Solving for Potential Difference Between (4,6,3) and (8,1,6)

In summary, the problem is to compute the potential difference between two points in an electrostatic field with a given constant field strength. The equations used are Fq = qE, Vr = Keq1/(r-r1), and Fq = (Kq1 (r-r1))/(r-r1)3. The attempt at a solution involved finding the vector magnitude of the two points and the field strength, and then using the equations to solve for q. However, it is unclear if this approach is correct and it may be necessary to use the equation V = - \int \mathbf{E} \cdot d \mathbf{l} instead.
  • #1
grtdane17
6
0
1. Homework Statement [/b]
Problem - Compute the potential difference between the points (4,6,3) and (8,1,6) due to a constant electrostatic field given by E = (2 ihat + 7 jhat + 12 khat) N/C. distance in meters

Homework Equations



Fq = qE

Vr = Keq1/(r-r1)

Fq = (Kq1 (r-r1))/(r-r1)3

The Attempt at a Solution



I can't figure out how to solve.

Currently I combined the two points to find the vector magnitude and then found the maginute of E. then plugged into the Fq = qE problem to solve for q. Then plugged into the Vr equation. I don't believe this is correct though and should be using the third equation as well.
 
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  • #2


Try
[tex] V = - \int \mathbf{E} \cdot d \mathbf{l}[/tex]
 
  • #3


The class is not calculus based. It has to be worked by algebra.
 

FAQ: Solving for Potential Difference Between (4,6,3) and (8,1,6)

1.

What is potential difference?

Potential difference, also known as voltage, is the difference in electric potential between two points in an electric circuit. It is measured in volts (V) and represents the amount of work needed to move a unit of charge between the two points.

2.

How is potential difference calculated?

Potential difference is calculated using the formula V = IR, where V is potential difference, I is current, and R is resistance. In this case, the potential difference between the points (4,6,3) and (8,1,6) would be calculated using the voltage at each point and the resistance between them.

3.

What is the unit of measurement for potential difference?

The unit of measurement for potential difference is the volt (V). However, in some cases, it may be measured in millivolts (mV) or kilovolts (kV).

4.

How does potential difference affect electrical circuits?

Potential difference is what drives the flow of electric current in a circuit. The greater the potential difference, the greater the current flow. If the potential difference is too high, it can cause damage to the circuit or equipment.

5.

Why is it important to solve for potential difference between two points?

Solving for potential difference between two points helps us understand the flow of electricity in a circuit and determine the amount of energy being used. It also allows us to identify any potential issues or malfunctions in the circuit that may be affecting the potential difference.

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