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This question requires the rearranging of several formulas in order to find the equations (there are two of them) to calculate the work needed to move a charge into the direction of an electric field.
Symbols used in the following formulas.
d = distance in meters (m).
V = potential difference in volts (V).
W = work in joules (J).
q = charge in coulombs (C)
E = electric field in Newtons per coulomb (N/C)
Composing the formula
Step one) E = V ÷ d
Step two) We know that w = qv, which we can then solve to produce
V = w ÷ q
Step three) If we then input the second formula into the first, we can get a formula to calculate the work needed to move a charge into the direction of an electric field,
i.e.
E = V ÷ d
= E = (w ÷ q) ÷ d
which simplifies to become
E = w ÷ qd
Step Four We can then solve this new formula to produce our desired formula which will be,
w = qdE
What else can I help you with?
What is the direction of the electric field near a negative charge?
The electric field near a negative charge points radially inward towards the charge.
What is the relationship between the electric potential in a field and the work done in moving a charge within that field?
The electric potential in a field is directly related to the work done in moving a charge within that field. The electric potential represents the amount of work needed to move a unit positive charge from one point to another in the field. The work done in moving a charge within the field is equal to the product of the charge and the change in electric potential between the two points.
What is the definition of potential defference?
Potential difference is the difference in electric potential between two points in an electric field. It is measured in volts and represents the work done per unit charge in moving a test charge between the two points.
What is the relationship between voltage and electric field in a given electrical system?
In a given electrical system, the relationship between voltage and electric field is that voltage is the measure of electric potential difference between two points in the system, while electric field is the force per unit charge experienced by a charge at a point in the system. The electric field is directly proportional to the voltage in the system.
How do you compare and contrast the electrical field around a negative charge and the electric field around a positive charge?
The electric field around a negative charge points inward, towards the charge, while the electric field around a positive charge points outward, away from the charge. The electric field strength decreases with distance from both charges, following an inverse square law relationship.
What is the direction of the electric field near a negative charge?
The electric field near a negative charge points radially inward towards the charge.
What is the relationship between the electric potential in a field and the work done in moving a charge within that field?
The electric potential in a field is directly related to the work done in moving a charge within that field. The electric potential represents the amount of work needed to move a unit positive charge from one point to another in the field. The work done in moving a charge within the field is equal to the product of the charge and the change in electric potential between the two points.
What is the definition of potential defference?
Potential difference is the difference in electric potential between two points in an electric field. It is measured in volts and represents the work done per unit charge in moving a test charge between the two points.
What is the relationship between voltage and electric field in a given electrical system?
In a given electrical system, the relationship between voltage and electric field is that voltage is the measure of electric potential difference between two points in the system, while electric field is the force per unit charge experienced by a charge at a point in the system. The electric field is directly proportional to the voltage in the system.
How do you compare and contrast the electrical field around a negative charge and the electric field around a positive charge?
The electric field around a negative charge points inward, towards the charge, while the electric field around a positive charge points outward, away from the charge. The electric field strength decreases with distance from both charges, following an inverse square law relationship.
What is the work voltage equation used to calculate the amount of work done in moving a charge between two points in an electric field?
The work voltage equation is W qV, where W is the work done, q is the charge, and V is the voltage between the two points in the electric field.
The electric field of a point charge always points away from the charge?
If the given point charge is of positive one then the field points away from the charge. This is because we define the field at a point as the FORCE acting on unit POSITIVE charge. Like charges have to repel and hence the direction. If, other wise, the point charge is negative then electric field due to this negative charge would be towards the negative and not away from it.
What direction does the electric field point at a position directly east of a negative charge?
The electric field points toward the negative charge.
What Electric potential or potential difference?
Electric potential (also known as voltage) is the amount of electric potential energy per unit of charge at a specific point in an electric field. It is measured in volts (V) and determines the ability of a charge to do work. Potential difference is the difference in electric potential between two points in an electric field and is responsible for the flow of electric current between those points.
What is the magnitude and direction of the electric field between two opposite charges?
The magnitude of the electric field between two opposite charges is determined by the formula E k q / r2, where k is the Coulomb constant, q is the charge magnitude, and r is the distance between the charges. The direction of the electric field points from the positive charge towards the negative charge.
What is the electric field due to a line of charge?
The electric field due to a line of charge is a vector field that points radially outward from the line of charge. Its magnitude decreases as the distance from the line of charge increases.
If the electric field due to the excess charge on the Earth points downward what type of charge does the Earth carry?
The Earth carries a negative charge, as the electric field due to excess negative charge on the Earth points downward.
