The figure shows two concentric rings, of radii R and R' = 3.53R, that lie on the same plane. Point P lies on the central z axis, at distance D = 2.18R from the center of the rings. The smaller ring has uniformly distributed charge Q = 5.31 × 106 C. What is th uniformly distributed charge on the larger ring if the net electric field at P is zero? P Number i Units

A positively charged line with linear charge density λ is pictured along the x-axis with length L. Starting with the differential form of Coulomb’s Law () derive an equation for the electric field at point P at (x=a, y=0) k, a, L, and λ.

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O 3 0 1 Determine the length element, dL = Determine the charge element, dQ Determine the distance, s = Determine the so-called, cos(a) = Determine the integrand, J Determine the lower bound of the integral: 11 Determine the upper bound of the integral: Determine the final result of the integration: NOTE: • Please use k in your answers. Please do not use &o.

CONFIGURATION 4 Now we want to look at a charge distribution. You have a total charge of +6.00 nC spread along a line (with a uniform charge density). This charge is spread over 0.5 m in length. Calculate he electric field at a position P, which is 1.5 m away from the closest end of the line of charge (see the image below). Total Q = + 6.00 nC Pt. P 0.5 m 1.5 m figure 1 d Electric Field - Configuration 4 Predicted Electric Field at Point P

A point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 . To what vertical elevation will q rise above the sheet of charge? Neglect gravity.       a. 6.0 cm   b. 8.0 cm   c. 5.0 cm   d. 4.0 cm   e. 7.0 cm

Thin glass rod y Thin plastic disk In the figure shown above, a thin plastic disk of radius 0.6 m is uniformly charged with Qdisk = -3 × 10-7 C and is attached to a thin glass rod of length 2.4 m that is uniformly charged with Qrod = 5 x 10-8 C. The center of the rod and the center of disk are at the origin. The rod lies along the x axis and the disk lies in the yz plane. What is the (vector) electric field at location (0.02, 0.01, 0)m? value of €0 the Given that 8.85 x 10-12 C2/N.m². 1. (52400, -14900, 0) N/C 2. (37500, -52400,0)N/C 3. (-22600, 14900, 0) N/C 4. (-37500, 14900, 0)N/C 5. (-22600, -37500, 0)N/C 6. (-52400, 37500, 0) N/C 7. (37500, -14900, 0) N/C 8. (-14900, -22600, 0)N/C 9. (14900, -37500, 0) N/C 10. (-14900, 37500, 0) N/C

1 2 3 A В E The figure above shows four very thin parallel planes of charge with equal separation between them. The charge density on plate 1 is 2 nC/m2. The charge density on plate 2 is -5 nC/m2. The charge density on plate 3 is 4 nC/m2. The charge density on plate 4 is 3 nC/m2. Your answers for the electric field must include the correct sign. We choose positive electric field along the positive x-direction. What is the Electric Field at point D? (in units of N/C) N/C Submit Answer Tries 0/2

Determine the magnitude of the electric field at any point P a distance x from a very long line (a wire, say) of uniformly distributed charge. Assume x is much smaller than the length of the wire L, and let A be the charge per unit length (C/m). Z

A rod of length l = 5 m, is uniformly charged and has a total charge of 46 nC. What is the magnitude of the electric field (in N/C) at the point 'P' which lies along the axis of the rod and is 4.8 m from the center of the rod? E P