Formula and Example of Electric Field Due to Point Charge

Electric Field 1639035625
electromagnetic waves, wave-length, electric field oscillations @ Pixabay

The electrical charge of particles could be an elementary feature of matter that governs how an electrical or field of force influences it. charge exists in distinct natural units that are neither created nor destroyed.

Electrical charges are classified into 2 types: positive and negative charges. Once two objects with an overabundance of 1 style of charge are placed shut enough together, they repel every other. Once two absolutely charged things get bit with one another, they attract one another. The electric field due to a point charge is based on this reaction. 

The property of electrical charge is shared by several basic, or subatomic, parts of matter. Electrons have a charge, whereas nucleons have a charge.  

Neutrons, on the opposite hand, are neutral or dead particles. Experiments show that the negative charge of every lepton and therefore the positive charge of each proton have an equivalent magnitude. 

Natural units are wont to quantify the charge of an electron or proton, which could be an elementary physical constant.

Let’s take an example:

Take a look at the cost of a component. Q vacuumed up the original point O. Price q will be in a zone P where OP = r, according to Coulomb’s law, provided all other factors are equal, and price Q will exert pressure on q.

The price Q creates an electric-powered zone that extends throughout the entire space. The sphere puts pressure on a scintillating price, q, when it is placed at factor P. Most frequently, the electric-powered zone generated by a check price Q multiplied by a factor r is represented as follows:

The vector r = r/r extends from the starting point to the factor r. As a result, the above declaration defines the fee of the electrical area for each fee of the placement vector r. The term “area” refers to the change in the area of a quantity over time (which is most often a scalar or vector).The presence of the electrical area has been connected with the movement of a fee. 

It’s worth noting that the charge q has an equal and opposite force on the charge Q.

The interaction between charge Q and the electric field of charge q, and vice versa, can be understood as the electrostatic force between two charges q and Q. The test charge q feels an F (force) equal to the charge q multiplied by the E (electric field) at the point q if the vector r represents the test charge q.


F(r) = q E F(r) = q E F(r) = q (r)

In SI units, the electric field is expressed as N/C.

Here are some key points to consider:

We shouldn’t overlook a few crucial factors when studying E Due to a Point Charge (Electric Field)

The electric field produced by a charge Q is numerically identical to the force exerted by it if q is unity. As a result, the electric field created by a charge Q at a given position in space can be described as the force that a unit positive charge would experience if it were placed there.

The charge Q that generates the electric field is called the source charge, whereas the charge q that evaluates the influence of a source charge is called the test charge.

Keep in mind that the source charge Q must remain in its original location. If a charge q is applied to any site near Q, Q will be subjected to an electrical force as a result of q’s response and will begin to move. One option is to reduce q to the point where it is insignificant.

As a result, the force F is negligible, but the ratio F/q is finite, and the electric field has the following definition:

It’s worth noting that, while the electric field E formed by Q is typically defined in terms of some test charge q, it is completely independent of q. This is owing to the fact that F is proportional to q.

As a result, the F/q ratio is unaffected by q. The force F exerted on the charge q is determined by the exact position of the charge Q, which might be any value within the region surrounding the charge Q.

Therefore, the spatial coordinate r has an impact on the electric field E produced by Q. For different positions of the charge q in space, we get varied values of the electric field E. Every point in three-dimensional space contains the field.

The electric field of a positive charge radiates outwards. The electric field vector at each place will point inwards radially when the source charge is negative.

Because the electric field E is solely defined by the distance r between charge q and charge Q, the magnitude of the force F exerted on charge q by charge Q is also solely determined by the distance r. As a result, at identical distances from the charge Q, the magnitude of the electric field E is the same.

On a sphere with the point charge at its centre, the magnitude of the electric field E due to a point charge is the same; it has spherical symmetry.

The electric field created by a charging system is as follows:

Consider a charge system q1, q2,…, qn with r1, r2,…, rn position vectors with respect to some origin O. The electric field at a point in space created by a system of charges, equivalent to the electric field at a point in space caused by a single charge, is characterised as the force felt by a unit test charge placed at that site without affecting the initial placements of charges q1, q2,…, qn.

To determine this field at a point P represented by a position vector r, we can utilise Coulomb’s law and the superposition principle.

The electric field E1 at r induced by q1 at r1 can be calculated as follows:

The physical significance of the electric field:

The electric-powered topic at that location determines the pressure that a unit’s great check price might experience if it is situated within the region around a device of expenses (without disrupting the gadget).

The charging device includes the electric-powered subject, not the check fee that was used to set up the sphere. In physics, a topic is a quantity that is unique at each factor in the area and can change from one region to the next. Because pressure is a vector amount, the electric-powered subject is a vector topic.

The concept of electrical fields will become bodily significant as we move past electrostatics and look at time-established electromagnetic processes. Consider the pressures q1 and q2 in greater travel amid faraway expenses.

The speed at which a sign or facts travel from one factor to the next is now equal to c, the speed of light. As a result, any movement in q1 will have no direct impact on q2. The effect (pressure on q2) and the source may be delayed in time (movement of q1).

The concept of the electrical subject (strictly, electromagnetic subject) is obvious and extremely useful in this situation. The sphere image is as follows: Increased price q1 generates electromagnetic waves that travel at c, reach q2, and exert pressure on q2. The spherical concept elegantly explains the time delay.


The Sigma bond is a connection formed between the atoms of a molecule by s orbitals crossing along the axis that joins the two nuclei. It is the first to form, and its stability is determined by the distribution of electrons within the sigma bonding and antibonding orbitals.

Pi bonds are molecular connections that are typically generated when the p orbitals of various atoms overlap. The electrons in pi bonds will be scattered above and below the axis joining the nuclei in the bond’s atoms, but not along with it.

The antibonding and bonding pi orbitals play a role in the strength of these relationships.


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