Question

How does Poynting Theorem relate to Lenz law or vice versa?

Hypothetical: If Lenz was neglected how is Poynting Theorem effected?

Answer 1

How pointing theorem relate to lenz law or vice versa rightarrow lenz law rightarrow lenz law is a common way to understand how electromagnetic circuits obey newton's third law and conservation of energy [An induced emf gives rise to a current Whose magnetic field a passes the change in the original magnetic flux elementof = -d phi/dtr rightarrow pointing theorem rightarrow d w/dt = -d/dt integral 1/2 (epsilon_0 E^2 + B^2/N_0) d tau -1/mu_0 integral (E vector times B vector) d phi vector rightarrow s vector (pointing vector) = 1/mu_0 (E times B vector) This is work energy theorem in electromagnetics The first integral an the righta hand side is the total energy started in the fields and the \r\n second term evidently represent the rate at which energy is transferred out of v across the boundary by the electromagnetic fields This theorem says then the work done an changes by the electromagnetic force is equal to the decrease in energy remaining in the fields less the energy that flowed out through surface