Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnitudeof 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, eachsymbol carries their usual meaning. For example, uC means micro coulomb.Suppose you have q = 20 µC charge placed at the orign of your coordinate system. b) Now you place a hollow conducting sphere of inner radius a = 0.5 m and outer radius b = 2.0 m. Calculate the net enclosed charge by the Gaussiansurface of radius r.net enclosed charge by the Gaussian surface of radius riGive your answer up to at least three significance digits.Cb

Gaussian surface:- It is the imaginary surface used to enclosed charge upto the distance where we…

b) Now you place a hollow conducting sphere of inner radius a = 0.5m and outer radius b= 2.0m. Calculate the net enclosed charge by the Gaussian surface of radius r. net enclosed charge by the Gaussian surface of radius T1 Give your answer up to at least three significance digits.

b) Now you place a hollow conducting sphere of inner radius a = 0.5m and outer radius b= 2.0m. Calculate the net enclosed charge by the Gaussian surface of radius r. net enclosed charge by the Gaussian surface of radius T1 Give your answer up to at least three significance digits.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 35PQ: Two 25.0-g copper spheres are placed 75.0 cm apart. Each copper atom has 29 electrons, and the molar...

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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C. Vacuum permitivity, eo = 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. Y R. Suppose you have 5 point charges q to q, distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which is also the origin of given coordinate system. The radius of the semi-circle is R = 34 cm and the magnitude of the charges are as follows : 91 = = 19 µC, q2 = q4 = 32 µC and q = q6 = -25 µC. a) Find the vector that points from q to g6 and call it F1,6- b) Calculate the coulomb force on g6 due to q in unit vector notation and call it F16 c) Find the vector that points from q3 to g6 and call it F3,6- d) Calculate the coulomb force on q6 due to g in unit vector notation and call it F36. e)…
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m? /c. Vacuum permitivity, én = 8.854 x 10 1? F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10 19 C. Mass of one electron, 7, = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC 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 Achanges 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 17 v is connected across the plates. For gasoline, dielectric constant K, You can ignore any fringing effects.…
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C². Vacuum permitivity, eo = 8.854 × 10¬12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19C. Mass of one electron, me = 9.10938356 × 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Consider two charges q1 = -27 e and q2 = -18 e at positions (31, 20, –50) and (- 45 -25 37) respectively where all the coordinates are measured ). - in the scale of 10–9 'm or nano meters. If position vector of the charge qi is r and charge q2 is r2. a) Find the relative position vector that points from charge q1 to charge q2. x component Give your answer to at least three significance digits. m y component Give your answer to at least three significance digits. m z component Give your answer to at least three significance digits. m
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N - m? /C. Vacuum permitivity, eo = 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, mẹ = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries 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 fll. 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 17 v is connected across the plates. For gasoline, dielectric constant Kg You can ignore any fringing effects. a)…
Use the following constants if necessary. Coulomb constant, k= 8.987 x 10° N. m?/C2. Vacuum permitivity, q = 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. A charged particle with charge q= 55 µC' is moving with a speed of v = 15 x 105 m/s in a uniform magnetic field of B= 18 mT. The direction of the speed is perpendicular to the direction of the magnetic field. Mass of that particle is m = 70 x 10-6 kg. Calculate the radius of it's circular orbit and angular frequency. Radius of circular orbit R Give your answer up to at least three significance digits. m Angular frequency w Give your answer up to at least three significance digits. radian/sec
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, me = 9.10938356 x 10¬31 kg. Unless specified otherwise, each symbol carries 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 12 v is connected across the plates. For gasoline, dielectric constant K, You can ignore any fringing effects.…
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m?/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. The gravitational acceleration near the surface of Earth g = 9.8 m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . ceiling 92 step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m = m2 = m and equal charge g = 2 = q. Assume that the charge of each sphere is q = 36 nC, the length of the thread is L = 228 cm and the horizontal separation is z = 20 cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system.…
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C2. Vacuum permitivity, €0 = 8.854 x 1012 F/m. Magnitude of the charge of the electron, e = -1.60217662 x 10-19 C. Mass of the electron, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. +Y Coordinates of three charges in a 2D plane is given as follows: q1 = -44 µC at p1 = (-6, 11), q2 = -23 µC at P2 = (-9, –10) and q3 = -45 µC at p3 = (-20, 20). These coordinates are given in centimeters. a) Compute force on q2 due to q using the formula F12 = k2 f12- x 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 b) Compute force on q2 due to q1 using the formula F12 = k12 F12. x 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…
8.987 x 10° N - m² /C2. Vacuum permitivity, eo Use the following constants if necessary. Coulomb constant, of the Charge of one electron, e = symbol carries their usual meaning. For example, µC means micro coulomb . 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 gs distributed along a semi-circie maintaining equal distance. The charge gs is at the center of the circle. The -27 μC. radius of the semi-circle is R 28 cm and the magnitude of the charges are as follows : 91 95 = 24 µC, 92= q4 29 µC and qs a) Find the vector that points from qi to gs and call it1,6- z component of the vector Give your answer to at least three significance digits. y component of the vector Give your answer to at least three significance digits. m e) Find the vector that points from q4 to ge and call it F46 I component of the vector Give your answer to at least three significance digits m…
8.987 x 10° N - m² /C2. Vacuum permitivity, co Use the following constants if necessary. Coulomb constant, k of the Charge of one electron, e symbol carries their usual meaning. For example, uC means micro coulomb 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. Consider two charges q 14 e and 2 16e at positions (-41, 32, 17) and (,-42) respectively where all the coordinates are measured in the scale of 109 m or nano meters. If position vector of the charge qi is and charge q2 is 2. b) Calculate the force acting on qi due to q2. z 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. N Now consider another charge q3 26 e is in the zyz system positioned at (4,,-46). Calculate the net force acting on gi and q2. c) Net…
Need help in part (d) and (e): Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . Suppose you have q=11μC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance r1=9m from the charge. b) Now you place a hollow conducting sphere of inner radius a=4.5m and outer radius b=18.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. c) Now consider another hollow conducting sphere of inner radius c=27m and outer radius d=45m. Calculate the net enclosed charge by the Gaussian surface of radius r2=22.5m and electric field at r2. d) Calculate the net flux through the Gaussian sphere of radius r2. e) Calculate the potential at r = d, r = c and…
Complete the following statements: After some rather exhausting counting (and a rather tall tale), a physics teacher determines that a very small sample of an object contains ... a. ... 8.25749 x 1017 protons and 5.26 x 1014 electrons; the charge on this object is ____ Coulombs. b. ... 3.12 x 1014 protons and 4.5488 x 1016 electrons; the charge on this object is ____ Coulombs. c. ... 2.40277 x 1019 protons and 9.88 x 1016 electrons; the charge on this object is ____ Coulombs. d. ... 2.6325 x 1015 protons and 2.6325 x 1015 electrons; the charge on this object is ____ Coulombs.