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An electric field E=(20i ^ + 30j ^ ) N/C exists in space. If electric potential at origin is taken to be 50 V, then electric potential at (2m,2m) is?

An electric field E=(20i^ + 30j^) N/C exists in space. If electric potential at origin is taken to be 50 V, then electric potential at (2m,2m) is?

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
Change in potential = - integral (vector E dot vector dl), dl is length element 
So V-0 = -vector E dot integral(vector dl) from (0,0) to (2,2) 

V= -(20i ̂+30j ̂ ) . {(2,2)-(0,0)} 
V= -(20,30) . (2,2) 
V= -(40+60) 
V= -100V
 
Regards
Arun

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