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?

Question

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? (A)  VA=VB=VC  (B)  VA=VB>VC  (C)  VA=VB<VC  (D)  VA>VB=VC Where VA,VB and VC represent the electric potentials at the points A, B and C respectively.

Tardigrade Admin · Accepted Answer

Electric lines of force constitute electric field. In an electric field electric lines of force always flow from higher potential to lower potential. Hence, A and B are at same higher potential and B is at lower potential.
Thus,

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 $A B$ is perpendicular and $BC$ is parallel to the field lines. Then which of the following holds good?

$V_{A} = V_{B} = V_{C}$

$V_{A} = V_{B} > V_{C}$

$V_{A} = V_{B} < V_{C}$

$V_{A} > V_{B} = V_{C}$ Where $V_{A}, V_{B}$ and $V_{C}$ represent the electric potentials at the points A, B and C respectively.

Electric lines of force constitute electric field. In an electric field electric lines of force always flow from higher potential to lower potential. Hence, A and B are at same higher potential and B is at lower potential.
Thus, $V_{A} = V_{B} > V_{C}$ .

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?

VA​=VB​=VC​

VA​=VB​>VC​

VA​=VB​<VC​

VA​>VB​=VC​ Where VA​,VB​ and VC​ represent the electric potentials at the points A, B and C respectively.