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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

A
VA<VB
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B
VA>VB
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C
VA<VC
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D
VA>VC
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Solution

The correct option is B VA>VB

Let the potential of point A, B and C be VA,VB and VC
As shown in figure E is along positive x- axis.

Equipotential surfaces are perpendicular to electric field, and are represented by dotted lines.

From the definition of an equipotential surface we can say that , VA=VC ( as point A and C are on same equipotential surface)

As we move along the direction of electric field, the electric potential decreases.
So,
VA>VB

Hence, option (b) is the correct answer.

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