If the potential of a zero thickness spherical shell depends only on the `` polar angle...
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If the potential of a zero thickness spherical shell depends
only on the `` polar angle...
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of...
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of:...
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of: V(R, 0) = V.(1 + 2cose - cos20) (a.) Find the potential inside and outside the sphere. (b.) Find the surface charge density on the sphere. (c.) Find the dipole moment and the dipole term of the electric field, Epip.
2. Potential Inside a Sphere We are interested in the electric potential inside a spherical shell...
2. Potential Inside a Sphere We are interested in the electric potential inside a spherical shell that is radius a and centered on the origin. There are no charges inside the she, so the potential satisfies the Laplace equation, However, there is an external voltage applied to the surface of the shell which holds the potential on the surface to a value which depends on θ: As a result, the potential Ф(r,0) -by symmetry, it does not depend on ф-is...
A thin, uniformly charged spherical shell has a potential of 645 V on its surface. Outside...
A thin, uniformly charged spherical shell has a potential of 645 V on its surface. Outside the sphere, at a radial distance of 21.0 cm from this surface, the potential is 325 V. Calculate the radius of the sphere. Determine the total charge on the sphere. What is the electric potential inside the sphere at a radius of 2.0 cm? Calculate the magnitude of the electric field at the surface of the sphere. If an electron starts from rest at...
Two electrical charges q1 = 10nC and q2- -8nC are placed, the first charge being a sphere of radius "c" and the second loadinga spherical shell with internal radius "a" and exter...
Two electrical charges q1 = 10nC and q2- -8nC are placed, the first charge being a sphere of radius "c" and the second loadinga spherical shell with internal radius "a" and external radius "b" Calculate a) The density of volumetric load for any point in space b) The electric field c) The electric potential potential d) The electric flow that passes through the sphere centered at the origin with radius r 0.5 (a b)
Two electrical charges q1 = 10nC...
Name (7) A conducting spherical shell of radius r is charged to a potential V. What...
Name (7) A conducting spherical shell of radius r is charged to a potential V. What is the value of the potential at a distance D from the surface of the sphere? (10 pts) (8) A heavy-duty battery for a truck is rated n amp-hours. What is the amount of electrical energy that this battery can deliver? (10 pts)
How do you calculate the resistance through a thin spherical shell connecting a potential difference. Say...
How do you calculate the resistance through a thin spherical shell connecting a potential difference. Say on one end of a metallic balloon that is a perfect sphere is a 7200 volt wire and the other end is touching a ground. I just cant figure out how to calculate the resistance through the spherical shell (balloon). Do not give me the answer where you calculate current from inside to outside. In this case the current is flowing over the surface...
1. The potential at the surface of a sphere is kept at potential V(R.0)-Vo sin20. The...
1. The potential at the surface of a sphere is kept at potential V(R.0)-Vo sin20. The potential at infinity is zero. (a) Find V(r, 0) inside the sphere. (b) Find V(r,0) outside the sphere. (c) Find σ(θ), the charge density on the sphere. (d) Find the total charge of the sphere. (e) The problern would be a lot harder if the potential were specified to be V(R,θ)-Võsin θ Why? Explain how you would do part (a) without going through the...
A conducting sphere of radius a, at potential Vo, is surrounded by a thin concentric spherical...
A conducting sphere of radius a, at potential Vo, is surrounded by a thin concentric spherical shell of radius b, over which someone has glued a surface charge density σ(8)-k cos θ, where k is a constant and θ is the polar spherical coordinate. (a) Find the potential in each region: (i)r > b, and () a<r<b. [5 points] [Hint: start from the general solution of Laplace's equation in spherical coordinates, but allow for different coefficients in the radial part...
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of: V(R, 0) = V.(1 + 2cose - cos20) (a.) Find the potential inside and outside the sphere. (b.) Find the surface charge density on the sphere. (c.) Find the dipole moment and the dipole term of the electric field, Epip.
2. Potential Inside a Sphere We are interested in the electric potential inside a spherical shell that is radius a and centered on the origin. There are no charges inside the she, so the potential satisfies the Laplace equation, However, there is an external voltage applied to the surface of the shell which holds the potential on the surface to a value which depends on θ: As a result, the potential Ф(r,0) -by symmetry, it does not depend on ф-is...
Two electrical charges q1 = 10nC and q2- -8nC are placed, the first charge being a sphere of radius "c" and the second loadinga spherical shell with internal radius "a" and external radius "b" Calculate a) The density of volumetric load for any point in space b) The electric field c) The electric potential potential d) The electric flow that passes through the sphere centered at the origin with radius r 0.5 (a b)
Two electrical charges q1 = 10nC...
Name (7) A conducting spherical shell of radius r is charged to a potential V. What is the value of the potential at a distance D from the surface of the sphere? (10 pts) (8) A heavy-duty battery for a truck is rated n amp-hours. What is the amount of electrical energy that this battery can deliver? (10 pts)
1. The potential at the surface of a sphere is kept at potential V(R.0)-Vo sin20. The potential at infinity is zero. (a) Find V(r, 0) inside the sphere. (b) Find V(r,0) outside the sphere. (c) Find σ(θ), the charge density on the sphere. (d) Find the total charge of the sphere. (e) The problern would be a lot harder if the potential were specified to be V(R,θ)-Võsin θ Why? Explain how you would do part (a) without going through the...
A conducting sphere of radius a, at potential Vo, is surrounded by a thin concentric spherical shell of radius b, over which someone has glued a surface charge density σ(8)-k cos θ, where k is a constant and θ is the polar spherical coordinate. (a) Find the potential in each region: (i)r > b, and () a<r<b. [5 points] [Hint: start from the general solution of Laplace's equation in spherical coordinates, but allow for different coefficients in the radial part...
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