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What is the relationship between electric potential and electric field?
What is the relationship between electric potential and electric field?
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Practice Questions
1 question
Q1
What is the relationship between electric potential and electric field?
E = -dV/dx
E = dV/dx
E = V/d
E = -V/d
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The electric field E is the negative gradient of the electric potential V, expressed as E = -dV/dx.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the relationship between electric potential and electric field?
Solution:
The electric field E is the negative gradient of the electric potential V, expressed as E = -dV/dx.
Steps: 5
Show Steps
Step 1: Understand that electric potential (V) is a measure of the potential energy per unit charge at a point in an electric field.
Step 2: Recognize that the electric field (E) is a vector that represents the force experienced by a positive charge in that field.
Step 3: Learn that the electric field is related to how the electric potential changes in space.
Step 4: The relationship is expressed mathematically as E = -dV/dx, where dV/dx is the change in electric potential with respect to distance (x).
Step 5: The negative sign indicates that the electric field points in the direction of decreasing electric potential.
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