The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius ri=3mm and outer hollow conducting tube with an inner radius of r2=33mm. The length of the capacitor is L=27cm. Figure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E=6.4volts. There is no dielectric material present in the system as of now. Fig. I Fg.2 a) Calculate the capacitance of this capacitor. b) Say the inner rod is positively charged. Given this, calculate the charge density of the outer surface. And show how the electric field lines are oriented in this system. Hint: you can use the cross section for this (Fig. 2). What is charge density of the outer surface?

The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius ri=3mm and outer hollow conducting tube with an inner radius of r2=33mm. The length of the capacitor is L=27cm. Figure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E=6.4volts. There is no dielectric material present in the system as of now. Fig. I Fg.2 a) Calculate the capacitance of this capacitor. b) Say the inner rod is positively charged. Given this, calculate the charge density of the outer surface. And show how the electric field lines are oriented in this system. Hint: you can use the cross section for this (Fig. 2). What is charge density of the outer surface?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 55P: The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating...

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Use the following constants if necessary. Caulomb constant, k = 8.987 x 10° N - m2/C2 Vacuum permitivity, cg = 8.854 x 10-12F/m. Magnetic Permeability of vacuum, Po = 12.566370614356 x 10H/m. Charge of one electron, e= -1.60217662 x 1o DC. Mass af one electron, m. = 9.10938356 x 10-31 kg Uniess specified otherwise, each symbol carries their usual meaning. Far example, pC mears micro coulomb A solid spherical conductor, with a spherical cavity at the center, carries some charge q= 31 uC. And inside the cavity we put some charge g' = 20 µC. The radi are rı = 6 cm and rg = 13 cm a) What is the surface charge density of the solid conductor? charge density of the outer surface Lie your anaer up to at leant three signicance dgt C/m charge density of the inner surface Liive your anaer up to at leant thre signicance dgit C/m? Activate
Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m? /C. Vacuum permitivity, co = 8.854 x 10 13 F/m. Magnetic Permeability of vacuum, Ho = 12.5663706144 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10 19 C. Mass of one electron, 7y = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb dz wire Y wire 2 de K-- l, - K.- 1,- A current carying wire(wire-1) with é = 10 Amperes is placed at the origin on the Y-Z plane. Another current camying wire(wire-2) with iz = 12 Amperes is placed l= 8 m distance apart on the Y-axis. The point Pa is l1 = 6m from the wire-1. P (0, 6, 6). P, (0,6, 0) and the point P3 (0,6, 7) are on the same line. The direction of the current is given in the figure. Step 1: Consider a wire-1 only. i) Calculate magnetic field at P1 (x. y and z component) ii) Calculate the magnetic field at P2 (x. y and z component)
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10°N · m²2/c². Vacuum permitivity, eo = 8.854 × 10-12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 × 10 -/H[m. Magnitude of the Charge of one electron, F|m. e = - 1.60217662 × 10-19 C. Mass of one electron, m. = 9.10938356 × 10 - 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Given that, there is two current carrying wire. One is carrying /, = 8 mA current in the -1j direction and the other wire is carrying 12 = 6 mA current in the 1j direction. The seperation between the two parallel wires is d = 13 cm. If we consider a Length L = 85 m then what is the Magnitude of the Force acting on the wire segment. Use + sign for attractive force and - for repulsive. Force acting on the wire is? Give your answer up to at least three significance digits.
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C. Vacuum permitivity, éo = 8.854 x 10-1 F/m. Magnetic Permeability of vacuum to = 12.5663706144 x 10- H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-1 C. Mass of one electron, m. = 9.10938356 x 10-1 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb A charged particle with charge q = -77.0C is moving with velocity i = (-477) i + (-469) 3 + (286) k, m/s. The position vector of point p is F=(-14.0) i + (-4.0) + (6.0) k m. Caleulate the magnetic field at paint p. I component of the magnetic field at p Give your anower up to at least three agnticonce digits. Tesla y component ul the maynetic lield alp Cie you aw up to len the siyrilonligits Tesla z component of the magnetic field at p Give your answer up to at least threa agniticance digits. Tesla
Use the following constants if necessary. Coulomb constant, k=8.987×10^9N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnetic Permeability of vacuum, μ0=12.566370614356×10^−7H/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 . a) A charged particle with charge q=69.0C is moving with velocity v =(0)i^+(250)j^+(424)k^,m/s. The position vector of point p is r =(−13.0)i^+(−14.0)j^+(0)k^m. Calculate the magnetic field at point p. b) Say you have a straight wire of length r and current I is flowing through it. The direction of the current flow is along r^ and r =(0)i+(−8)j+(0)k. Length components have meters as unit. If the current on the wire is given by I=9mA and uniform magnetic field by B =(−4)i+(2)j+(−7)k Tesla then calculate the Force exerted on the wire due to this magnetic field. Find the Force F . c) What is the…
Use the following constants if necessary. Coulomb constant, k= 8.987 x 10° N. m? /C. Vacuum permitivity, = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, un = 12.566370614356 x 10-7 H/ 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, µC means micro coulomb. Say you have 3 charges a = 19, 2 = 36, = 21 located at (-8, -6), (10, 10) and (18, –17) respectively. Now, say you choose three random points on the ry plane denoted by p (–7, –3), 2 (-17, 17) and 2 (-7, 17). Note that, all charges are in nano coulombs. And all coordinates are in centimeters. Given this information, answer the following questions: PartI a) Calculate the relative position vector that points from a to p. x component of the vector Give your answer up to at least three significance digits. m y component of the vector Give your answer up to at least three…
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m2 /C2. Vacuum permitivity, €0 = 8.854 × 10-12 F/m. Magnetic Permeability of vacuum, µo = 12.566370614356 × 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-1º 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 The coordinate of the two charges q1 and q2 are given by (16, 36) and (12,31). These coordinates are in nano meters. x component of the position vector q1 Give your answer up to at least three significance digits. т component of the position vector q1 Give your answer up to at least three significance digits. m x component of the position vector q2 Give your answer up to at least three significance digits. т y component of the position vector q2 Give your answer up to at least three significance digits. т
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnetic Permeability of vacuum, Ho = 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 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb The dipole moment of a magnet is given by i = (-42) k A - m² which is in a magnetic field given by B = y²kT. Calculate the magnitude of the force due to this B field on the dipole at point P(14, 34, 39). Magnitude of the force Give your answer up to at least three significance digits. N