A total electric charge of Q is injected into a solid conducting sphere of radius R. At the instance of injection, the charge is uniformly distributed throughout the sphere. Assuming that the sphere is in vacuum, develop an expression for the electric potential inside the sphere at a much later point in time, as a function of distance r away from the centre of the sphere

Consider a ring of charge in the x-y plane of radius 2.7 m, centered at the origin.  The charge per angle around the ring is given by dQ/dα = a (1 - cos α)  (nC/rad), where a = 8.4 nC/rad.  Calculate the electric potential along the z axis at z = 5.8 m, in V.  Use k = 9 x 109 N m2 / C2. (Please answer to the fourth decimal place - i.e 14.3225)

A long coaxial cable carries a positive uniform volume charge density, ρ, on theinner cylinder (radius a), and a negative uniform surface charge density, σ, of thecylindrical shell (radius b). The surface charge has a magnitude so that the cable asa whole is electrically neutral.                                                                                                                                                                                                    find the electric potential V atthe center of the coaxial cable, using s = infinity as a reference point

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 X

Consider 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 charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity.  V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =

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 J

SSD_W06_04 0/3 points (graded) R. +Q B R. The figure above shows a solid insulating sphere of radius R2 with charge -Q (Q > 0) distributed uniformly throughout the volume. This sphere is centered within a thin spherical shell of radius R1; a charge +Q is distributed uniformly on the surface of the spherical shell. Very far away from the sphere and the spherical shell, the electric potential is zero. Use k for Coulomb's constant. At point A on the surface of the spherical shell, what is the electric potential VA? VA = Point B is on the surface of the sphere. What is the potential difference, VB – VẠ? VB - VA = Point C is at the center of the sphere. What is the potential difference, Vo - VB? Ve - VB =

An electron moving parallel to the x axis has an initial speed of 3.40 x 106 m/s at the origin. Its speed is reduced to 1.98 x 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. Volts (b) which point is at the higher potential? O the point x = 2.00 cm ● the origin O both have the same potential

Throughout this problem, consider a charge configuration consisting of a proton fixed in place at position (x,y) = (-1nm, -1nm) and an electron fixed in place at point (x,y) = (1nm, 1nm). Draw the configuration of charges described above, and without calculation, sketch an estimate of what you believe the graph of electric potential V (x) looks like as a function along the x-axis from x = -10nm to x= 10nm. NOTE: it is helpful to draw two diagrams. One representing the location of charges in physical (x,y) space, and the other representing the function of the potential V(x), that you create by estimating the electric potential at various locations along the x-axis.