-most-accurate-interpretation-of-the-negative-sign-and-the-dot-product-in-v-e-dl

Question

Select the physical interpretation of the negative sign and the dot product in the potential difference expression ΔV=−∫E⃗⋅dl⃗\displaystyle\Delta V=-\int\vec{E}\cdot d\vec{l} .

Accepted Answer

The negative sign indicates potential decreases in the direction of the electric field, and the dot product selects the component of EE  along the path element dldl

Answer

The negative sign means the final potential must be negative, and the dot product removes all directional information from the field

Answer

The negative sign is required only for nonuniform fields, and the dot product converts a scalar potential into a vector quantity

Answer

The negative sign shows that electric field and potential always have opposite magnitudes, and the dot product makes the result depend only on path length

Select the physical interpretation of the negative sign and the dot product in the potential difference expression ΔV=−∫E⃗⋅dl⃗\(\displaystyle\)\(\Delta\) V=-\(\int\[\vec{E}\]\cdot\) d\(\vec{l}\) .

Select the physical interpretation of the negative sign and the dot product in the potential difference expression $Δ V = - \int \vec{E} \cdot d \vec{l}$ .