A line of charge runs parallel to a sheet of charge, separated by a distance d = 28 cm. If the charge density of the line of charge is A = 15 x 10-6 c/m and the charge density of the sheet of charge is o = 12 x 10-6 c/m², find the magnitude of the electric field at the midpoint between them. x 106 N/C E =
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- The figure below shows three charged spheres arranged along the y axis. (Assume 91 = 75.0 cm 22.0 cm 91 –4.80 μC 92 X (a) What is the electric field at x = N/C = 0, y = 3.50 m? (b) What is the electric field at x = 3.50 m, y = 0? Z N/C 2.70 μC and 92 = 4.15 μC. Express your answers in vector form.)NCS-1 A non-conducting sphere of radius R=0.300m has a total charge q-100μC that is evenly distributed throughout its volume. a) Find the charge within a radius of r=0.100m. Hint: first find the volume charge density p. b) Find the electric field strength at r=0.100m. c) Find the charge within a radius of r-0.200m. d) Find the electric field strength at r-0.200m. e) Find the charge within a radius of 1-0.300m. f) Find the electric field strength at r-0.300m. g) How does E change with increasing radius? RA 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 direction
- Two charged concentric spherical shells have radii 8.19 cm and 13.2 cm. The charge on the inner shell is 5.13 × 10- 8 C and that on the outer shell is 2.83 x 10- 8 C. Find the electric field (a) at r = 10.3 cm and (b) at r = 26.4 cm. (a) Number Units (b) Number UnitsThe figure shows a section of a long, thin-walled metal tube of radius R = 4.45 cm, with a charge per unit length λ =4.55 x 108 C/m. What is the magnitude E of the electric field at radial distance (a) r-1.72 cm and (b) r= 12.0 cm. (a) Number (b) Number i Units Units(a) What magnitude point charge (in C) creates a 10,000 N/C electric field at a distance of 0.220 m? (b) How large (in N/C) is the field at 10.0 m?
- A finite line of charge with linear charge density ?=2.00×10−6 C/m and length L=0.742 m is located along the ?x‑axis (from x=0 to ?=?). A point charge of ?=−6.88×10−7 C is located at the point m,x0=1.00 m, y0=4.00 m. Find the electric field (magnitude and direction as measured from the +x‑axis) at the point P, which is located along the ?x‑axis at ?P=10.10 m. The Coulomb force constant is ?=1/(4?/?0)=8.99×109 (N⋅m2)/C2.Consider a cylindrically symmetric distribution of charge. It consists of a tube of charge of radius 0.6 m with a linear charge density of 284.8 x 10-12 C/m that is surrounded by a second tube of charge of radius 4.1 m with linear charge density -188.5 x 10-12 C/m. Calculate the magnitude of the electric field, in N/C, 1.7 m away from the axis of the distribution. Use ?0ε0 = 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)A test charge of 13 μC is at a point P where the electric field due to other charges is directed to the right and has a magnitude of 4 x 106 N/C. If the test charge is replaced with a charge of -3 μC, the electric field at P is
- Two charged concentric spherical shells have radii 7.64 cm and 17.7 cm. The charge on the inner shell is 3.73 × 10-8 C and that on the outer shell is 1.63 x 10-8 C. Find the electric field (a) at r = 13.0 cm and (b) at r = 34.7 cm. (a) Number i (b) Number i Units UnitsCharge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 3.00×10-2 m. The charge density is 4.00×10-2 C/ m3. a)What is the electric field at r = 1.50×10-2 m? b)What is the electric field at r = 6.00×10-2 m?