Find the work done during the transport of 5µC load from point P1 (1,2) to P2(-2,8) along the parabola y=2x² in the area E = yx ̂ + xy ̂ ?

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Author:Robert L. Boylestad
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Find the work done during the transport of 5µC load from point P1 (1,2) to P2(-2,8) along the parabola y=2x² in the area E = yx ̂ + xy ̂ ?

Expert Solution
Step 1

the expression for amount of work done while moving charge from point p1 to p2 in the electric field E

W=-qP1P2Edl

 

Step 2

here, 

the parabole equation 

y=2x2dydx=ddx(2x2)dy = 4x dx

and 

Edl = y dx + x dysubstitute the valueEdl = 2x2dx + x(4xdx)  = 6x2dx

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