Figure shows three points A, B and C in a region of uniform electric field E. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good? [image:2_image52.emf] Where $V_{A},\ V_{B}\ and\ V_{C}$ represent the electric potential at the points A, B and C respectively.

Question

Dr. Abubacker · Accepted Answer

(b) The electric field intensity of a point in an electric field in a given direction is equal to the negative potential gradient in that direction, $ie,$
$E = - \frac{dV}{dx}$
The negative sign signifies that the potential decreases in the direction of electric field, $ie,$ electric lines of force flow from higher potential region to lower potential region.
Since, $AB$ is perpendicular to field lines, so $A\ and\ B\ $are at same potential.
Hence, $V_{A} = V_{B} > V_{C}$

Q. Figure shows three points A, B and C in a region of uniform electric field E. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good?

Where $V_{A},\ V_{B}\ and\ V_{C}$ represent the electric potential at the points A, B and C respectively.

Explanation

Reviewed by Dr. Abubacker

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Q. Figure shows three points A, B and C in a region of uniform electric field E. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good? Where $V_{A},\ V_{B}\ and\ V_{C}$ represent the electric potential at the points A, B and C respectively.

Explanation

Reviewed by Dr. Abubacker

Want more practice?

Q. Figure shows three points A, B and C in a region of uniform electric field E. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good?

Where $V_{A},\ V_{B}\ and\ V_{C}$ represent the electric potential at the points A, B and C respectively.