An electric field of 10 N/C exists along the x-axis in space. Calculate the potential difference `V_(B)-V_(A)` where the points A and B are given by -
(a) A = (0, 0), B = (8m, 3m), (b) A = (8m, 3m) , B = (12m, 6m)
(c) A = (0, 0) , B = (12m, 6m)

Explanation

Electric field in x- axis means `vec(E)=10 hat(i)`

`{:((a),|DeltaV_(AB)|=vec(E).vec(d)=10 hat(i). 8hat(i)=80 V,implies,V_(B)-V_(A)=-80 V),((b),|DeltaV_(BC)|=vec(E).vec(d)=10 hat(i). 4hat(i)=40" volt",implies,V_(C)-V_(B)=-40 V),((c),|DeltaV_(AC)|=vec(E).vec(d)=10 hat(i). 12 aht(i)=120" volt",implies,V_(C)-V_(A)=-120 V):}`