# Answer: Potential Difference Va-Vb for 4.3 nC Particle in 225 N/C Field

• phy112
In summary, the conversation discusses a problem regarding a uniform electric field with magnitude 225 N/C directed to the right, a particle with charge +4.3 nC moving from point a to b, and the potential difference between these points. The necessary equations and units are mentioned, and four comments are made regarding the solution. The distance between a and b is stated to be 0.25 m, and the solution is successfully found.
phy112

## Homework Statement

a uniform electric field has magnitude E = 225 N/C and is directed to the right. A particle with charge +4.3 nC moves along the straight line from a to b.
What is the potential difference Va - Vb between points a and b?

## Homework Equations

Potential dif=Va-Vb

## The Attempt at a Solution

I found the electric force and the work done on the particle. electric force is .968 and the work done is .242

1. We would need to know the distance between a & b, and whether they lie "along" the field line or at some angle to the field, in order to answer the question.

3. Are you aware how much a nanoCoulomb is?

4. Electric potential difference can be determined from the work down and the charge.
Hint: units of potential difference are Volts, which are equivalent to Joules per Coulomb.

the distance is .25 m.

I figured it out. Thanks a lot!

## What is "Potential Difference"?

Potential difference, also known as voltage, is the difference in electric potential between two points in an electric field. It is measured in volts (V).

## What is Va-Vb?

Va-Vb represents the potential difference between two points, Va and Vb, in an electric field. It is calculated by subtracting the potential at point Vb from the potential at point Va.

## What is a 4.3 nC particle?

A 4.3 nC particle refers to a particle with a charge of 4.3 nanocoulombs (nC). Coulombs is the unit of electric charge, and 1 nC is equivalent to 1 billionth of a coulomb.

## What does the 225 N/C field represent?

The 225 N/C field represents the strength of the electric field at a certain point. It is measured in newtons per coulomb (N/C) and indicates the force that would be exerted on a charge placed in that field.

## How is the potential difference calculated for a particle in an electric field?

The potential difference for a particle in an electric field can be calculated using the formula V = Ed, where V is the potential difference, E is the electric field strength, and d is the distance between the two points in the field. The potential difference is directly proportional to the electric field strength and the distance between the points.

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