P2 1. (a) (i) 12 P1 Giü There are two vector field A and B such that V. A = 0 and (iii) V x B = 0, which one of these fields cannot represent an R electric field in electrostatics and why? Using cylindrical polar coordinates find the surface area of a sphere of radius R. Q (iv) Fig. 1 (b) Find the electric field produced by a uniformly charged non- conducting sphere of radius R and total charge Q at points P1 and P2 which are at distance ri and r2 from the center of the sphere. (Please see fig. 1)

P2 1. (a) (i) 12 P1 Giü There are two vector field A and B such that V. A = 0 and (iii) V x B = 0, which one of these fields cannot represent an R electric field in electrostatics and why? Using cylindrical polar coordinates find the surface area of a sphere of radius R. Q (iv) Fig. 1 (b) Find the electric field produced by a uniformly charged non- conducting sphere of radius R and total charge Q at points P1 and P2 which are at distance ri and r2 from the center of the sphere. (Please see fig. 1)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter15: Electric Forces And Fields

Section: Chapter Questions

Problem 24P: (a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in...

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The electric field at a point on the perpendicular bisector of a charged rod was calculated as the first example of a continuous charge distribution, resulting in Equation 24.15:E=kQy12+y2j a. Find an expression for the electric field when the rod is infinitely long. b. An infinitely long rod with uniform linear charge density also contains an infinite amount of charge. Explain why this still produces an electric field near the rod that is finite.
(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)
(a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in Figure P13.13. (b) How would the electric field at that point be affected if the charge there were doubled? Would the magnitude of the electric force be affected?
(a) Using the symmetry of the arrangement, determine the direction of the electric field at the center of the square in Figure 18.53, given that qa= 1.00C and qc=qd= +1.00 C. (b) Calculate the magnitude of the electric field at the location of q, given that the square is 5.00 cm on a side.
A uniformly charged rod of length L and total charge Q lies along the x axis as shown in Figure P23.6. (a) Find the components of the electric field at the point P on the y axis a distance d from the origin. (b) What are the approximate values of the field components when d L? Explain why you would expect these results. Figure P23.6
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Three charged particles are aligned along the x axis as shown in Figure P22.35. Find the electric field at (a) the position (2.00 m, 0) and (b) the position (0, 2.00 m). Figure P22.35
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(a) What is the electric field 5.00 m from the center of the terminal of a Van de Graaff with a 3.00 mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a 2.00 C charge on the Van de Graaff’s belt?
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