Introduction:
Inductance refers to the property of a circuit element (typically a coil) that opposes changes in current flowing through it. It is measured in henries (H) and is denoted by the symbol L. When the current through an inductor changes, it induces a voltage across its terminals in the opposite direction, which opposes the change in current. This opposition to the growth of current is known as self-induced electromotive force (emf).

Explanation:
The opposition to the growth of current in inductance is primarily due to self-induced electromotive force (emf). This can be explained by Faraday's law of electromagnetic induction, which states that a change in the magnetic field through a coil of wire induces an emf across the coil. When the current through an inductor changes, it creates a changing magnetic field around the inductor. According to Faraday's law, this changing magnetic field induces an emf across the inductor in the opposite direction to the change in current.

Self-induced electromotive force (emf):
The self-induced emf opposes the growth of current by creating a voltage that counteracts the applied voltage or potential difference across the inductor. This is known as the back emf. The self-induced emf is directly proportional to the rate of change of current and the inductance of the coil. Mathematically, it can be expressed as:

\(\varepsilon = -L \frac{{di}}{{dt}}\)

where:
ε is the self-induced emf,
L is the inductance of the coil, and
\(\frac{{di}}{{dt}}\) is the rate of change of current.

Thus, the self-induced emf acts as an opposition to the growth of current in the circuit.

Obstruction to the path of charges:
While obstruction to the path of charges can also hinder the flow of current, it is not the primary reason for the opposition to the growth of current in inductance. The obstruction to the path of charges is typically associated with resistance, which is a separate property of a circuit element. In an inductor, the primary opposition to the growth of current is due to the self-induced emf, rather than obstruction to the path of charges.

Conclusion:
In conclusion, the opposition to the growth of current in inductance is primarily due to the self-induced electromotive force (emf). This self-induced emf, which is induced by the changing magnetic field created by the changing current, creates a voltage that counteracts the applied voltage and hinders the growth of current. Obstruction to the path of charges can also hinder the flow of current, but it is not the primary reason for the opposition to the growth of current in inductance.