Science
Electric Field & Electric Charge Physics Problems

Question Description

There are 22 questions in total that needs to be completed in the file attached to this question. An example problem is as follows:

An insulating rod having linear charge density 28 µC/m and linear mass density 0.2 kg/m is released from rest in a uniform electric field 326 V/m directed perpendicular to the rod. Determine the speed of the rod after it has traveled 2 m. Answer in units of m/s.

Please show all work that goes into solving each problem.

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joseph (dj23889) – Homework #4 – yu – (44020) This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points An insulating rod having linear charge density 28 µC/m and linear mass density 0.2 kg/m is released from rest in a uniform electric field 326 V/m directed perpendicular to the rod. 2. F = 3. F = 4. F = 5. F = 6. F = 7. F = 326 V/m 326 V/m 8. F = 9. F = Determine the speed of the rod after it has traveled 2 m. Answer in units of m/s. 002 (part 1 of 3) 10.0 points Consider three point charges at the vertices of an equilateral triangle. Let the potential be zero at infinity. 4 µC ̂ 0. 4 5m ı̂ 10. F = 1 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 ke (4 µC) (6 µC) (0.45 m)2 tan 30◦ cot 60◦ cot 45◦ cos 60◦ tan 45◦ sin 45◦ cos 30◦ cot 30◦ 004 (part 3 of 3) 10.0 points Find the total electrostatic energy of the system, again with the zero reference at infinity. Answer in units of J. 005 (part 1 of 2) 10.0 points Consider a uniformly charged sphere (an insulating sphere of radius R) and a spherical R concentric to Gaussian surface with radius 2 the sphere. The total charge in the sphere is Q. 60◦ P −6.75 µC 6 µC What is the electrostatic potential at the point P at the center of the base of the equilateral triangle given in the diagram? The value of the Coulomb constant is 8.98755 × 109 N · m2 /C2 . Answer in units of V. 003 (part 2 of 3) 10.0 points What is the vertical component of the electric force on the 4 µC charge due to the 6 µC charge? 1. F = ke (4 µC) (6 µC) tan 60◦ 2 (0.45 m) R p R 2 What is the total flux flowing through the 4 π R3 and Gaussian surface? Vsphere = 3 Asphere = 4 π R2 . 1. Φ = 4Q ǫ0 joseph (dj23889) – Homework #4 – yu – (44020) 2. Φ = 3. Φ = 4. Φ = 5. Φ = 6. Φ = Q 8 ǫ0 2Q ǫ0 Q 2 ǫ0 Q ǫ0 Q 4 ǫ0 006 (part 2 of 2) 10.0 points What is the magnitude of the electric field ~ at R ? kEk 2 2 ~ = ke Q 1. kEk R2 ~ = ke Q 2. kEk R2 ~ = 2 ke Q 3. kEk R2 ~ = ke Q 4. kEk 2 R2 2 ~ = ke Q 5. kEk 2 R2 2 ~ = 2 ke Q 6. kEk R2 007 10.0 points A point charge of 4.2 µC is located at the center of a sphere with a radius of 15 cm. Find the electric flux through the surface of the sphere. The Coulomb constant is 8.98755 × 109 N · m2 /C2 and the acceleration due to gravity is 9.8 m/s2 . Answer in units of N · m2 /C. 008 10.0 points In a charging process, 3 × 1013 electrons are removed from one small metal sphere and placed on a second identical sphere. Initially both metal spheres were neutral. After the charging process the electrical potential energy associated with the two spheres is found to be −0.063 J . What is the distance between the two spheres? The value of the Coulomb constant 2 is 8.98755 × 109 N · m2 /C2 and the elemental charge is 1.6 × 10−19 C . Answer in units of m. 009 10.0 points When you touch a friend after walking across a rug on a dry day, you typically draw a spark of about 2 mm. The magnitude of the electric field for which dielectric breakdown occurs in air is about 3 MV/m. Estimate the potential difference between you and your friend before the spark. Answer in units of V. 010 10.0 points Two alpha particles (helium nuclei), each consisting of two protons and two neutrons, have an electrical potential energy of 6.31 × 10−19 J . What is the distance between these particles at this time? The