Positive charge Q is placed on a conducting spherical shell with inner radius R₁ and outer radius R₂. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is: (q + Q) 4лεo (R²) 9 4πεor² Q 4лε R² Q 4лεо (R²-²) ○ (q + Q) 4лεor²

Positive charge Q is placed on a conducting spherical shell with inner radius R₁ and outer radius R₂. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is: (q + Q) 4лεo (R²) 9 4πεor² Q 4лε R² Q 4лεо (R²-²) ○ (q + Q) 4лεor²

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 57P: A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of...

See similar textbooks

Similar questions

A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
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
The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric field magnitude E is measured along the ring’s central axis (perpendicular to the plane of the ring). At what distance from the ring’s center is E maximum?
A ring shaped conductor with a radius 3.00 cm has a uniform charge density of -120.0 nC/m and it lies on a horizontal table top. Find the magnitude and direction of the electric field it produces at a point 4.50 cm directly above its center. (p = 8.85 x 10-12 c²/Nm2, k = 9.00 x 109 Nm²/C²) 3.07 x 105 N/C, vertically downward 3.07 x 105 N/C, vertically upward 5.33 x 105 N/C, vertically downward 1.00 x 105 N/C, vertically upward 5.79 x 104 N/C, vertically downward 5.79 x 104 N/C, vertically upward 5.33 x 105 N/C, vertically upward 1.00 x 105 N/C, vertically downward
A planet has an electric field pointing toward its centre and having an average magnitude of about 1.2 × 10^2 N/C at its surface. (a) What is the sign of the charge on the planet? (b) What is the charge on the planet, assuming that all the charge is concentrated at the centre? This assumption is valid for a spherically symmetric object with a surface charge. The radius of the planet is 3.24 × 10^6 m.
The figure is a section of a conducting rod of radius R₁ = 1.30 mm and length L = 13.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 10.1R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.42 × 10-¹2 C; that on the shell is Q₂ = -2.05Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.11R₂? What are (c) E and (d) the direction at r = 5.30R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?
A spherical Conductor of radius 0.330 m has a spherical cavity of radius 0.120m at its center. The conductor carries a total charge of -6.00 nC; in addition, at the center of the spherical cavity is a point charge of +4.00 nC. Find (a) the total charge on the surface of the cavity, (b) the total charge on the outer surface of the condutor, (c) the magnitude of the electric field just inside te surface of the cavity, and The answers were wrong on the previous attempts, the answers should be (a) +4.00 nC (b) -4.00 nC (c) 2.5*10^3 N/C I need to know how those answers are solved
A spherical Conductor of radius 0.330 m has a spherical cavity of radius 0.120m at its center. The conductor carries a total charge of -6.00 nC; in addition, at the center of the spherical cavity is a point charge of +4.00 nC. Find (a) the total charge on the surface of the cavity, (b) the total charge on the outer surface of the condutor, (c) the magnitude of the electric field just inside te surface of the cavity, and (d) the magnitude of the electric field just outside the outer surface of the conductor.
The figure is a section of a conducting rod of radius R₁ = 1.60 mm and length L = 11.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 10.1R₁ and the (same) length L. The net charge on the rod is Q₁ =+3.44 x 10-12 C; that on the shell is Q₂ = -2.28Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.01R₂? What are (c) E and (d) the direction at r = 5.16R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number i (b) IF (d) (c) Number i (e) Number IN R₂ Units Units Units Ri e Q2 > 4
A charge of 29 pC is distributed uniformly on a spherical surface ( r1=2 cm), and a second charge of -13.8 pC is distributed uniformly on a concentric thin spherical surface ( r2= 4 cm). Determine the magnitude of the electric field ( in units of N/C ) at a distance of 5 cm from the center of the two surfaces.