Potential -> electric field. Almost done, need a little help.

In summary, the conversation was about determining the potential and electric field at different locations in a region with a potential function of V=a+bx, where a=10 V/m and b=-7 V/m2. The student got stuck on part b, thinking they made an error with units, but it turns out the given units for a and b were incorrect. The correct units for a should be in volts, and the unit for b should be in V/m.
  • #1
frozenguy
192
0
Potential --> electric field. Almost done, need a little help.

Homework Statement


The potential in a region between x=0 and x=6.00m is V=a+bx.
a=10[V/m]
b=-7[V/m2]
Determine a) the potential at x=0, 3m, and 6m
b.) the electric field at the same locations

Homework Equations


3. The Attempt at a Solution
So I got stuck on part b. It says along x so I disregarded y and z. Partial of V with respect to x is -b which equals 7 but the units are V/m2 which doesn't seem right at all.
What did I screw up?
[
physics230ch2512.jpg
/b]
 
Physics news on Phys.org
  • #2


frozenguy said:

Homework Statement


The potential in a region between x=0 and x=6.00m is V=a+bx.
a=10[V/m]
b=-7[V/m2]
It was not your error. As the unit of the electric potential is V, the units for the constants are wrong: a should be in volts, and the unit of b is V/m.

ehild
 

1. What is potential?

Potential is a scalar quantity that describes the amount of electric potential energy per unit charge at a given point in an electric field.

2. How is electric potential related to electric field?

Electric potential is directly proportional to electric field, with the relationship given by the equation V = Ed, where V is potential, E is electric field, and d is distance.

3. What is the difference between electric potential and electric field?

Electric potential is a scalar quantity that describes the potential energy per unit charge at a given point, while electric field is a vector quantity that describes the force per unit charge at a given point.

4. How is potential related to work done?

Potential is related to work done by the equation W = qV, where W is work, q is charge, and V is potential. This means that the work done to move a charge through an electric field is equal to the product of the charge and the potential difference between the two points.

5. How can potential be changed in an electric field?

Potential can be changed in an electric field by altering the distance between the two points, changing the magnitude of the electric field, or by changing the orientation of the electric field lines.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
161
  • Introductory Physics Homework Help
Replies
2
Views
363
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
890
  • Introductory Physics Homework Help
Replies
1
Views
686
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
23
Views
345
  • Introductory Physics Homework Help
Replies
2
Views
870
Back
Top