44 Figure 23-52 gives the magni-tude of the electric field inside andoutside a sphere with a positive chargedistributed uniformly throughout itsvolume. The scale of the vertical axis isset by E, = 5.0 x 107 N/C. What is thecharge on the sphere?r (cm)Figure 23-52 Problem 44.E (10 N/C)

Electric field at the surface of the solid sphere is maximum & from the graph, maximum value of…

Answered: 44 Figure 23-52 gives the magni- tude…

College Physics

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Publisher:Raymond A. Serway, Chris Vuille

Chapter15: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 49P: Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric...

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Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge of -2.00 nC is at the center of the sphere. If a = 2.00 m and b = 2.40 m. find the electric field at (a) r = 1.50 m, (b) r = 2.20 m, and (c) r = 2.50 m. (d) What is the charge distribution on the sphere?
Example 23.3 derives the exact expression for the electric field at a point on the axis of a uniformly charged disk. Consider a disk of radius R = 3.00 cm having a uniformly distributed charge of +5.20 C. (a) Using the result of Example 23.3, compute the electric field at a point on the axis and 3.00 mm from the center. (b) What If? Explain how the answer to part (a) compares with the field computed from the near-field approximation E = /20. (We derived this expression in Example 23.3.) (c) Using the result of Example 23.3, compute the electric field at a point on the axis and 30.0 cm from the center of the disk. (d) What If? Explain how the answer to part (c) compares with the electric field obtained by treating the disk as a +5.20-C charged particle at a distance of 30.0 cm.
Two large rectangular aluminum plates of area 150 cm2 face each other with a separation of 3 mm between them. The plates are charged with equal amount of opposite charges, 20C . The charges on the plates face each other. Find the flux through a circle of radius 3 cm between the plates when the normal to the circle makes an angle of 5o with a line perpendicular to the plates. Note that this angle can also be given as 180o + 5o.
An aluminum spherical ball of radius 4 cm is charged with 5C of charge. A copper spherical shell of inner radius 6 cm and outer radius 8 cm surrounds it. A total charge of 8C is put on the copper shell. (a) Find the electric field at all points in space, including points inside the aluminum and copper shell when copper shell and aluminum sphere are concentric. (b) Find the electric field at all points in space, including points inside the aluminum and copper shell when the centers of copper shell and aluminum sphere are 1 cm apart.
A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 10-3 C/m2. Calculate the electric field on the axis of the disk at (a) 5.00 cm, (b) 10.0 cm, (c) 50.0 cm, and (d) 200 cm from the center of the disk.
ne 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 rod? (b) What would be the electric flux through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?
Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49
Equation 23-11 (E = s/´0) gives the electric field at points near a charged conducting surface. Apply this equation to a conducting sphere of radius r and charge q, and show that the electric field outside the sphere is the same as the field of a charged particle located at the center of the sphere.
A line of positive charge is formed into a semicircle of radius R = 57.0 cm as shown in the figure. The charge per unit length along the semicircle is described by the expression λ = λ0 sinθ, λ0 = 14.0 μC/m. Calculate the electric field at the center of curvature. (Here, θ = 0 on the y-axis, increasing clockwise (CW)).
1.13. Inside a sphere of radius R charged with constant volume density p, there is a spherical cavity of radius r, in which there are no charges. The center of the cavity is displaced relative to the center of the sphere by a distance a (a + r <R). Find the strength of the electric field inside the cavity

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44 Figure 23-52 gives the magni- tude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by E, = 5.0 x 107 N/C. What is the charge on the sphere? r (cm) Figure 23-52 Problem 44. E (10 N/C)