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For given vec(E)=2x hat(i)+3yhat(j), fin...

For given `vec(E)=2x hat(i)+3yhat(j)`, find the potential at (x, y) if V at origin is 5 volts.

Text Solution

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`int_5^vdV=-intvecE.vec(d)r=-int_0^xE_xdx-int_0^yE_ydy`
`impliesV-5 =-(2x^(2))/(2)-(3y^2)/(2)`
`impliesV =-(2x^(2))/(2)-(3y^2)/(2)+5`
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