The figure shows a ring of outer radius R = 10.0 cm, inner radius r = 0.180R, and uniform surface charge density o = 2.60 pC/m². With V = 0 at infinity, find the electric potential at point P on the central axis of the ring, at distance z = 2.8OR from the center of the ring. R Number i Units
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- Charge q1 = -6.5 nC is located at the coordinate system origin, while charge q2 = 0.79 nC is located at (a, 0), where a = 1.2 m. The point P has coordinates (a, b), where b = 0.35 m. A third charge q3 = -2.5 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? c. What is the total potential energy U, in joules, of the final configuration of three charges?A uniformly charged insulating rod of length 10.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of -7.00 μC. Find the electric potential at O, the center of the semicircle. MV Submit Answer 0A long cylindrical insulating shell has an inner radius of a=1.41 m and an outer radius of b=1.6 m. The shell has a constant charge density of 3.5×10−9 C/m3. The picture shows an end-on cross-section of the cylindrical shell. If we take the potential at the axis to be zero, what is the electric potential at the outer radius of the shell?
- dq A thin uniformly charged arc with radius R = 2 cm is shown in the figure below. The total charge of the arc is Q 81 µC. Point Ois the origin at the center of the arc. R Calculate the linear charge density 2. Write down an (a) expression for the infinitesimal charge dq. (b) Write down the potential dV at point O due to the infinitesimal charge dq.A plastic rod has been bent into a circle of radius R = 5.5 cm. It has a charge q1 = +4.2 pC uniformly distributed along three-quarter of its circumference and a charge q2 = -4q1 uniformly distributed along the rest of the circumference (see below). 92 R. Assuming V = 0 at infinity, what is the electric potential at point P, which is on the central axis of the circle at distance D = 6.5 cm from the center? Express your answer in volts, to at least one digit after the decimal point.A thin plastic rod of length d = 1.1 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform charge density of λ = 2.5 nC/m. The point P is located along the y-axis at (0,y = 25 cm). a) Calculate the electric potential at P, in volts.
- Imagine three concentric spherical conductive shells of radii 5 cm, 10 cm, and 15 cm charged with 4 µC, 11 µC, and -15 µC, respectively. What is the electric field at r=1.4 cm, r=12 cm, and r=21.8 cm? V/m, Enter an exact number. E1 = E2= V/m, E3= V/m. What are the electric potentials at these points? V1 = V, V2= V, V3= V.There is a non contuctive thin spherical shell with radius r=20 cm. It Carries a uniformly distributed + charge of q=1.5nC. The electric potential at point P, located at distance D=30cm from the sphere surface is equal to what? (The following have units V) a. 27 b. 45 c.54 d. 67 e. 150In the coordinate system shown in the figure, particle 1 with charge q1 = 4.5 μC is located at coordinates (x1,y1) = (-3, 0) m and particle 2 with charge q2 = -11 μC is located at coordinates (x2,y2) = (1, 0) m. a. 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. b. Solve for the numerical value of x0. c. Select the correct expression for the magnitude of electric field E0 at point (x0,0) in terms of q1, q2, x1, and x2. d. Solve for the numerical value of E0, in newtons per coulomb.
- 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 IncorrectConsider 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 JFor a spherical surface with radius 0.15 m and is charged by 29 nC, the electric Potential V at r = 0.39 m is (in V) Select one:a. 1740b. 1716c. 669d. 0e. 11600