The electric force per unit charge is defined as the electric field. The field’s direction is assumed to represent the direction of the force it would impose on a positive test charge. The electric field extends radially from a positive charge and inward from a negative point charge. You will get to know what is the strength of the electric field at the position indicated by the dot in this article.
What is the Strength of the Electric Field at the Position Indicated by the Dot in figure? Concept of a Field
The concept of the electric field is critical for studying electrostatic processes. We know that when two charges are positioned at a given distance apart, electric force is created. The concept of the electric field can be used to describe this action-at-distance.
A number known as electric field intensity or electric field strength describes the strength of the electric field. The intensity of an electric field at a point is defined as the force experienced by a unit positive charge put at that position.
A field is a technique of understanding and mapping the force that surrounds anything. And acts on another object at a distance where there is no obvious physical link. The gravitational field that surrounds the earth (and all other masses) indicates the gravitational force that would be experienced if another mass were placed at a specific point within the field.
Difference between Point Charge and Test Charge
An electric charge is considered to be concentrated in a mathematical point with no spatial extent. ‘The electric field produced by a point charge of equal total charge. It is positioned at the center of a charged conducting sphere and is proven to be exactly equivalent to that produced by a point charge of equal total charge anyplace outside the sphere.’
Test charge and point charge are synonymous in the sense that both are unit positive charges. However, conceptually. A point charge is the one with dimensions so much smaller than the other dimensions appearing in the problem. So that they can be ignored. While a test charge is the one that is used to test the effect of an electric field.
The test charge is imagined to be so small that it does not change the charge configurations, causing the measuring fields. Generally, this charge has to be small enough that it would be considered point-like. But technically it is the charge that must be small, not necessarily its dimensions.
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What is the Electric Potential at the Point Indicated with the Dot in the Figure? (figure 1)
The amount of labor required to transport a unit charge from a reference point to a specific point against an electric field is referred to as electric potential. The reference point is often Earth. But any location beyond the influence of the electric field charge can be utilized.
A positive charge’s potential energy grows when it moves against an electric field and reduces when it moves with the electric field; a negative charge’s potential energy decreases when it moves with the electric field. Unless the unit charge passes through a changing magnetic field, its potential at any given place is independent of the path followed.
Although the concept of electric potential is essential for understanding electrical events, only potential energy differences are quantifiable. The effort required to move a unit charge from one point to another (for example, within an electric circuit) is equal to the difference in potential energies at each point. Electric potential is expressed in units of joules per coulomb (i.e., volts) in the International System of Units (SI), and potential energy differences are measured with a voltmeter.
So, what is the strength of the electric field at the position indicated by the dot in the figure? The charges are at identical distances and are both positive. They will repel with equal force. If the forces are drawn, they will cancel out the y component of the final field. Only the x component will be present. And because they are the same, the final electric field will be double the x component of one charge’s electric field.