An electric field `E = (20hati + 30 hatj)` N/C exists in the space. If thepotential at the origin is taken be zero, find the potential at `(2 m, 2 m)`.

An electric field `E = (20hati + 30 hatj)` N/C exists in the space. If

1.	An electric field `E = (20hati + 30 hatj)` N/C exists in the space. If thepotential at the origin is taken be zero, find the potential at `(2 m, 2 m)`.
Answer» `V_(1,2)-V_(0 ,0) = - int _(0,0)^(1,2) vec(E ) . d vec( r)` `= - int_(0,0)^(1,2) (E_(x)dx + E_(y) dy)` `= -[int_(0)^(1) E_(x) dx + int_(0)^(2) E_(y) dy]` `= [ int_(0)^(1) 10 dx + int _(0)^(2) 20 dy]` `= [ 10\|x\|_(0)^(1) + 20\|y\|_(0)^(2) ]` `= -[10 (1 - 0) + 20(2 - 0)] = -30` `V_(1,2) - 0 = -30 ` `V_(1,2) = -30` volt

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An electric field `E = (20hati + 30 hatj)` N/C exists in the space. If thepotential at the origin is taken be zero, find the potential at `(2 m, 2 m)`.

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