A spherical surface completely surrounds a collection of charges. Find the electric flux (with its sign) through the surface if the collection consists of (a) a single +6.40 × 10-6 C charge, (b) a single -3.30 × 10-6 C charge, and (c) both of the charges in (a) and (b).
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A spherical surface completely surrounds a collection of charges. Find the electric flux (with its sign) through the surface if the collection consists of (a) a single +6.40 × 10-6 C charge, (b) a single -3.30 × 10-6 C charge, and (c) both of the charges in (a) and (b).
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- help asap (not in scientific notation)Three charges are placed at the corners of a square of side 40 cm with 1.0 μC at (0.00 m, 0.00 m), 1.0 μC at (0.00 m, 0.40 m) , and - 1.0 μC at (0.40 m, 0.00 m). Find the direction of the electric field at the fourth corner (0.40 m, 0.40 m) in degrees counter-clockwise from the +x-direction.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.
- 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 R₁Two charges are located in the x-y plane. If q1 -3.50 nC and is located at (x = 0.00 m, y = 0.960 m), and the second charge has magnitude of q2 = 4.80 nC and is located at (x = 1.40 m, y 0.650 m), calculate the x and y components, Ex and Ey, of the electric field, É, in component form at the origin, (0, 0). The Coulomb force constant is 1/ (4reo) = 8.99 x 10° N · m²/C². -13.58 -40.45 Ex N/C Ey N/C Incorrect Incorrect IIy 0| X The positive charge Q is evenly distributed on the y-axis between y = 0 and y = a. Find the y- component of the electric field vector at a distance x from the origin on the positive x-axis.
- 18. 6.0 m and total charge Q = 120 µC distributed uniformly along the length 8. Figure 5 shows a thin rod of length L of the rod. By direct integration, find the magnitude of the electric field at the point P in the figure. (s) Integral Figure 5 Call on X-axis no pat L/3 2 m 120ML. L L/2 3n aFour 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.A very large conducting plate lying in the xy plane carries a charge per unit area of 90. A second such plate located at z = 5.00 cm and oriented parallel to the xy plane carries a charge per unit area of -70. Find the electric field for the following. (Take upward to be in the positive z-direction.) (a) z 5.00 cm 10/80