Electric Field using Ampere's law

In summary, the conversation discusses a situation where an electric field is confined to a circular area and is increasing at a rate of 22.0 V/m·s. The question is posed about finding the direction and magnitude of the magnetic field at a specific point. The answer suggests using Ampere's law, but notes that the topic may not have been learned yet.
  • #1
Limabeane14
1
0
Consider the situation shown in Figure P24.1. An electric field of 300 V/m is confined to a circular area d = 11.0 cm in diameter and directed outward perpendicular to the plane of the figure. If the field is increasing at a rate of 22.0 V/m·s, what are direction and magnitude of the magnetic field at the point P, 15.0 cm from the center of the circle?


I know that the direction is upward but how do I find the magnitude?

Thanks.
 
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  • #2
You need to use Ampere's law, but judging by the simplicity of the problem, i am not sure if you have learned that topic yet.
 

Related to Electric Field using Ampere's law

What is Ampere's law?

Ampere's law is a mathematical equation that relates the electric field around a closed loop to the electric current passing through that loop. It states that the line integral of the magnetic field around a closed loop is equal to the electric current passing through the loop multiplied by a constant known as the permeability of free space.

How is Ampere's law used to calculate the electric field?

Ampere's law can be used to calculate the electric field around a closed loop by integrating the magnetic field along the path of the loop. This allows us to determine the electric field at any point in space by using the electric current passing through that point.

What are the limitations of Ampere's law?

Ampere's law is only applicable to steady-state situations where the electric current is constant. It also assumes that the electric field is independent of time and does not take into account the effects of changing electric fields over time.

What is the difference between Ampere's law and Gauss's law?

Ampere's law and Gauss's law are two different equations that are used to calculate the electric field. Ampere's law relates the electric field to the electric current, while Gauss's law relates the electric field to the electric charge. They are both useful in different situations and can be used together to fully describe the behavior of electric fields.

How is Ampere's law used in practical applications?

Ampere's law is used in a variety of practical applications, such as in the design of electromagnets, electric motors, and generators. It is also used in the study of electromagnetic waves and the behavior of electric fields in different materials.

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