Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10¬12Permeability of vacuum, µo = 12.566370614356 × 10–7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of oneelectron, me = 9.10938356 ×x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulombF/m. Magnetic2,YaCoriginbb 18 C are positioned at different coordinates as shown in the figure. Coordinate of q1 charge is (b, a) and that of q2Two charges qi = 9C and q2 =charge is (-b, a). Find the net electric field at the origin in unit vector notation . Assume that a = 2 m and b – 6 m. Here C denotes coulombs and mdenotes meters.x component of the Electric fieldGive your answer up to at least three significance digits.N/Cy component of the Electric fieldGive your answer up to at least three significance digits.N/C

Tollowing Cons m. Magnetic Permeability of vacuum, µo = 12.566370614356 × 10-7 H/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, µC means micro coulomb ants Il Y

Tollowing Cons m. Magnetic Permeability of vacuum, µo = 12.566370614356 × 10-7 H/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, µC means micro coulomb ants Il Y

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 × 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 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 × 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 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
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…
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 · 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…
NOTE: VALUE OF r1 = 9m. 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.
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.…
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…
Considering electron and proton as two charged particles separated by d = 5.8 × 10-¹¹ m calculate the Coulomb force between proton and electron. 1 Take the electron charge -1.6 × 10-¹9 C and = 9 x 10⁹ m/F. Give the answer in nano-Newtons (nN, 10¹⁹ N). Απερ