Figure shows three points A, B and C in a region of uniform electric field E . The line A B is perpendicular and B C is parallel to the field lines. Then, which of the following holds good ? (V_ A , V_ B . and V_ C represent the electric potential at points A, B and C , respectively)

Step-by-step solution

According to given figure, line A B is perpendicular to direction of electric field lines. Hence, surface passing through line A B and perpendicular to electric field lines behaves like a equipotential surface, therefore V_ A =V_ B ...(i) Electric field and electric potential are related as E=- d V d x V=- E d x Which indicates that electric potential decreases in the direction of electric field, i.e. V_ B >V_ C ...(ii) From Eqs. (i) and (ii), we have V_ A =V_ B >V_ C