Two charges Q are placed at (z, y) = (L,0) and (-L, 0) respectively. Show that the potential on the y-axis is given by V(9) - V 2ne/L² (You may assume that the potential has been chosen to be zero at infinity). Post
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- Consider two point-particles located as shown in the figure. Particle 1 has charge q1 = 6.5 μC and is located at coordinates (x1,y1) = (-3, 0) m and particle 2 has charge q2 = -8.5 μC and is located at coordinates (x2,y2) = (1, 0) m. If you assume the potential vanishes at infinity, the potential will be zero at some point (x0,0) with -3 m < x0 < 1 m. Write an expression for x0 in terms of q1, q2, x1, and x2.We have the following configuration of point charges q1= 1 uC, located at (0, 1 cm) and q2= -1 HC, located at (0, 0): P 92 If a third particle of charge q3= 7 uÇ is added, which is placed from infinity a to point P (1 cm, 0 cm). Find the potential energy difference necessary to add the third particle. a) AU = 1.8426 J b) AU = -10.7397 J c) AU = -1.8426 J d) AU = 10.7397 JTwo very large thin spherical shells of radii a = 16.8m and b= 23.1m carry uniform charges Q and -Q as shown in the figure below. If the electric field between the shells is where Q = 3.29µC. Determine the potential difference between the shells, V(b) – V(a). Express your answer in units of Volts using one decimal place. Take the value of the Coulomb's constant as k = 9z10° N. m/C. a
- Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.A 5.00 µC piont charge is held in place at the orgin of a coordinate system. Another point charge is intially at the coordinates(0.5,0.7) m. if the 8.00 µC is moved to the coordinates (0.8,0.7)m, through what electric potential difference did it move? A third point charge of -3.00 µC is now placed at the coordinates (0.3,-0.6) m and then moved to (-0.4,-0.5)m. Through what potential differences did it move assuming the 2 other charges are held in their respective positions?Given two particles with Q = 2.30-µC charges as shown in the figure below and a particle with charge q = 1.24 ✕ 10−18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = ∞.) Three positively charged particles lie along the x-axis of the x y coordinate plane. Charge q is at the origin. Charge Q is at (0.800 m, 0). Another charge Q is at (−0.800 m, 0). (a) What is the net force (in N) exerted by the two 2.30-µC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 2.30-µC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.30-µC particles? kV (d) What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.30-µC particles?
- A z-directional point dipole with moment P0 = 4πε0 is placed at the origin in empty space. As you know, the potential and electric field of this dipole are expressed in these formulas in spherical coordinates.Calculate the work to be done against the external electric field in order to move a point charge of Q = 1 Coulomb under the electric field effect created by the dipole from (3,9,0) to (0,0, -3).Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.
- Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.