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3) A Gaussian sphere of radius r is centered at the origin. A point charge q...
For a charged solid metal sphere with total charge Q and radius R centered on the...
For a charged solid metal sphere with total charge Q and radius R centered on the origin: Select "True" or "False" for each statement. | If the solid sphere is an insulator (instead of metal) with net charge Q, the charges are wherever they were placed, and cannot move around. \/| The electric field near the metal surface on the outside is perpendicular to the surface. If the solid sphere is an insulator (instead of metal) with net charge Q,...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
A solid conducting sphere with radius R centered at the origin carries a net charge q....
A solid conducting sphere with radius R centered at the origin carries a net charge q. It is concentrically surrounded by a thick conducting shell with inner radius a and outer radius b. The net charge on the outer shell is zero. (a) What are the surface charge densities sigma at r = R, r = a, and r = b? b) What is the potential V of the inner sphere, assuming a reference point at infinity. Assume now the...
5. A uniformly charge solid sphere, of radius R and total charge Q, is centered at...
5. A uniformly charge solid sphere, of radius R and total charge Q, is centered at the origin and spinning at a constant angular velocity w about the 2-axis. Find the current density J at any point (r, 0,0) within the sphere.
A point charge q +3 HC is at the center of a sphere of radius 0.3...
A point charge q +3 HC is at the center of a sphere of radius 0.3 m. (a) Find the surface area of the sphere. (b) Find the magnitude of the electric field at points on the surface of the sphere. N/C (c) What is the flux of the electric field due to the point charge through the surface of the sphere? N m2/C (d) Would your answer to part (c) change if the point charge were moved so that...
Charge Q is spread uniformly throughout the volume of a sphere of radius R. The flux...
Charge Q is spread uniformly throughout the volume of a sphere of radius R. The flux through a spherical Gaussian surface of radius r < R (concentric with the sphere of charge) in equal to a) Q/element of_0 b) Qr/element of_0 R c) Qr^2/element of_0 R^2 d) Qr^3/element of_0 R^3
Tangent plane to a sphere: Consider the sphere of radius R centered on the origin in...
Tangent plane to a sphere: Consider the sphere of radius R centered on the origin in 3 dimensions. Now consider the point o = Doi+yoj + zok. Write the equations for any two (non-parallel) planes which pass through both the point to and the origin. Using these planes, write the equation for the tangent plane of the sphere at the point to. (Hint: think about how the tangent plane of a sphere must be perpendicular to a line connecting the...
4. a- A Gaussian sphere with radius 1.20 m encloses a point charge Q1 = 2.20×10–6...
4. a- A Gaussian sphere with radius 1.20 m encloses a point charge Q1 = 2.20×10–6 C at the spherical center. The electric flux through the spherical surface is measured to be 1. Now Q1 is removed, and another point charge Q2 = –8.80×10–6 C is placed at the spherical center. The electric flux through the spherical surface is then measured to be 2. What is 2/1? b- A Gaussian sphere with radius 1.20 m encloses a point charge Q1...
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius...
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius R. (Note: since the sphere is conducting all the charge is distributed on its surface.) a) By reflecting on the symmetry of the charge distribution of the system, determine what the E-field lines look like outside the sphere for any r > R. Describe the E-field in words and with a simple sketch. Make sure to also show the direction of the E-field lines....
(a) A point charge produces an electric flux of +455 Nm2/C through a Gaussian sphere of...
(a) A point charge produces an electric flux of +455 Nm2/C through a Gaussian sphere of radius 14.0 cm centered on the charge. i. Determine the sign and magnitude of the charge enclosed. Positive / Negative ii. ANS: What is the electric flux through a Gaussian sphere with a radius 26.5 cm centered on the same charge? (b) ANS: Two charges l_ = -4.0 uC and Q2 = +4.0 uC are located on the y-axis at Y1 = -5.0 cm...
For a charged solid metal sphere with total charge Q and radius R centered on the origin: Select "True" or "False" for each statement. | If the solid sphere is an insulator (instead of metal) with net charge Q, the charges are wherever they were placed, and cannot move around. \/| The electric field near the metal surface on the outside is perpendicular to the surface. If the solid sphere is an insulator (instead of metal) with net charge Q,...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
A solid conducting sphere with radius R centered at the origin carries a net charge q. It is concentrically surrounded by a thick conducting shell with inner radius a and outer radius b. The net charge on the outer shell is zero. (a) What are the surface charge densities sigma at r = R, r = a, and r = b? b) What is the potential V of the inner sphere, assuming a reference point at infinity. Assume now the...
5. A uniformly charge solid sphere, of radius R and total charge Q, is centered at the origin and spinning at a constant angular velocity w about the 2-axis. Find the current density J at any point (r, 0,0) within the sphere.
A point charge q +3 HC is at the center of a sphere of radius 0.3 m. (a) Find the surface area of the sphere. (b) Find the magnitude of the electric field at points on the surface of the sphere. N/C (c) What is the flux of the electric field due to the point charge through the surface of the sphere? N m2/C (d) Would your answer to part (c) change if the point charge were moved so that...
Charge Q is spread uniformly throughout the volume of a sphere of radius R. The flux through a spherical Gaussian surface of radius r < R (concentric with the sphere of charge) in equal to a) Q/element of_0 b) Qr/element of_0 R c) Qr^2/element of_0 R^2 d) Qr^3/element of_0 R^3
Tangent plane to a sphere: Consider the sphere of radius R centered on the origin in 3 dimensions. Now consider the point o = Doi+yoj + zok. Write the equations for any two (non-parallel) planes which pass through both the point to and the origin. Using these planes, write the equation for the tangent plane of the sphere at the point to. (Hint: think about how the tangent plane of a sphere must be perpendicular to a line connecting the...
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius R. (Note: since the sphere is conducting all the charge is distributed on its surface.) a) By reflecting on the symmetry of the charge distribution of the system, determine what the E-field lines look like outside the sphere for any r > R. Describe the E-field in words and with a simple sketch. Make sure to also show the direction of the E-field lines....
(a) A point charge produces an electric flux of +455 Nm2/C through a Gaussian sphere of radius 14.0 cm centered on the charge. i. Determine the sign and magnitude of the charge enclosed. Positive / Negative ii. ANS: What is the electric flux through a Gaussian sphere with a radius 26.5 cm centered on the same charge? (b) ANS: Two charges l_ = -4.0 uC and Q2 = +4.0 uC are located on the y-axis at Y1 = -5.0 cm...
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