1.

Uniform electric field exists in a region and is given by vecE = E_0hati + E_0hatj. 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 electirc potential?

Answer»

`V_A=V_CgtV_B=V_D`
`V_A=V_BgtV_C=V_D`
`V_AgtV_CgtV_B=V_D`
`V_AltV_CltV_BltV_D`

SOLUTION :B. Since potential decreases along electric FIELD as `E=dVldx, V_(A)gtV_(C)` and `V_(B)gtV_(D)`. Also DUE to symmetry
`V_(A)=V_(B),V_(C)=V_(D)`
`V_(A)=V_(B)gtV_(C)=V_(D)`


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