The grid represents a region in space containing a uniform electric field ( each square of size 1m×1m ) . If potentials at point O , A , B , C , D , E , F , G , H are respectively 0 , − 1 , − 2 , 1 , 2 , 0 , − 1 , 1 and 0 volts. find the electric field intensity.

Question

The grid represents a region in space containing a uniform electric field ( each square of size 1m×1m ) . If potentials at point O , A , B , C , D , E , F , G , H are respectively 0 , − 1 , − 2 , 1 , 2 , 0 , − 1 , 1 and 0 volts. find the electric field intensity., i ^ + j ^ V / m, i ^ − j ^ V / m, − i ^ + j ^ V / m, − i ^ + j ^ V / m

MARKS App · Accepted Answer

OEH is an equipotential surface, the uniform electric field must be perpendicular to it pointing from higher to lower potential as shown. Hence E = ( i ^ – j ^ 2 ) E= (v E –v B ) EB = 0–(–2) 2 = 2 ∴ E → = 2 ( i ^ – j ^ ) 2 = i ^ – j ^

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