Antenna Parallel to High Voltage Line Has AC Current - Is It Acting as an Inductor?
It's a capacitor, not an inductor. You have something like this:







simulate this circuit &ndash; Schematic created using CircuitLab

Remember, any two conductors can make a capacitor. Your gutter has some capacitance to ground (C2), and some to the HV line (C1). The two make a capacitive voltage divider, and if the gutter isn't otherwise connected to something else providing a lower impedance to 60 Hz than those capacitors, you will see some voltage, relative to ground, on your gutter.