PEEWSRIGWETRYqx

2021-12-16

A hollow, conducting sphere with an outer radius of 0.250 m and an inner radius of 0.200 m has a uniform surface charge destiny of $+6.37\times {10}^{-6}\frac{C}{{m}^{2}}$. A charge of $-0.500\mu C$ is now introduced at the center of the cavity inside the sphere.

(a) What is the new carge density on the outside of the sphere?

(b) Calculate the strength of the electric field just outside the sphere.

(c) What is the electric flux through a spherical surface just inside the inner surface of the sphere?

Ronnie Schechter

Beginner2021-12-17Added 27 answers

(a) Calculation:

Solve for the new charge density on the outside of the sphere:

As equation (22.10) mentions, the electric field at the surface of a conductor is given by

We use the same technique as an example (22.5), the electric field at the surface of a charged conducting sphere is given by

Substituting from the previous calculation and solve for the charge density on the outside of the sphere, then we get

In order to evaluate the new charge density on the outside of the sphere, we use the following relation:

So, the new charge density on the outside of the sphere is

Becky Harrison

Beginner2021-12-18Added 40 answers

(b) Calculation:

Solve for the strength of the electric field just outside of the sphere:

As equation (22.10) mentions, the electric field at the surface of a conductor is given by

$E=\frac{\sigma}{{\u03f5}_{0}}$

$=\frac{5.733\times {10}^{-6}\frac{C}{{m}^{2}}}{8.854\times {10}^{-12}\frac{{C}^{2}}{N}\cdot {m}^{2}}$

$=6.475\times {10}^{5}\frac{N}{C}$

So, the strength of the electric field just outside of the sphere is$6.475\times {10}^{5}\frac{N}{C}$

Solve for the strength of the electric field just outside of the sphere:

As equation (22.10) mentions, the electric field at the surface of a conductor is given by

So, the strength of the electric field just outside of the sphere is

Don Sumner

Skilled2021-12-27Added 184 answers

(c) Calculation:

As equation (22.8) mentions, the electric flux through a spherical surface inside the inner surface of the sphere is given by

So, the electric flux through a spherical surface inside the inner surface of the sphere is

Eliza Beth13

Skilled2023-06-13Added 130 answers

madeleinejames20

Skilled2023-06-13Added 165 answers

Materials which do not allow electric current to flow through them is known as

What do you mean by power rating of an electrical appliance? How to use it to calculate (a) the resistance of the appliance, and (b) the safe limit of current in it, while in use?

What is the difference between charge and energy? Are they interrelated

If a light burns out in a parallel circuit, what happens to other lights that may be connected and why?

The device which is used to measure electric current through a circuit is called a/an ____.

Ammeter

Voltmeter

Ohmmeter

WattmeterDoes higher Ohms mean more Resistance?

What factors does the resistance of a conductor depend on?

Define one coulomb charge.

State Ohm's law. Draw a labelled circuit diagram to verify this law in the laboratory. Draw a V-I graph for the same and explain how would you use this graph to determine the resistance of the conductor.

The rate of flow of charges is known as

1) Electric potential

2) Electric conductance

3) Electric current

4) None of these.If the distance between two charges is doubled, what will happen the force between the charges?

Give $3$ differences between ohmic and non-ohmic conductors.

A thick wire has smaller resistance while a thin wire has larger resistance. True or False

Which metals is the best conductors of electricity?

A)Nickel;

B)Silver;

C)Gold;

D)SodiumHow to find the exact value of $\mathrm{csc}\left(\frac{5\pi}{6}\right)$ using the half angle formula?