Voltage and electric field in capacitor

In summary, the conversation discusses the task of finding the largest and smallest electric field strength in a spherical capacitor with a given radius and voltage between electrodes. The person asking for help is unsure of how to approach the problem and has not found a solution through online research. A suggestion is made to use Gauss's theorem for electrostatics to solve the problem.
  • #1
Hiposi
1
0
1. We've been given a spherical capacitor with radius of 1 cm for inside electrode and 2 cm for outside electrode. Voltage between electrodes is 360 V and the task is to find largest and smalles electric field strength in capacitor.2. I'm not sure how voltage given in capacitor works and how to calculate electric field strength with only these things given.

3. I've done capacity calculations given those radius but this is the first time I've been given a voltage to work with.
 
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  • #2
Hi Hiposi.

Welcome to Physics Forums.

Please do not erase the formatting template from the edit window when you create a homework help request. Use the template to format your question/request.

Have you done a web search on "spherical capacitor"? What have you found? The Hyperphysics website has a good introduction:

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capsph.html
 
  • #3
Hint: go with Gauss's theorem for electrostatics.
(Gauss's theorem is actually a purely mathematical theorem but when combined with one of Maxwell's equations it's referred to as such in electrostatics also.)
 

1. What is a capacitor?

A capacitor is an electronic component that stores electric charge. It is made up of two conductive plates separated by an insulating material, known as a dielectric. When a voltage is applied to the capacitor, one plate accumulates positive charge while the other accumulates negative charge, creating an electric field between them.

2. What is voltage in a capacitor?

Voltage in a capacitor is a measure of the potential difference between the two plates. It is the force that drives the movement of electric charge from one plate to the other, and is measured in volts (V). A higher voltage means a greater potential difference and a stronger electric field in the capacitor.

3. How is voltage related to electric field in a capacitor?

Voltage is directly proportional to electric field in a capacitor. This means that as the voltage increases, the electric field between the plates also increases. The relationship between voltage (V), electric field (E), and distance between the plates (d) is given by the equation E = V/d.

4. How does the dielectric material affect voltage and electric field in a capacitor?

The dielectric material between the plates of a capacitor affects the voltage and electric field. It is an insulator that reduces the electric field between the plates, thus increasing the voltage that the capacitor can hold. Different types of dielectric materials have different permittivity values, which determines how much the electric field is reduced.

5. What is the role of capacitors in electronic circuits?

Capacitors play a crucial role in electronic circuits by storing and releasing electrical energy. They are used in a variety of applications, such as filtering out unwanted signals, smoothing out power supply voltages, and storing data in memory chips. They can also be used as timing elements in circuits, as their charging and discharging processes can be controlled by the voltage and electric field in the capacitor.

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