If the electric potential in a region is constant, what can be said about the electric field in that region?
Practice Questions
1 question
Q1
If the electric potential in a region is constant, what can be said about the electric field in that region?
It is zero
It is constant
It varies linearly
It is maximum
If the electric potential is constant, the electric field in that region is zero, as E = -dV/dx.
Questions & Step-by-step Solutions
1 item
Q
Q: If the electric potential in a region is constant, what can be said about the electric field in that region?
Solution: If the electric potential is constant, the electric field in that region is zero, as E = -dV/dx.
Steps: 5
Step 1: Understand what electric potential means. It is the amount of electric potential energy per unit charge at a point in space.
Step 2: Recognize that electric field (E) is related to electric potential (V) by the formula E = -dV/dx, where dV is the change in electric potential and dx is the change in position.
Step 3: If the electric potential is constant, it means there is no change in electric potential (dV = 0) in that region.
Step 4: Substitute dV = 0 into the formula E = -dV/dx. This gives E = -0/dx, which simplifies to E = 0.
Step 5: Conclude that if the electric potential is constant, the electric field in that region must be zero.
