A line of charge lying along the x-axis starts at x=+x0 and extends to positive infinity. It has a nonuniform linear charge density λ=8λ0x0/x, where λ0 is a positive constant. The magnitude of the electric field at the origin O is
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A line of charge lying along the x-axis starts at x=+x0 and extends to positive infinity. It has a nonuniform linear charge density λ=8λ0x0/x, where λ0 is a positive constant. The magnitude of the electric field at the origin O is
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- An infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of -53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?A thin, square, conducting plate 47.0 cm on a side lies in the xy plane. A total charge of 3.50 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m2(b) Find the electric field just above the plate. magnitude N/C direction (c) Find the electric field just below the plate. magnitude N/C directionThe figure shows a closed Gaussian surface in the shape of a cube of edge length 2.50 m. It lies in a region where the electric field is | E = (1.60x + 3.08)î + 7.77 +5.70 kN/C, with x in meters. What is the net charge contained by the cube? Number i Units
- A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).An infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?Suppose, a charged disk of radius R=16m is lying on the xz plane as shown in the figure. The charge density of the disk is σ = 9nC/m2. The total charge of the disk is 7.234×10-6C. Point s is located along a line perpendicular to the disk and that goes through the center of the disk. Which is happened to be the y axis in this problem. The the Electric field at point s(0,10,0) is 238.98N/C. If we move point s to s′(0,12,0) then E(s′) is 203.2N/C a) Calculate the magnitude of torque and potential energy of a dipole at point s′. The dipole moment is given by p=(9x+8y)C.m
- The entire y axis is covered with a uniform linear charge density 4.9 nC/m. Determine the magnitude of the electric field on the x axis at x = 7.4 m.Figure (a) shows three plastic sheets that are large, parallel, and uniformly charged. Figure (b) gives the component of the net electric field along an x axis through the sheets. The scale of the vertical axis is set by E = 6.6 × 105 N/C. What is the ratio of the charge density on sheet 3 to that on sheet 2? Number i (a) E (105 N/C) Es Units 2 (b) 3 X xThe entire y axis is covered with a uniform linear charge density 2.2 nC/m. Determine the magnitude of the electric field on the x axis at x= 5.5 m.
- Five charged particles are equally spaced around a semicircle of radius 100 mm, with one particle at each end of the semicircle and the remaining three spaced equally between the two ends. The semicircle lies in the region x<0 of an xy plane, such that the complete circle is centered on the origin. If each particle carries a charge of 6.00 nC , what is the electric field at the origin? Where could you put a single particle carrying a charge of -5.00 nC to make the electric field magnitude zero at the origin?We have a nonconducting solid sphere of radius 3.4 cm carrying a uniformly distributed positive charge of 7.6 nC. a) What is the magnitude of the electric field at a point 1.6 cm from the center of the sphere? b) What is the magnitude of the electric field at a point 4.4 cm from the center of the sphere?The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.50 m. It lies in a region where the electric field is given by E = (1.60x +3.08)i +7.77 +5.70 kN/C, with x in meters. What is the net charge contained by the cube? Number i 1.2e-10 Units C x