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in Physics by (53.5k points)

The electric potential V as a function of distance X is shown in the figure.

The graph of the magnitude of electric field intensity E as a function of X is

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2 Answers

+1 vote
by (53.7k points)

Correct option is (i)

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by (35 points)

Potential decreases as we move from a weaker to a stronger electric field.

\(\vec{E_x}= - \dfrac{\partial V}{\partial x}\)

This relation can be interpreted graphically where E is the slope of a V-X curve, now coming back to the question.

from 0 to 2, the slope of the graph is positive and a constant, which indicates potential increase, this means electric field is constant and negative.

From 2 to 4, the potential is constant and the slope is zero, therefore electric field is zero

From 4 to 6, potential is decreasing and slope is constant, therefore electric field is positive and constant.

Option (i) is the correct answer

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