Anti-phase emf. Do not understand why?

Question

Electronics

This figure indicates that the self-induction EMF is in antiphase of the voltage on the coil. Then it turns out that the total voltage is zero? This means that no current can flow through the coil.

One more question. Why is the sine wave out of phase with the voltage? In fact, the coil is the same ordinary conductor. Initially, as in any conductor, an alternating current flows through it, coinciding in phase with the voltage. Due to the change in time of the current, in theory, the EMF of self-induction should appear, shifted with respect to the initial voltage and current, and not vice versa ..

Answer 1

Why is the sine wave out of phase with the voltage?

Let's draw an analogy in mechanics. Take a cart loaded with something heavy.

spoiler

Let's say 30 kg of load (this is inductance). She is standing on a flat floor. You apply a force (U) to it, but it doesn't want to move. You increase the force and the cart moves. You apply the same force, but the speed (I) increases, you decrease the force, but the speed still increases (weird, right?), you decrease the force to zero, and now the speed remains constant (the point on the graph when U= 0, I=max), now to reduce the speed of the cart, you need to apply a "negative" force, you apply it, but the cart continues to move in the "positive" direction, albeit more slowly...

Answer 2

..... that the EMF of self-induction is in antiphase of the voltage on the coil. Then it turns out that the total voltage is zero? This means that no current can flow through the coil.

The self-induction emf minimizes not the current through the coil, but the changes in this current .
From current deltas - you can go to the derivative of the current, which will lead to a 90 ° phase shift for harmonic (sinusoidal) currents and voltages.

Answer 3

why the current in the coil is shifted relative to the voltage applied to it is explained in the course of school physics as simply and accessible as possible. why the antiphase emf is induced seems to be explained at the same time, but perhaps not. one fig there is a huge number of books.
you demand that you copy-paste it here??