Why Would an Electric Field Be Discontinuous While V is Continuous
In physics, electric fields are produced by electrically charged particles and extend outward from those particles in a continuous manner. The electric field is continuous because the force exerted by the field on other charged particles is always the same, regardless of the distance between the particles. The electric field is also continuous because it is produced by a continuous distribution of charges.
With a constant density and an infinite range of charges, the continuity of electric field is always linked to the charge distribution. This is necessary in accordance with Gauss' law. If there is an abrupt change in the field, the line must either start or end at the beginning of the field. When an electric field line is only beginning and ending on a charge or infinity, it does not begin and end. Because there must be a surface charge in $Delta E$ across a discontinuity (charge per unit area) magnitude $epsilon_circ *Delta E$, the density of the electric field amplitude jumps across it.
The electrostatic field is zero when charged particles are moved from one point to another on a closed loop. In other words, the tangential component of an electrostatic field is continuous from one side of a charged surface to the other.
This is consistent with a charge at this point in time. To summarize, option B and option D are both correct choices. If there is no other charge present in the medium, the electric field will be continuous, just like when there is a charge in a container. There will be a discontinuous state at that point if there is a charge.
An electric field caused by a charged spherical shell is zero inside and maximum on its surface, but decreases to one or more r2 in a given direction. So the value of electric field does not vary smoothly from r = 0 to r =? The nature of the field necessitates that it be continuous.
The electric field on the surface of a charged conductor is discontinuous, which we understand.
Is Electric Field Continuous Or Discontinuous?
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A continuos curve is a field line in the electric field. To begin, one body is positively charged, then the next body is negatively charged. There are no electric lines of force inside the charged body. As a result, electrostatic field lines form continuous loops, but they do not form closed loops.
Based on Gauss' law of partial results, we can write a partial result in a direct manner. A surface S with a unit normal has a discontinuity in the normal component of the electric field when crossing a surface with a surface charge density of more than one electron per square inch. It is possible to demonstrate that the tangential component of the electric field is continuous across a boundary surface. Jackson is a textbook for graduate students (masters and PhDs). Students who take the course will usually have already completed an undergraduate electromagnetism course, such as the one described above, which will cover the material in the course. The term "discontinuity in the electric field" can be applied in this manner.
The Electric Field Boundary: A Common Occurrence In The Presence Of Sources Of Electric Fields
The electric field of a uniformly accelerated charge terminates abruptly on one side of the plane and has a finite value, implying that it is a plane of discontinuity. A gap of zero in the electric field in a source-free region implies that Gauss law is incompatible with this situation. This is referred to as an electric field boundary and is distinguished by a discontinuity. When there are electric fields in the vicinity of a current or charge, this is a common occurrence. The instrument can be used to find the presence of electric fields as well as to study their behavior.
Is Electric Field A Continuous Curve?
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(a) An electrostatic field line is a continuous curve as a result of the direction of charge motion in an electrostatic field caused by a continuous force acting continuously. Because it cannot jump from one point to the next, it cannot have sudden breaks.
Why Is Electric Field Constant For Infinite Plane?
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Because there is a chance that the field lines will spread out over time, the weaker the field becomes the farther you go from a point charge. Infinite planes never spread, only their fields run parallel to one another indefinitely. As a result, the field is always at its maximum strength.
Charged infinite plane has a constant electric field around it. We use symmetry arguments to expect that the magnitude of the electric field on parallel planes would be constant regardless of whether they were conducting or not. As a result, Gaussian surfaces must be chosen. It is most commonly referred to as a cylinder, which is represented by a Gaussian pillbox. As R expands, the first term decreases to zero. In this limit, E(z) does not depend on the signature of z; however, if the sheet is finite, the flux will not be perpendicular to the surface unless it is right there at the point of contact with the sheet.
Continuity Of Electric Field
In a conductor, the electric field is continuous; that is, there are no "gaps" in the field. This is because the free electrons in the conductor are free to move about, and will quickly fill any "gap" in the field. In an insulator, the electric field is not continuous; there are "gaps" in the field. This is because the free electrons in the insulator are not free to move about, and will not fill any "gap" in the field.
Discontinuities In Electric Fields
The electric field, which governs the behavior of charges with the passage of time, is the fundamental force that governs charge behavior. We can ignore discrete charges because the electric field is always continuous, implying that the field is constantly filled with so many discrete charges that their discrete nature is irrelevant. The electric field is usually thought to be continuous when the total charge produced is so large that there are many discrete charges needed to form it. One exception to this rule is that an electrostatic field line may be continuous at times. When charges at two points do not have the same magnitude, there is a problem with charge magnitude. Because the charges on either side of the discontinuity are different in magnitude in this case, the field line will be discontinuous.
Electric Field Discontinuity
An electric field of a uniformly accelerated charge depicts a plane of discontinuity, where the field extends from one side of the plane to the other and terminates abruptly at a finite value. In a source-free area, there is no sign of zero divergence of the electric field, which implies a violation of Gauss law.
The Discontinuity In The Field Near A Charged Particle
The discontinuity near charged particles is caused by two factors. The shape of the electric field lines is altered in the first step of the charge's journey. A charged particle makes a direct path to a curved electric field line, which transforms into a sphere. It's noticeable that the field lines near positively charged particles are curved more than those near negatively charged particles. This is because positively charged particles drive negatively charged particles around. Because of the strong force acting on negatively charged particles, the field lines curve around them. The electric field line is always moving in the second place. A charge on the particle has an impact on the speed at which the field lines move. Fields move faster near positively charged particles than near negatively charged particles. The negative charged particles can be strongly charged, causing the field lines to move faster.
Is Magnetic Field Continuous
Closed loops form in magnetic field lines without any beginning or end. From north to south, they travel to the poles.
Why Magnetic Fields Always Form Closed Loops
Circular magnetic field is formed by the movement of a closed loop. It is due to the fact that nature does not have a magnetic monopole, and that all fields form poles regardless of the position of the magnets. The North and South are on opposite sides. Pole lines that originate at one pole and end up at another form the foundation of these poles. This is the case for a continuous loop. Fields, on the other hand, lack discrete lines, so they are always moving. As a result, magnetic lines form continuous closed loops.
Symmetric Discontinuous Electric Field
A symmetric discontinuous electric field is an electric field that has a sudden change in voltage at a certain point. This point is known as the point of symmetry. The electric field is said to be discontinuous because there is a sudden change in the voltage, which causes the field to be interrupted.
Source: https://www.drbakstmagnetics.com/why-is-the-electric-field-continuous/
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