# A Hollow Metal Sphere Has 6 Cm And 10cm Pdf

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- Exam-Style Questions on Mensuration
- 6.E: Gauss's Law (Exercises)
- Important Questions for CBSE Class 9 Mathematics Surface Areas and Volumes

## Exam-Style Questions on Mensuration

What are the maximum and minimum values of the flux in the preceding question? The net electric flux crossing a closed surface is always zero. True or false? The net electric flux crossing an open surface is never zero.

Two concentric spherical surfaces enclose a point charge q. The radius of the outer sphere is twice that of the inner one. Compare the electric fluxes crossing the two surfaces. Compare the electric flux through the surface of a cube of side length a that has a charge q at its center to the flux through a spherical surface of radius a with a charge q at its center. Discuss the similarities and differences between the gravitational field of a point mass m and the electric field of a point charge q.

Discuss the restrictions on the Gaussian surface used to discuss planar symmetry. For example, is its length important? Does the cross-section have to be square? Must the end faces be on opposite sides of the sheet? Is the electric field inside a metal always zero? Under electrostatic conditions, the excess charge on a conductor resides on its surface.

Does this mean that all the conduction electrons in a conductor are on the surface? A charge q is placed in the cavity of a conductor as shown below. Will a charge outside the conductor experience an electric field due to the presence of q?

What is the electric flux through the sheet? Find the flux for both directions of the unit normal to the sheet.

Find the charge density on the sheet. The charges on the plates face each other. The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Leave your answer as an integral. What is its electric flux through a circular area of radius 2. What is the flux through the surface due to the electric field of the charged wire?

Determine the electric flux through each closed surface whose cross-section inside the surface is shown below. Find the electric flux through the closed surface whose cross-sections are shown below. A point charge q is located at the center of a cube whose sides are of length a. If there are no other charges in this system, what is the electric flux through one face of the cube? Find the net electric flux though the surfaces of the cube. A charge q is placed at one of the corners of a cube of side a , as shown below.

Find the magnitude of the electric flux through the shaded face due to q. The electric flux through a cubical box 8. What is the total charge enclosed by the box? What is the net charge enclosed by the surface? What is the net flux through the cube? Repeat the previous problem, assuming that the electric field is directed along a body diagonal of the cube.

Rewrite the answers in terms of the total charge Q on the sphere. Suppose that the charge density of the spherical charge distribution shown in Figure 6.

Obtain expressions for the electric field both inside and outside the distribution. What is the electric field at a distance 2. Determine the electric field due to this charge at a distance of. Repeat your calculations for the preceding problem, given that the charge is distributed uniformly over the surface of a spherical conductor of radius Show that the electric field due to the charge is.

When a charge is placed on a metal sphere, it ends up in equilibrium at the outer surface. What is the electric field due to this charge at a point just above the surface of the sheet?

Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. All charges on the aluminum rod reside at its surface. The inner surface of the copper shell has exactly opposite charge to that of the aluminum rod while the outer surface of the copper shell has the same charge as the aluminum rod. Find the magnitude and direction of the electric field at points that are at the following distances from the center of the aluminum rod:.

Show that the field of this charge distribution is directed radially with respect to the cylinder and that. The electric field How much charge is on the surface of the ball? Determine the electric field due to this charge as a function of r , the distance from the center of the shell. Determine the electric field due to the charge at points both inside and outside the sphere. What is the electric field produced by this charge distribution?

An uncharged conductor with an internal cavity is shown in the following figure. What is the charge on the outer surface of the conductor?

An uncharged spherical conductor S of radius R has two spherical cavities A and B of radii a and b , respectively as shown below. Draw enough lines to represent all distinctly different places.

See below. Draw the electric field lines. A copper spherical shell of inner radius 6 cm and outer radius 8 cm surrounds it. The plates are 1. What is the electric field at the center of the region between the plates? What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.

The electric field just above the surface of the conductor is directed radially outward and has magnitude 8. A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b.

