The magnitude of the induced voltage in the coil is 0.25 V. The induced emf will be strong enough to counteract the underlying voltage shift.
Lentz's Law states that a coil will create or induce a back emf of V if a voltage of V is applied to it when it is not carrying any current. The same holds true if a coil is already carrying current; the back emf will then adapt to any applicable change in voltage (V) for the same reason. The voltage in inductors can be discontinuous, but the current is always a continuous function of time.
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