Potential Gradient and Relation between Electric Field and Potential
A uniform ele...
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 BVA>VB
Points A and C fall on a equipotential line, which implies VA=VC
As the point B is along the line ahead of A, by using E=−∂v∂r VB<VA