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In a region of space the value of electrostatic potential at each of the points (1,0,0), (0,1,0), (0,0,1) is 8 volt. The value of the electrostatic potential at the origin of coordinate (0,0,0) is 10 Volt. Find the value of electrostatic potential at point (1,1,1)

a
2 Volt
b
4 Volt
c
8 Volt
d
6 Volt

detailed solution

Correct option is B

Ex=Ey=Ey=-(8-10)1=2Now applying the relation between field intensity and potential between the points (0,0,0) and (1,1,1)dV=-E→.dr→ ⇒V-10=-(2i^+2j^+2k^).(i^+j^+k^) ⇒V=4 Volt

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