A circular area S is concentric with the origin, has radius a, and lies in the yz -plane. Determine the flux that passes through the surface of a sphere of radius R centered at the charge. What is the net charge enclosed by the shaded volume shown below? What is the net flux due to these charges through a square surface of side 2a that lies in the yz -plane and is centered at the origin? Hint: Determine the flux due to each charge separately, then use the principle of superposition.

You may be able to make a symmetry argument. A fellow student calculated the flux through the square for the system in the preceding problem and got 0. What went wrong?

You may ignore the charges on the thin sides of the edges. What is the electric field produced by this charge distribution, both inside and outside the distribution? They are separated at center-to-center distance a see below. Hint: Work one sphere at a time and use the superposition principle. Find the electric field at a height h above the center of the disk.

Concentric conducting spherical shells carry charges Q and —Q , respectively see below. The inner shell has negligible thickness. The Hubble Space Telescope can measure the energy flux from distant objects such as supernovae and stars. Scientists then use this data to calculate the energy emitted by that object. Hint : The Hubble intercepts only a small part of the total flux. What is the electric field at a distance x from the sheet? Compare the result of this calculation with that of worked out in the text.

A spherical rubber balloon carries a total charge Q distributed uniformly over its surface. Determine the electric field due to this charge as a function of time. Ignore any effect on the electric field due to the material of the balloon and assume that the radius increases uniformly with time.

Find the electric field of a large conducting plate containing a net charge q. Let A be area of one side of the plate and h the thickness of the plate see below. The charge on the metal plate will distribute mostly on the two planar sides and very little on the edges if the plate is thin. Samuel J.

## 6.E: Gauss's Law (Exercises)

In metal matrix composites, a metal is combined with another, often nonmetallic, phase to produce a novel material having attractive engineering attributes of its own. A subject of much research in the s and s, this class of materials has, in the past decade, increased significantly in variety. Copper matrix composites, layered composites, high-conductivity composites, nanoscale Two metal spheres of capacitance C 1 and C 2 carry some charges. They are put in contact and then separated. The rods and a positively charged sphere are positioned as shown in the diagram. Man made his first picture with metal tools.

A cm cm A hollow metal sphere has inner radius a and outer radius b. Part D: How much charge is on the inside surface of the hollow sphere? ˆ 2/ 4. 1. ˆ 2/ 4. 1. 5. 2. 6. 0. 2.

## Important Questions for CBSE Class 9 Mathematics Surface Areas and Volumes

Measurement and Geometry : Module 12 Years : PDF Version of module. In the earlier module, Area Volume and Surface Area we developed formulas and principles for finding the volume and surface areas for prisms.

How much ice-cream can be put into a cone with base radius 3. The total surface area of a cube is cm 2. Find the length of its edge.

What are the maximum and minimum values of the flux in the preceding question? The net electric flux crossing a closed surface is always zero. True or false? The net electric flux crossing an open surface is never zero.

These solutions for Mensuration are extremely popular among Class 10 students for Math Mensuration Solutions come handy for quickly completing your homework and preparing for exams. Find the volume of a cone if the radius of its base is 1. Find the total surface area of a cylinder if the radius of its base is 5 cm and height is 40 cm. The dimensions of a cuboid are 44 cm, 21 cm, 12 cm.

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Find the volume of a sphere whose radius is: i 2 cm ii 3. In the given problem, we have to find the volume of the sphere of given radii. Therefore, the volume of the sphere of radius 2 cm is.

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These solutions for Surface Areas And Volumes are extremely popular among Class 10 students for Math Surface Areas And Volumes Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rd Sharma Book of Class 10 Math Chapter 14 are provided here for you for free. We are given a solid sphere with radius cm.

A bricklayer estimates the number of bricks he will need to build a wall by dividing the area of the wall by the area of the face of a brick. Worked Solution. The diagram shows a water tank in the shape of a cylinder.

Get answer: A hollow metal sphere of radius 6 cm is charged such that the potential on its A hollow charged metal sphere has radius `r`.

A hollow metal sphere of radius 10cm is charged such that the potential on its surface The potential at the centre of the sphere is 80V because it remains same at Was this answer helpful? if a particle of charge q=+×10−19 C is moved from the sheet to a point P at Customize assignments and download PDF's.

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