The law was formulated by Carl Friedrich Gauss (see ) in 1835, but was. Gausss law, also known as Gausss flux theorem, is a law relating the distribution of electric charge to the resulting electric field. If an electric field crosses with an angle of \(60^\) to it and has E= 2 Volte per meter. electric field: A region of space around a charged particle, or between two voltages it exerts a force on charged objects in its vicinity. Q.1: A planar surface has an area of 1 square meter. The angle between the plane and the axis parallel to the direction of flow of the electric field. Similar to the above example, if the plane is normal to the flow of the electric field, the total flux is given as:Īlso, if the same plane is inclined at an angle \theta, the projected area can be given as \(Acos\theta\) and the total flux through this surface will be, The total number of electric field lines passing through a given area in a unit time is the electric flux. positive if it is positive, negative if it is negative. If a net charge is contained within a closed surface, then the total flux through the surface will be proportional to the enclosed charge, i.e. So, the net or total, the electric flux will be zero.
The negative flux is just equal to the magnitude of the positive flux. If there is no given net charge within some closed surface then every field line directed into the given surface will continue through the interior. Therefore it is analogous to the flow of liquid as discussed above. The electric field is behaving in a similar way. Here, \(dA cos\theta\) is the projected area of the plane towards the perpendicular direction of the flow of the liquid. Then the total volume of liquid crossing through the plane per unit time is given as \(v ×dA \ cos \theta\). When the plane is not exactly normal to the flow of the fluid then it will be inclined at an angle \(\theta\). Then the volumetric flow of the liquid crossing that plane normal to the flow will be given as v × dA. Let us consider a small unit area of the plane given as dA. We will take the cross-sectional plane of the pipe. 2 Solved Examples Electric Flux formula What is electric Flux?Ĭonsider the flow of water with some velocity v in a pipe in a certain fixed direction, suppose towards the right.
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