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An electric field is represented by vecE...

An electric field is represented by `vecE = "Ax" hati` where A = `10 (V)/(m^(2))` . Find the potential of the origin with respect to the point (10,20) m.

Text Solution

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Here `vecE = "Ax" hati= 10 x hati`
coordinates of origin = (0,0) m
Suppose corrdinates P in the field = (10,20) m
`V(0,0) - V(10,20) = - int_(((10,20)))^(((0,0)))vecE.vec(d)r`
=- `int_(((10,20)))^(((0,0))) 10x hati . ( dx hati+ dy hatj)`
`:. V(0,0)= -int_(10)^(0) 10 x.dx [ because V(10, 20) =0]`
`=-10 [(x^(2))/(2)]_(10)^(0)`
`:. V(0,0) = 500 V `
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