If the electric potential in a region is constant, what can be said about the el

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Question: If the electric potential in a region is constant, what can be said about the electric field in that region?

Options:

Correct Answer: It is zero

Solution:

If the electric potential is constant, the electric field in that region is zero, as E = -dV/dx.

If the electric potential in a region is constant, what can be said about the electric field in that region?

If the electric potential in a region is constant, what can be said about the electric field in that region?

Correct Answer: Electric field is zero.

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.

Electric Potential and Electric Field Relationship – The relationship between electric potential (V) and electric field (E) is given by the equation E = -dV/dx, indicating that a constant potential implies no change in potential, hence a zero electric field.