![]() We believe everyone should have free access to Physics educational material, by sharing you help us reach all Physics students and those interested in Physics across the globe. This allows us to allocate future resource and keep these Physics calculators and educational material free for all to use across the globe. We hope you found the Electric Flux Calculator useful with your Physics revision, if you did, we kindly request that you rate this Physics calculator and, if you have time, share to your favourite social network. You can then email or print this electric flux calculation as required for later use. As you enter the specific factors of each electric flux calculation, the Electric Flux Calculator will automatically calculate the results and update the Physics formula elements with each element of the electric flux calculation. Please note that the formula for each calculation along with detailed calculations are available below. Surface area Note 1 ( |A|) m 2 Īngle between electric field lines and the area vector ( θ) ° Įlectric constant or vacuum permittivity ( ϵ 0) C 2/N∙m 2 The electric flux through a closed surface when the charge is given using the Gauss Law isĮlectric flux calculations for inward fluxĮlectric flux calculations for outward flux The electric flux (outward flux) through a closed surface when electric field is given is V ∙ m Question: Consider a uniform electric field E = 3 × 10 3 i ̂ N / C.Electric Flux (Gauss Law) Calculator Results (detailed calculations and formula below) The electric flux (inward flux) through a closed surface when electric field is given is V ∙ m Notice that the unit of electric flux is a volt-time a meter. Solution: The electric flux which is passing through the surface is given by the equation as: Find the electric flux that passes through the surface. Question: An electric field of 500 V/m makes an angle of 30.00 with the surface vector. Where the electric field is E, multiplied by the component of area perpendicular to the field. ![]() For a non-uniform electric field, usually the electric flux dΦ E through a small surface area dS is denoted by: Where E is the magnitude of the electric field (having units of V/m), S is the area of the surface, and θ is the angle between the electric field lines and the normal (perpendicular) to S. If the electric field is uniform, the electric flux (Φ E) passing through a surface of vector area S is: You can understand this with an equation. ![]() Electric flux is proportional to the number of electric field lines going through a virtual surface. In the centimeter-gram-second system, the net flux of an electric field through any closed surface is equal to the consistent 4π times the enclosed charge, measured in electrostatic units (esu). In the related meter-kilogram-second system and the International System of Units (SI) the net flux of an electric field through any closed surface is usually equal to the enclosed charge, in units of coulombs, divided by a constant, called the permittivity of free space. It is one of the fundamental laws of electromagnetism. The mathematical relation between electric flux and the enclosed charge is known as Gauss law for the electric field. Browse more Topics under Electric Charges And Fieldsĭownload Conductors and Insulators Cheat Sheet PDF If a net charge is contained inside a closed surface, the total flux through the surface is proportional to the enclosed charge, positive if it is positive, negative if it is negative. The negative flux just equals in magnitude the positive flux, so that the net or total, electric flux is zero. If there is no given net charge within a given closed surface then every field line directed into the given surface continues through the interior and is usually directed outward elsewhere on the surface. Field lines directed into a closed surface are considered negative those directed out of a closed surface are positive. ![]() Electric field lines are usually considered to start on positive electric charges and to end on negative charges. It may be thought of as the number of forces that intersect a given area. Electric flux is a property of an electric field.
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