Use the following constants if necessary. Coulomb constant, &= 8.987 x 10N. m/ce 0- 8.854 x 10-12/m me= 9.10938356 x 10-3g means micro coulomb Vacuum permitivity, . Magnitude of the Charge of one electron, e= -1.60217662 x 10-1 . Mass of one electron, Unless specified otherwise, each symbol carries their usual meaning. For example, pC Consider two charges g1 = 37e and g2= 18 e at positions (20, 38, 37) and 40) respectively where all the coordinates are measured in the scale of 10 m or nano meters. If position vector of the charge g1 is 1 and charge a is a) Find the relative position vector that points from charge g to charge . - component Give your answer to at least three significance digits. y component Give your answer to at least three significance digits. m. I component Give your answer to at least three significance digits. m. b) Calculate the force actir 1 due to 2. I component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. z component of the force Give your answer to at least three significance digits.

Use the following constants if necessary. Coulomb constant, &= 8.987 x 10N. m/ce 0- 8.854 x 10-12/m me= 9.10938356 x 10-3g means micro coulomb Vacuum permitivity, . Magnitude of the Charge of one electron, e= -1.60217662 x 10-1 . Mass of one electron, Unless specified otherwise, each symbol carries their usual meaning. For example, pC Consider two charges g1 = 37e and g2= 18 e at positions (20, 38, 37) and 40) respectively where all the coordinates are measured in the scale of 10 m or nano meters. If position vector of the charge g1 is 1 and charge a is a) Find the relative position vector that points from charge g to charge . - component Give your answer to at least three significance digits. y component Give your answer to at least three significance digits. m. I component Give your answer to at least three significance digits. m. b) Calculate the force actir 1 due to 2. I component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. z component of the force Give your answer to at least three significance digits.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 75P: The probability of fusion occurring is greatly enhanced when appropriate nuclei are brought close...

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The probability of fusion occurring is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high- temperature gas ions or by accelerating the nuclei toward one another. (a) Calculate the potential energy of two singly charged nuclei separated by 1.001012. (b) At what temperature will atoms of a gas have an average kinetic energy equal to this needed electrical potential energy?
Use the following constants if necessary. Coulomb constant, k of the Charge of one electron, e symbol carries their usual meaning. For example, µC means micro coulomb . -8.987 x 10° N . m? /C?. Vacuum permitivity, eg = 8.854 x 10 12 F/m. Magnitude 9.10938356 x 10 31 kg. Unless specified otherwise, each 1.60217662 x 10-19 C. Mass of one electron, m. R Suppose you have 5 point charges q to gs distributed along a semi-circie maintaining equal distance. The charge gs is at the center of the circle. The radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : 9 24 µC, 92 = q4 29 µC and qs = q 27 µC. f) Calculate the coulomb force on go due to qa in unit vector notation and call it F46- z component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N g) Calculate the Net Electric force on g6 due to all other charges. z component of the force Give your answer to…
Use the following constants if necessary. Coulomb constant, k of the Charge of one electron, e= symbol carries their usual meaning. For example, µC means micro coulomb. 8.987 x 10° N - m? /C?. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude 9.10938356 x 10 31 kg. Unless specified otherwise, each 1.60217662 x 10 19 C. Mass of one electron, m. Suppose you have 5 point charges q to qs distributed along a semi-circle maintaining equal distance. The charge gs is at the center of the circle. The radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : q1 24 uC, 92 29 µC and g 27 µC. c) Find the vector that points from q3 to q6 and call it 3,6. I component of the vector Give your answer to at least three significance digits. III y component of the vector Give your answer to at least three significance digits. d) Calculate the coulomb force on g6 due to q3 in unit vector notation and call it F3,6. I component of the force Give your answer to at least three…
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N. m²/C². Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Suppose you have g= 10 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance ri = 4 m from the charge. Magnitude of the electric field Give your answer up to at least three significance digits. N/C
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C°. Vacum permitivity, co = 8.854 x 10-" F/m. Magnitude of the Charge of one electron, e = 1.60217662 × 10-" C. Mass of one electron, m, = 9.10938356 × 10-5i kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . |Detecting screen An electron is shot with an initial speed of ty = 8 x 10ʻ m/s, at angle 6, = 61° from the z axis.It moves through a uniform electric field Ê = 13 N/C}. A screen for detecting electrons is positioned parallel to the axis, at distance z = 6m. a) How high does the electron can go in the vertical direction? (Note : distance is a positive quantity) b) In unit-vector notation, what is the velocity of the electron when it hits the screen? e) Calculate the coordinate of the electron when it hits the screen.
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m/c. Vacuum permitivity, 60 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Suppose you have g = 17 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance ri = 9 m from the charge. b) Now you place a hollow conducting sphere of inner radius a = 4.5 m and outer radius b = 18.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. b.
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, mẹ = 9.10938356 × 10 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb . -31 P R
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C2. Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Suppose you have the following system where there are two types of dielectric materials between capacitor plates. The dimension of the capacitor plates are w = 17.0 cm, l = 37.0 cm and the separation between the plates ared = 11.0 cm. Dielectric material with dielectric constant k1 = 1.8 takes up the upper part of the capacitor with vertical distance h = 9.25 cm. And the remaining part is filled with material having dielectric constant K2 = 2.2. Ky We can replace two types of material with different dielectric constant by only one type of material with effective dielectric constant Keff. This way the capacitance of the whole system…
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m²/C2. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 1031 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. R point charges q, to q, distributed along a semi-circle maintaining equal distance. The charge g, is at the center of the circle. The Suppose you have radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : = 4 = 24 µC, 92 = 4 = 29 µC and q3 = 6 = -27 µC. a) Find the vector that points from q, to 96 and call it r1,6 I component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². vacuum permitivity, en = 8.854 x 10 12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol caries their usual meaning. For example, µC means micro coulomb. Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant kchanges from a value of 1 when the tank is empty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. The dimension of the fuel tank is width w = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 11 v is connected across the plates. For gasoline, dielectric constant kg You can ignore any fringing effects.…
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m2/C2. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. a i a 93 b a) Calculate how much work is required to set up the arrangement if the charges are initially infinitely far apart and were at rest. (Hint: Use the relation between work done by external agent and total electric energy of the system) Here a = 19 cm, b = 9 cm and the three charges are gl = 30 µC, q2 = 25 µC.q3 = 20 µC Work done Give your answer to at least three significance digits. joules b) Calculate the potential at the controid(point p) of the triangle. Potential at the centroid Give your answer to at least three significance digits. volts
04 Two very small spheres are initially neutral and separated by a distance of $6 cm. Suppose that 310¹1 electrons are removed from one sphere and placed on the other. (a) What is the magnitude of the electrostatic force that acts on cach sphere? (b) is the force attractive or repulsive? Why?