Coulomb constant is 8.98755 × 109 N · m2 /C2 , the elemental charge is 1.6021 × 10−19 C, and the acceleration due to gravity is 9.8 m/s2 . Answer in units of m. 011 (part 1 of 2) 10.0 points An object with a charge 5 C and a mass 0.3 kg accelerates from rest to a speed of 18 m/s. Calculate the kinetic energy gained. Answer in units of J. 012 (part 2 of 2) 10.0 points Through how large a potential difference did the object fall? Answer in units of V. 013 10.0 points An insulating sphere of radius 10 cm has a uniform charge density throughout its volume. joseph (dj23889) – Homework #4 – yu – (44020) 10 cm p 27.8 cm 7.4 cm If the magnitude of the electric field at a distance of 7.4 cm from the center is 88500 N/C , what is the magnitude of the electric field at 27.8 cm from the center? Answer in units of N/C. 3 the string is parallel to the electric field. Answer in units of m/s. 016 10.0 points The distance between the K+ and Cl− ions in KCl is 2.8 × 10−10 m. Find the energy required to separate the two ions to an infinite distance apart, assuming them to be point charges initially at rest. The elemental charge is 1.6 × 10−19 C and the Coulomb constant is 8.99 × 109 N · m2 /C2 . 1. 709.1 eV 2. 5.14 eV 014 10.0 points Consider an infinitely long line of charge having uniform charge per unit length 7.4 µC/m. Determine the total electric flux through a closed right circular cylinder of length 6.5 m and radius 65 m that is parallel to the line charge, if the distance between the axis of the cylinder and the line of charge is 1.5 m. The permittivity of free space is 8.8542 × 10−12 C2 /N · m2 . Answer in units of N · m2 /C. 015 10.0 points A charged particle is connected to a string that is is tied to the pivot point P . The particle, string, and pivot point all lie on a horizontal table (consequently the figure below is viewed from above the table). The particle is initially released from rest when the string makes an angle 50◦ with a uniform electric field in the horizontal plane (shown in the figure). 0.006 kg 1 µC 5 m initial release 1. 320 V/m 50 ◦ P P parallel 3. 101.3 eV 4. 8.91 eV 5. 6.77 eV 6. 4.37 eV 017 (part 1 of 3) 10.0 points A proton is released from rest in a uniform electric field of magnitude 1.9 × 105 V/m directed along the positive x axis. The proton undergoes a displacement of 0.2 m in the direction of the electric field as shown in the figure. 1.9 × 105 V/m + − + − + − + − + − + − + vA = 0 v0 − + + − + − 0.2 m + − B − + A + − + − Find the change in the electric potential if the proton moves from the point A to B. The mass of a proton is 1.672623 × 10−27 kg. Answer in units of V. ω Determine the speed of the particle when 018 (part 2 of 3) 10.0 points Find the change in potential energy of the joseph (dj23889) – Homework #4 – yu – (44020) proton for this displacement. Answer in units of J. 4 3. both AB and CD 4. neither AB nor CD 019 (part 3 of 3) 10.0 points Apply the principle of energy conservation to find the speed of the proton after it has moved 0.2 m, starting from rest. Answer in units of m/s. 020 (part 1 of 2) 10.0 points Consider the figure +Q A −Q + − y + − + − + − + − x + − + C D − + − + − + − + − #1 B #2 Of the following elements, identify all that correspond to an equipotential line or surface. 1. both AB and CD 2. line CD only 3. neither AB nor CD 4. line AB only 021 (part 2 of 2) 10.0 points Consider the figure C A − −q B + +q D Of the following elements, identify all that correspond to an equipotential line or surface. 1. line CD only 2. line AB only 022 10.0 points A large flat sheet of charge has a charge per unit area of 7 µC/m2 . Find the electric field intensity just above the surface of the sheet, measured from its midpoint. The permittivity of free space is 8.8542 × 10−12 C2 /N · m2 . Answer in units of N/C. ...
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