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Distance between Parallel Lines

A uniform ele...

Question

A uniform electric field is prevailing in X-direction in a certain region. The coordinates of points $P, Q$ and $R$ are $(0, 0), (2, 0)$ and $(0, 2)$ respectively. Which of the following alternatives is true for the potentials at these points?

V_{P} = V_{Q}, V_{Q} > V_{Q}

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V_{P} > V_{Q}, V_{P} = V_{R}

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V_{P} > V_{R}, V_{Q} = V_{R}

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V_{P} = V_{Q}, V_{Q} > V_{R}

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Solution

The correct option is B $V_{P} > V_{Q}, V_{P} = V_{R}$
Since the uniform electric filed is in the X-direction. Therefore, the plane parallel to the Y-axis will be a equipotential surface. SO, the point P and R lying on the Y-axis will be at same potential. So, $V_{P} = V_{R}$

On the other hand, the point Q is farther from the point P which is at origin. SO, the potential of the point P will be higher than that of the point Q i.e. $V_{P} > V_{Q}$ .

Here correct option is B

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A uniform electric field is prevailing in X-direction in a certain region. The coordinates of points P,Q and R are (0,0),(2,0) and (0,2) respectively. Which of the following alternatives is true for the potentials at these points?

A uniform electric field is prevailing in X-direction in a certain region. The coordinates of points $P, Q$ and $R$ are $(0, 0), (2, 0)$ and $(0, 2)$ respectively. Which of the following alternatives is true for the potentials at these points?