A uniform electric field pointing in positive x-direction...

A uniform electric field pointing in positive $x$-direction exists in a region. Let $A$ be the origin, $B$ be the point on the $x$-axis at $x=+1 \mathrm{~cm}$ and $C$ be the point on the $y$-axis at $y=+1 \mathrm{~cm}$. Then, the potentials at the points $A, B$ and $C$ satisfy the condition (a) $v_{A}<V_{B}$ (b) $V_{A}>V_{B}$ (c) $V_{A}<V_{C}$ (d) $V_{A}>V_{C}$

A uniform electric field pointing in positive $x$-direction exists in a region. Let $A$ be the origin, $B$ be the point on the $x$-axis at $x=+1 \mathrm{~cm}$ and $C$ be the point on the $y$-axis at $y=+1 \mathrm{~cm}$. Then, the potentials at the points $A, B$ and $C$ satisfy the condition
(a) $v_{A}<V_{B}$
(b) $V_{A}>V_{B}$
(c) $V_{A}<V_{C}$
(d) $V_{A}>V_{C}$

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Key Concepts

Displacement Component Along the Field

When determining potential differences in a uniform electric field, only the displacement component parallel to the field direction contributes to the change in potential. Displacements perpendicular to the field do not affect the potential, which is a key insight in calculating how potentials vary in space.

Uniform Electric Field

A uniform electric field is one in which the field strength and direction are constant at every point in a region. This concept is crucial because it simplifies the analysis of electric potential differences; the constant field means that the potential varies linearly along the direction of the field.

Electric Potential

Electric potential represents the work done per unit charge in moving a test charge from a reference point to a specific location within an electric field. In a uniform field, the potential difference between two points is computed as the negative product of the electric field magnitude and the displacement along the field’s direction.

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