Help with this problem about electricity

In summary, the conversation is about a problem involving a spherical conductor and conducting shell of different radii, separated by an insulator with a given resistivity. The question is how much current is drawn when a voltage is applied between the inner conductor and conducting shell, and the solution involves integrating the power density over the insulator volume and comparing it to the power drawn from the voltage source.
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Can anybody help me with this problem?

A spherical conductor of radius a is located at the center of a spherical conducting shell of inner radius b. The space between the inner conductor and and conducting shell is filled with an insulator of resistivity rho. A thin wire is passed through the outer conductor and insulator shells to the center conductor and voltage V is then applied between the inner conductor and the conducting shell. How much current is drawn from the voltage source?

Integrate the power density (sigma E^2) over the insulator volume and compare the integral power to the power drawn from the voltage source (I V).
 
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FAQ: Help with this problem about electricity

What is electricity?

Electricity is a form of energy that is created when charged particles, such as electrons, move from one place to another.

How does electricity work?

Electricity works by creating a flow of electrons through a conductive material, such as a wire. This flow of electrons, also known as an electric current, is what powers our electrical devices.

What are the different types of electricity?

The two main types of electricity are direct current (DC) and alternating current (AC). DC flows in one direction, while AC alternates between two directions.

What is the difference between voltage, current, and resistance?

Voltage is the force that pushes the electrons through a circuit, current is the flow of electrons, and resistance is the measure of how difficult it is for the electrons to flow. These three factors are related through Ohm's Law (V=IR).

How can I prevent electric shock?

To prevent electric shock, make sure to always handle electrical devices and wires with dry hands. Avoid using damaged or frayed cords and keep them away from water. It is also important to use outlets and extension cords that are properly grounded and to never overload them with too many devices.

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