The electric dipole is placed in a non-uniform electric field given by E=-Axi - Byj, where A=7.8 and B= 7.0. Find the magnitude of the torque acting on the electric dipole in units of
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A small rod of length 1.0 cm is placed along the x-axis and has a linear charge density given by λ=αx, where α=3.0 C/cm^2 and x is measured from the center of the rod.
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- Electric charge is distributed over the disk a2 + y < 20 so that the charge density at (x,y) is o(x, y) = 5 + x² + y² coulombs per square meter. Find the total charge on the disk.The figure is a section of a conducting rod of radius R₁ = 1.30 mm and length L = 13.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 10.1R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.42 × 10-¹2 C; that on the shell is Q₂ = -2.05Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.11R₂? What are (c) E and (d) the direction at r = 5.30R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.90 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.0R₁ and the (same) length L. The net charge on the rod is Q₁ +3.68 x 10-12 C; that on the shell is Q₂ = -2.30Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.30R₂? What are (c) E and (d) the direction at r = 5.20R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number Units
- A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C. What is the force on an electron located midway in the space between the shell and the solid sphere?Three charges are placed along the x-axis: q1 = 3.00 µC at X1 = -20.0 cm, q2 = -5.00 µC at x2 = 10.0 cm, and q3 = 6.00 µC at x3 = 25.00 cm. Determine the magnitude of the electric field at the origin. O 4 69x106 N/C O 2 96x106 N/C O 6 04x106 N/C O 4.31x106 N/CThe surface charge density (eta) h of an infinite charged plane is -2.0 x 10-6 C/m2. A proton is shot straight away from the plane at 2.0 x 106 m/s. Make a sketch of the situation. How far does the proton travel before reaching its turning point?
- The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁2 narrow, flat metal plates are positioned vertically, 20.00 cm. The first plate has a positive charge with charge density σ=+630.0 mC/m2 and a second plate has an equal but opposite negative charge with charge density σ=-6300.0 mC/m2 . There are also two narrow, flat metal plates positioned horizontally, 30.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 5.00 V higher than the top plate. A small sphere with a mass of m =64.35 g, and a charge of q =22.00 mC is attached to a narrow, stiff, massless, insulating rod with a length of L= 8.00 cm, which is pivoted at point O, which is 2.000 cm from the second plate. The sphere/rod unit is angled at 5 degrees with horizontal and released from rest. Will the sphere/rod ever hit an angle of 0 degrees with the horizontal? If so, how long will it take to reach that point?The electric field in an xy plane produced by a positively charged particle is 6.20(6.61 + 6.3) N/C at the point (4.1, 4.6) cm and 123 N/C at the point (3.8, 0) cm. What are the (a) x and (b) y coordinates of the particle? (c) What is the charge of the particle? (a) Number i Units
- A hydrogen atom is made up of a proton of charge +Q = 1.6x10-19C and an eledron of charge -Q = 1.6x10-19C. The proton may be regarded as a point charge at r = 0 the center of the atom. The motion of the eledtron causes its charge to be "smeared ouť into a spherical distribution around the proton, so that the electron is equivalentto a charge per unitvolume of (7) =-(Q/ra?)e"lao, where a, = 5.29x10-11 m is called the Bohr radius. (a) Find the total amount of the hydrogen atom's charge that is endosed within a sphere with radius centered on the proton. (b) Find the eledricfield (magnitude and diredion) caused by the charge of the hydrogen atom as a fundtion of (c) Make a graph as a function of rof the ratio of the eledtricfield magnitude to the magnitude of the field due to the proton alone Set up: 1. 1. The charge distribution in this task is spherically symmetric, so you can solve it using Gauss's law. 2. The charge within a sphere of radius r indudes the proton charge Qplus the…A conducting sphere of radius r1 = 0.46 m has a total charge of Q = 2.9 μC. A second uncharged conducting sphere of radius r2 = 0.23 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. r1 = 0.46 mr2 = 0.23 mQ = 2.9 μC What is the total charge on sphere two, Q2 in coulombs?Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.8 nC/m² everywhere on its surface. Cylinder (b) carries charge with uniform density 15.8 nC/m² on its curved lateral surface only. Cylinder (c) carries charge with uniform density 525 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.