A charge Q is uniformly distributed over a long rod AB of length L. Evaluate the electric field at the point P Determine the electric potential at the point P.
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A charge Q is uniformly distributed over a long rod AB of length L.
- Evaluate the electric field at the point P
- Determine the electric potential at the point P.
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- A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system. The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R₂=2R₁ from the center of the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point? 10A region of space contains an electric potential given by V(x,y,z) = 4x2y – 2z + 5x3yz2. Determine the componentsand the magnitude of the electric field at the point (1, 5, 0).A sphere of radius R=60 cm has its center at the origin. Along the equator of this sphere, equal charges of q=3 μµC are placed at intervals of 60°. Find the electric potential at the origin of coordinates. a) 250 kV b) 260 kV c) 270 kV d) 280 kV e) 290 kV
- 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 a uniformly charged solid sphere of radius R carrying total charge Q. Q V(R) = ATREO Derive an expression for the electric potential V(R) on the surface of the sphere? Enter your expression in terms of given quantities, the permittivity of free space €0, and rational and exact irrational numbers. Assume that the zero reference point for the potential is at the center of the sphere Incorrect(A) Find an expression for the electric potential at a point P located on the perpendicular central axis of a uniformly charged ring of radius a and total charge Q. (B) Find an expression for the magnitude of the electric field at point P.
- Consider 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 JFour charges of equal magnitude q = 1.89 µC are situated as shown in the diagram below. If d = 0.98 m, find the electric potential at location A due to the four charges.A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the potential difference from the sphere’s surface to its center.
- Charge q1 = -8.5 nC is located at the coordinate system origin, while charge q2 = -5.56 nC is located at (a, 0), where a = 1.1 m. The point P has coordinates (a, b), where b = 0.45 m. A third charge q3 = 18.5 nC will be placed later. a) Find the electric potential VP at point P, in volts. Assume the potential is zero at infinity. b) How much work W, in joules, would you have to do to bring the third charge, q3, from very far away to the point P?A rod of length L = 4.00 m with uniform charge of 9.50 nC/m is oriented along the y axis as shown in the diagram. P, (a) What is the electric potential at the location P1 whose coordinates are (0, -6.00 m)? V (b) What is the electric potential at the location P2 whose coordinates are (6.00 m, 2.00 m)?A charge of uniform density (20 nC/m) is distributed along the x axis from the origin to the point x = 16.1 m. What is the electric potential (relative to zero at infinity) at a point, x = 83.2 m, on the x axis?