Say, you have a parallel plate ideal capacitor and you choose a rectangular path, one side of which lies inside the region of electric field and the side parallel to that lies outside it.(adsbygoogle = window.adsbygoogle || []).push({});

The other two sides are obviously perpendicular to the field.

If I take this rectangular path then how is the line integral along this path zero. Because it is positive for one path and zero for three others.

What is wrong here?

The line integral must be zero for conservation of energy.

spacetime

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# Capacitor and energy conservation

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