Uniform electric field exists in a region and is given by E→=E0i^+E0j^. There are four points A(−a,0), B(0,−a),C(a,0) and D(0,a) in the xy plane. Which of the following is the correct relation for the electric potential?
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a
VA=VC>VB=VD
b
VA=VB>VC=VD
c
VA>VC>VB=VD
d
VA
answer is B.
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Detailed Solution
Since potential decreases along electric field as E=−dV/dx, VA>VC and VB>VD. Also due to symmetry VA=VB, VC=VDVA=VB> VC=VD