If I take an advertised 50 ohm impedance cable and turn it into a coil will this change its characteristic impedance from 50 ohm to something else? My intuition tells me it should as if we look at one section of the coil the inductance per unit length should be higher as we still have the wires self inductance but the magnetic field produced now interacts with the neighbouring wires and induces a current in them which resists the initial current which sounds like the inductance per unit length would be higher which would increase the characteristic impedance. Is this correct?

If I take an advertised 50 ohm impedance cable and turn it into a coil will this change its characteristic impedance from 50 ohm to something else? My intuition tells me it should as if we look at one section of the coil the inductance per unit length should be higher as we still have the wires self inductance but the magnetic field produced now interacts with the neighbouring wires and induces a current in them which resists the initial current which sounds like the inductance per unit length would be higher which would increase the characteristic impedance. Is this correct?

EDIT: For context I'm working on an RFID project which has an coil design similar to this

Essentially I'm wondering if I set my trace impedance to 50 ohm and make this coil will the characteristic impedance of the trace be altered?

If I take an advertised 50 ohm impedance cable and turn it into a coil will this change it's characteristic impedance from 50 ohm to something else? My intuition tells me it should as if we look at one section of the coil the inductance per unit length should be higher as we still have the wires self inductance but the magnetic field produced now interacts with the neighbouring wires and induces a current in them which resists the initial current which sounds like the inductance per unit length would be higher which would increase the characteristic impedance. Is this correct?

If I take an advertised 50 ohm impedance cable and turn it into a coil will this change its characteristic impedance from 50 ohm to something else? My intuition tells me it should as if we look at one section of the coil the inductance per unit length should be higher as we still have the wires self inductance but the magnetic field produced now interacts with the neighbouring wires and induces a current in them which resists the initial current which sounds like the inductance per unit length would be higher which would increase the characteristic impedance. Is this correct?