If -41 = 2 = 87 nC then, Find the Electric dipole moment. x component of the dipole moment Give your answer up to at least three significance digits. С -т y component of the dipole moment Give your answer up to at least three significance digits. C .m
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- 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 x 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 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 . dz wire 1 wire 2 de K.- l, -- K.- l2- A current carrying wire(wire-1) with in = 14 Amperes is placed at the origin on the Y-Z plane. Another current carrying wirelwire-2) with iz = 14 Amperes is placed i= 10 m distance apart on the Y-axis. The point P, is 4 = 8m from the wire-1. P (0, 8, -9), P2 (0,8, 0) and the point pP, (0,8, 8) dre on the same line. The direction of the current is given in the figure.Use the following constants if necessary. Coulomb constant, k= 8.987 x 10° N. m² /C. Vacuum permitivity, e = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho = 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, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . K2 K3 A/2 A/2 Say you have given the above schematic diagram of internal layout of a capacitor. Here, the dielectric constants are = 27, K2 = 14, Ka = 43. The plate area of the capacitor is A = 24 cm? and plate seperation is 22 mm. a) Identify series and parallel connections and find the equivalent capacitance of the capacitor. equivalent capacitance Give your answer up to at least three significance digits. F b) We want to replace three materials with just one material such that the equivalent capacitance remains the same. Find the numerical value of dielectric constant of…
- Use the following constants if necessary. Coulomb constant, k= 8.987 x 10° N. m?/C. Vacuum permitivity, q = 8.854 x 10-12 F/ m. Magnetic Permeability of vacuum, 49 = 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, 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 g= -–81.0 Cis moving with velocity v = (0) i + (499) + (159) k, m/s. The position vector of point pis 7= (6.0) i+ (0) + (8.0) m. Calculate the magnetic field at point p. z component of the magnetic field at p Give your answer up to at least three significance digits. Tesla y component of the magnetic field at p Give your answer up to at least three significance digits. Tesla z component of the magnetic field at p Give your answer up to at least three significance digits. TeslaUse 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 x 10° N. m?/C. Vacuum permitivity, q = 8.854 x 10-12 F/ m. Magnetic Permeability of vacuum, 49 = 12.566370614356 x 10-7 Hm. 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. Given that, there is two current carrying wire. One is carrying = 9 mA current in the -1j direction and the other wire is also carrying h = 10 mA current in the -1 direction. The seperation between the two parallel wires is d= 14 cm. If we consider a Length L= 79 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. TeslaUse the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, uo = 12.566370614356 × 10-" H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, me = 9.10938356 × 10¬31 otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. kg. Unless specified 47, q2 = 23, q3 = 39 located at (-7,5), (–4, –10) and (4, –8) respectively. Now, say you Say you have 3 charges q1 = choose three random points on the xy plane denoted by p1 (–15, 4), p2 (–14, – 16) and p2 (–15, –16). 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 q3 to p1. 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…Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C2. Vacuum permitivity, eo = 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 × 10-19 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 You have an infinite wire with linear charge density A = 8 C/m. The wire is placed along z-axis. Find the magnitude of Electric Field at a distance 13 cm perpendicular away from the wire. Magnitude of Electric Field Give your answer up to at least three significance digits. N/C
- 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? ActivateUse 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. NUse the following constants if necessary. Coulomb constant, k = 8.987 × 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 × 10–19 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 Given the charges of a dipole as +q and -q where q = 47nC. Find the electric dipole moment if the coordinates of +q and -q charges are (25, 45) and (-15,45) respectively.Find the magnitude of the dipole moment. These coordinates are in nm. Magnitude of the dipole moment Give your answer up to at least three significance digits. C. m