A closed circuit consists of a source of constant emf \( E \) and a choke coil of inductance \( ...

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A closed circuit consists of a source of constant emf \( E \) and a choke coil of inductance \( L \) connected in series. The active resistance of the whole circuit is equal to \( R \). It is in steady state. At the moment \( t=0 \) the choke coil inductance was decreased abruptly 4 times. The current in the circuit as a function of time \( t \) is \( \frac{E}{R}\left[1+x e^{-4 t R L}\right] \). Find out value of \( x \).
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