A regular hexagon of side 10 cm has a charge 5 µC at each of its vertices. Calculate the potential at the centre of the hexagon. Answer The given figure shows six equal amount of charges, q, at the vertices of a regular hexagon. F + q D
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- A spherical conductor whose center is at point O and radius R = 20 cm, is given a charge Q = + 100 μC a. Calculate the electric potential at points A and B if the distance OA = 30 cm and the distance OB = 45 cm. b. How much work is required to move an electron from point A to point B?Consider two separate systems with four charges of the same magnitude q = 17 µC arranged in the vertexes of a square of length h = 20 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y q h q h A. B The potential at point A, VA = The potential at point B, VB = The potential at point C, Vc = = The potential at point D, VĎ : q q X Units V Units V Units V Units V Units J q Units J F h C c. Ꭰ How much work is required to move a -38 µC charge from point A to point B? The work required, Wä→ß = How much work is required to move a -38 µC charge from point C to point D? The work required, Wc→D = ✓✓. ✓✓. q -q O XConsider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y h h А. C. h В D b- The potential at point A, VA = 2320457.1x Units v The potential at point B, Vg = 2378380.8 Units V The potential at point C, Vc = 0 Units V The potential at point D, V, = -908380.8: Units v How much work is required to move a -12 µC charge from point A to point B? The work required, WAs =|-0.7349 X Units J How much work is required to move a -12 µC charge from point C to point D? The work required, Wc-o = 10.90 Units J
- A plastic disk of radius R = 72.2 cm is charged on one side with a uniform surface charge density 7.67 fC/m², and then three quadrants of the disk are removed. The remaining quadrant is shown in the figure. With V = 0 at infinity, what is the potential in volts due to the remaining quadrant at point P, which is on the central axis of the original disk at distance D = 0.429 cm from the original center? DA metal sphere with radius 1.10 cm is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb = 9.10 cm. Charge +q is put on the inner sphere and charge −q on the outer spherical shell. The magnitude of q is chosen to make the potential difference between the spheres 400 V, with the inner sphere at higher potential. Calculate q. Express your answer in coulombs. q=__CWhat is the excess charge on a conducting sphere of radius r = 0.20 m if the potential of the sphere is 1900 V and V = 0 at infinity? Number Units Use correct number of significant digits; the tolerance is +/-2%
- If the potential Vof an array of charges versus the distance from the charges is as shown in graph 1, which graph shows the electric field E as a function of distance r? V E (1) (2) (3) E E (4) (5) (6) O 3 O 4 2.E7BP6In the region shown in the image, there is a uniform electric field of magnitude 34.9 N/C which points in the negative x-direction. Points 2, 3, and 4 are all 0.245 m away from point 1, and the angle = 46.4°. Calculate the following potential differences V-V, where i and indicate the numbered points. V₂ - V₁ = V₁ - V₁ = V₁ - V₁ = V₁ - V₁ = V -02 X