The performance of a solenoid is unaffected by a constant external magnetic field if the solenoid is fixed in place. However, if the external field varies or the solenoid is movable, the rate at which the magnetic field is established within the solenoid is altered, as described by Faraday's law. Additionally, when two identical air-core solenoids are connected in parallel with an alternating current, the current through each should remain identical. The inductance of this parallel circuit will differ from that of a single solenoid with double the length, raising questions about mutual inductance calculations. Understanding these concepts is crucial for accurate analysis of solenoid behavior in varying magnetic environments.