what is a nonconservative electric field.
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Why is an induced electric field not conservative?
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Eli Pasternak, MsEE BsEE, 28 patents, EM fields, comm theory, quantum mechanics, relativity
Answered Mar 7
Consider using an evenly ramping magnetic field that induces a static electric field in a circle surrounding that magnetic field. Now a positive charge is pushed along this circle against the electric field. The device pushing the charge made work while the charge moved in a close loop. This is a non-conserving closed loop since work was lost. The charge could also move with the field, pulling a load. In that case energy was extracted from the closed loop. That’s also a non-conserving field.
The mathematically generalized non-conserving vector field is described by a rotor operation. Non-zero rotor of the field means it is non conserving.
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Eli Pasternak, MsEE BsEE, 28 patents, EM fields, comm theory, quantum mechanics, relativity
Answered Mar 7
Consider using an evenly ramping magnetic field that induces a static electric field in a circle surrounding that magnetic field. Now a positive charge is pushed along this circle against the electric field. The device pushing the charge made work while the charge moved in a close loop. This is a non-conserving closed loop since work was lost. The charge could also move with the field, pulling a load. In that case energy was extracted from the closed loop. That’s also a non-conserving field.
The mathematically generalized non-conserving vector field is described by a rotor operation. Non-zero rotor of the field means it is non conserving.
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