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What is the Strength of the Electric Field at the Position Indicated by the Dot in (Figure 1)?

What is the Strength of the Electric Field at the Position Indicated by the Dot in (Figure 1)? – 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 electrical discipline at the placement indicated via the dot.

The Electric Field at this Position is Indicated by the Dot in the Figure?

E = _____ N/C.

What is the way of the electric field at the position indicated by the dot in the figure? Specify the direction as an angle above the horizontal line.

θ = ____ ⁰.

Answer:

Since the charges are at equal distances and both are positive, they will repel with the same magnitude. If you draw the forces, then they will cancel out the y component of the final field. There will only be the x component. And since they are the same, then the final electric field will be twice the x component of one electric field of a charge.

E=kq/r^2

r= 5 x root2 = 7.07 cm or .0707 m (property of 45-45-90 right triangle)

E=(9 x 10^9)(1 x 10^-9)/(.0707)^2

= 1800.5 N/C

Now to find the x component,

cos 45 = x/1800.5

x= 1273.18 N/C

Now just multiply by 2 to accommodate both charges,

E=2546.35 N/C in direction of 0 degrees (no y component since they cancel each other out)

Electric Fields – What is the Strength of the Electric Field at the Position Indicated by the Dot in (Figure 1)

[Electric fields are a representation of the force that a test charge would feel at a given location due to other electrical charges]. Electric fields are vector fields, meaning that they have a magnitude and a direction at all locations in space.

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, an 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 Factor is defined because of the pressure experienced with the aid of a unit high-quality rate positioned at that position. A field is a technique of understanding and mapping the force that surrounds anything. And acts on every other 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 pressure that could be skilled if any other mass were positioned 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 centre 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 rate and point fee are synonymous in the sense that both are unit fantastic charges. However, conceptually. A point rate is one with dimensions a lot smaller than the alternative dimensions acting within the trouble. So that they can be unnoticed. While a take a look at fee is the only this is used to check the effect of an electric-powered discipline.

The test charge is imagined to be so small that it does not exchange the rate configurations, causing the measuring fields. Generally, this price needs to be small enough that it’d be considered point-like. But technically it’s miles the charge that needs to be small, no longer necessarily its dimensions.

What is the Electric Potential at the Point Indicated with the Dot in the Figure? (figure 1)

The amount of labour required to Transport a unit fee from a reference point to a particular point in opposition to an electric-powered area 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 capacity is expressed in units of joules according to coulomb (i.E., volts)in the International System of Units (SI), and potential energy differences are measured with a voltmeter.

Conclusion

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.

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