What is the relationship between electric field E and potential V in a uniform electric field?
Practice Questions
1 question
Q1
What is the relationship between electric field E and potential V in a uniform electric field?
E = -dV/dx
E = dV/dx
E = V/dx
E = -V/dx
In a uniform electric field, the relationship is given by E = -dV/dx, indicating that the electric field points in the direction of decreasing potential.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the relationship between electric field E and potential V in a uniform electric field?
Solution: In a uniform electric field, the relationship is given by E = -dV/dx, indicating that the electric field points in the direction of decreasing potential.
Steps: 6
Step 1: Understand what an electric field (E) is. It is a region around a charged object where other charged objects experience a force.
Step 2: Understand what electric potential (V) is. It is the potential energy per unit charge at a point in an electric field.
Step 3: Recognize that in a uniform electric field, the strength of the field is constant throughout the region.
Step 4: Learn the formula E = -dV/dx. This means that the electric field (E) is related to how the electric potential (V) changes with distance (x).
Step 5: The negative sign in the formula indicates that the electric field points in the direction where the potential decreases.
Step 6: Conclude that in a uniform electric field, as you move in the direction of the electric field, the electric potential decreases.
