpha particle and two electrons in the final configuration?
Oppositely charged parallel plates are separated by 5.33 mm. A potential difference of 600. V exists between the plates. (a) What is the magnitude of the electric field between the plates? (b) What is the magnitude of the force on an electron between the plates? (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 2.90 mm from the positive plate?
A 0.500-cm-diameter plastic sphere, used in a static electricity demonstration, has a uniformly distributed 40.0-pC charge on its surface. What is tire potential near its surface?
An ionized oxygen molecule (O+2) at point A has charge +e and moves at 2.00 103 m/s in the positive x-direction. A constant electric force in the negative x-direction slows the molecule to a stop at point B, a distance of 0.750 mm past A on the x-axis. Calculate (a) the x-component of the electric field and (b) the potential difference between points A and B.