Joules23 said:
Why would you get zero?Joules23 said:
Gauss' Law is a fundamental law of electromagnetism that relates the electric flux through a closed surface to the enclosed electric charge. It states that the electric flux through a closed surface is proportional to the electric charge enclosed by that surface. This law helps us understand the behavior of electric fields and is often used to solve problems involving electric charges and fields.
Gauss' Law is expressed mathematically as:∮E⃗ ⋅ dA⃗ = Qenc/ε0where ∮E⃗ ⋅ dA⃗ represents the flux of the electric field through a closed surface, Qenc is the enclosed electric charge, and ε0 is the permittivity of free space. This equation is also known as the integral form of Gauss' Law.
Electric flux is a measure of the electric field passing through a given area. It is calculated by taking the dot product of the electric field and the area vector. Mathematically, it can be expressed as:ΦE = E⃗ ⋅ A⃗where ΦE represents the electric flux, E⃗ is the electric field, and A⃗ is the area vector. The unit of electric flux is volt-meters (V∙m) or newton-meters squared per coulomb (N∙m²/C).
Yes, Gauss' Law can be applied to any closed surface, as long as it encloses the electric charge of interest. This includes any shape, such as a sphere, cube, or irregular shape. However, it is important to choose a closed surface that simplifies the calculation of the electric flux, as some surfaces may be more complex to work with than others.
Gauss' Law has many practical applications, such as in the design and analysis of electrical circuits, capacitors, and electric motors. It is also used in the development of technologies such as electrostatic precipitators, which are used to remove pollutants from industrial exhaust gases. Additionally, Gauss' Law is essential in understanding the behavior of lightning and in predicting the strength of electric fields in thunderstorms.