21. A particle with charge Q is located a small dis- 8 immediately tance above the center of the flat face of a hemi- R sphere of radius R as shown in Figure P24.21. What is the electric flux (a) through the curved surface and (b) through the flat face as 8→ 0? Figure P24.21

21. A particle with charge Q is located a small dis- 8 immediately tance above the center of the flat face of a hemi- R sphere of radius R as shown in Figure P24.21. What is the electric flux (a) through the curved surface and (b) through the flat face as 8→ 0? Figure P24.21

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Continuous Charge Distributions And Gauss's Law

Section: Chapter Questions

Problem 17P: (a) Find the net electric flux through the cube shown in Figure P23.17. (b) Can you use Gausss law...

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Figure P25.33 shows a very long, thick rod with radius R, uniformly charged throughout. Find an expression for the electric Field inside the rod (r R). Use Equation 25.13, E=120=1rr to check your solution at the surface, where r = R. Figure P25.33
A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61
Find the electric flux through the plane surface shown in Figure P23.37 if = 60.0, E = 350 N/C, and d = 5.00 cm. The electric field is uniform over the entire area of the surface. Figure P23.37
What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet carrying a charge density of 98.0 nC/m2?
(a) Find the net electric flux through the cube shown in Figure P23.17. (b) Can you use Gausss law to find the electric field on the surface of this cube? Explain. Figure P23.17
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P24.56. The sheet on the left has a uniform sur- face charge density σ, and the one on the right has a uniform charge density -σ. Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the Figure P24.56 two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value σ.
A flat square sheet of thin aluminum foil, 40 cm on a side, carries a uniformly distributed 355 nC charge. What, approximately, is the electric field 1.0 cm above the center of the sheet? Express your answer using two significant figures. E1=______ N/C
A uniformly charged disk sit in the yz-plane with its center at the origin. It has radius 2.5 cm and carries a total charge of 4.0 x 10 -12 C. What is the magnitude of the electricfield on the x-axis of the disk at the disk at distance x = 0.2 cm?What is the direction of the eletric field on the axis of the disk at x = 0.2 cm? (to the center or from the center)Is the magnitude of the electric field at x= 0.2 cm larger or smaller thant the electric field at 0.2 cm from an infinite sheet of charge with the same charge per unit area as the disk?What is the percent difference between the electric field produced by the finite disk and by an infinite sheet with the same charge per unit area at x = 0.4 cm?
An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the -field at surface of the sphere? (Example: If your answer is 3.4x106N/C, enter 3.4 in the answer box).
An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the E-field at surface of the sphere?
The electric field at 2 cm from the center of long copper rod of radius 1 cm has a magnitude 3 N/C and directed outward from the axis of the rod. (a) How much charge per unit length exists on the copper rod? (b) Whatwould be the electric flux through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?
As shown in Figure, a particle of charge +Q produces an electric field of magnitude Epart at point P, atdistance R from the particle. As in figure b, that same amount of charge is spread uniformly along a circulararc that has radius R and subtends an angle ?. The charge on the arc produces an electric field of magnitudeEarc at its center of curvature P. For what value of ? does Earc = 0.50 Epart ?