The voltage produced in a receiving antenna is:

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When a receiving antenna picks up a radio wave, the electric field of that wave drives charges along the conductor, creating a voltage at the antenna terminals. This induced voltage is proportional to the strength of the incident field and to the antenna’s effective length, so stronger fields produce larger voltages. The mismatch between the antenna and the receiver (SWR) affects how much of that induced voltage actually appears as usable signal in the receiver (through the current delivered to the load), but it does not change the fact that the initial induced voltage scales with the received field strength. The phase relationship with current and any special conditions like a specific physical length (for example, 1/3 wavelength) do not define the basic dependence; they are about impedance and current flow, not the fundamental field-to-voltage conversion.