A uniform electric field pointing in positive -direction exists in a region. Let be the origin, be the point on the -axis at and be the point on the -axis at . Then the potentials at the points and satisfy: [2001]

Question

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 $x = + 1 cm$ and $C$ be the point on the $y$ -axis at $y = + 1 cm$ . Then the potentials at the points $A, B$ and $C$ satisfy: [2001]

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(2)

As we move along the direction of the electric field, the potential decreases.

$∴$ $V_{A} > V_{B}$ and $V_{A} = V_{C}$ on equipotential surface.

Solution

Q.
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 $x = + 1 cm$ and $C$ be the point on the $y$ -axis at $y = + 1 cm$ . Then the potentials at the points $A, B$ and $C$ satisfy: [2001]

1 $V_{A} < V_{B}$

2 $V_{A} > V_{B}$

3 $V_{A} < V_{C}$

4 $V_{A} > V_{C}$

Ans.
(2)

As we move along the direction of the electric field, the potential decreases.

$∴$ $V_{A} > V_{B}$ and $V_{A} = V_{C}$ on equipotential surface.

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Solution

Q. 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 cm and C be the point on the y-axis at y=+1 cm. Then the potentials at the points A, B and C satisfy: [2001]

1 VA<VB

2 VA>VB

3 VA<VC

4 VA>VC

Ans. (2) As we move along the direction of the electric field, the potential decreases. ∴ VA>VB and VA=VC on equipotential surface.