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Please show the working in detail. Thank you In electrostatics, the electric field lines can't form any closed loops. However, the electric field lines in

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Please show the working in detail. Thank you

In electrostatics, the electric field lines can't form any closed loops. However, the electric field lines in electrodynamics formed closed loops, which is entirely based on Green's theorem such as relation between integral and differential forms of Maxwell equations and the energy of steady currents. Solve the following line integrals using Green's Theorem based on the above condition: a) $ (1 + x) dx - x2y dy where C consists of the arc of the parabola y = x2 from (-1,1) to (1,1). is the triangle with vertices (0,0),(1,0) and (1, 2) with b) $ xy dx + x2y3 dy where positive orientation

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