A solid conducting sphere of radius a

Use app Login. A solid conducting sphere of radius a having a charge q is surrounded by a concentric conducting spherical shell of inner radius 2a and outer radius 3a as shown in figure. Open in App.

None of the above. A spherical conducting shell of inner radius r 1 and outer radius r 2 has a charge Q. What is the surface charge density on the inner and outer surfaces of the shell? A conducting spherical shell having inner radius a and outer radius b carries a net charge Q. If a point charge q is placed at the centre of this shell, then the surface charge density on the outer surface of the shell is given as:. A metallic spherical shell has an inner radius R 1 and outer radius R 2.

A solid conducting sphere of radius a

Learn from their 1-to-1 discussion with Filo tutors. Total classes on Filo by this tutor - 1, Teaches : Physics, Biology, Organic Chemistry. Total classes on Filo by this tutor - 18, Teaches : Physics, Mathematics, Biology. Views: 5, Views: 6, Connect with our Physics tutors online and get step by step solution of this question. Are you ready to take control of your learning? Class Electric Charges and Fields. Charging by Induction. A solid conducting sphere of radius a has a net positive charg. Solving time: 2 mins.

A sphere of radius R carries charge such that its volume charge densit

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Imagine for a moment that we have two neutrally-charged but otherwise arbitrary conductors, separated in space. Figure 2. Clearly there is an electric field pointing out of the former, and into the latter, with the field lines leaving and landing perpendicular to the surfaces. That is, the positively-charged conductor will be an equipotential at a higher voltage than the equipotential that is the negatively-charged conductor. What would we expect to see change in the electric field? We would expect the magnitude of the electric field to change, but the field lines should be shaped exactly the same. Consequently, when we compute the potential change using the same path as before i. We express this fact that the potential difference across two conductors is proportional to the charge they separate in a simple equation:. We associate this constant with the set-up because if the geometry is somehow changed the conductors are pulled farther apart, one is rotated, the shape of one is altered, etc. That is, the capacitance of a system of conductors is uniquely-defined by the physical structure of those conductors, but is unaffected by the amount of charge separated.

A solid conducting sphere of radius a

It turns out that in situations that have certain symmetries spherical, cylindrical, or planar in the charge distribution, we can deduce the electric field based on knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has constant magnitude. Note that these symmetries lead to the transformation of the flux integral into a product of the magnitude of the electric field and an appropriate area. The direction of the electric field at point P is obtained from the symmetry of the charge distribution and the type of charge in the distribution. Here is a summary of the steps we will follow:. They are. To exploit the symmetry, we perform the calculations in appropriate coordinate systems and use the right kind of Gaussian surface for that symmetry, applying the remaining four steps. A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. Thus, it is not the shape of the object but rather the shape of the charge distribution that determines whether or not a system has spherical symmetry.

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Physics for Scientists and Engineers: Foundations A slab of insulating material has thickness 2d and is oriented so that its Sources of Magnetic Field 0. Spinning on String of Variable Length. A conducting spherical shell having inner radius a and outer radius b carries a net charge Q. Essay review. Talk to a tutor now students are taking LIVE classes. Example: If your answer is 3. Question 4. In a figure shown find the ratio of the linear charge densites lambda Video Solution. Find a the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: b 0.

The electric field of a point charge Q can be obtained by a straightforward application of Gauss' law.

Kinematics Equations. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. Three poistive charges of equal value q are placed at the vertices of Friction, Inclines, Systems 0. Angular Collisions with Linear Motion. Connect with our Physics tutors online and get step by step solution of this question. A conducting sphere of radius R and a concentric thick spherical shell of inner radius 2R and outer radius 3R is shown in figure. Adding Mass to a Moving System. Question 2. Does the electric flux through the What is the charge on the inner surface of the outer conducting sphere of radius R2? Knowledge Booster.