To address the pressing need for high-sensitivity, miniaturized electric field sensors in the short-wave communication band (3–30 MHz), this study proposes and demonstrates a radio frequency electric field quantum sensing scheme based on cesium atomic Rydberg states and the electromagnetically induced transparency (EIT) effect. The scheme employs an all-infrared optical design, utilizing 852 nm probe light, 1470 nm dressing light, and 780 nm coupling light to efficiently prepare the 49P₃/₂ Rydberg state in a room-temperature cesium vapor cell, which is then probed non-destructively via ladder-type four-level EIT spectroscopy. The 10 MHz RF field is non-resonant with adjacent Rydberg atomic energy levels, this work innovatively utilizes the AC Stark shift effect as the sensing mechanism. Real-time monitoring of the spectral shift of the Rydberg-EIT peak with the applied electric field strength enables direct electric field metrology. The evolution of the EIT spectrum was experimentally observed under electric fields ranging from 0 to 500 V/m: at weak fields (< 20 V/m), the spectrum primarily exhibits shifting and broadening; at moderate fields (20 – 100 V/m), oscillations indicative of dissipative time crystals emerge due to multi-Rydberg-level competition; at stronger fields, spectral splitting and modulation sidebands appear. To further enhance the detection sensitivity for weak signals, a non-resonant superheterodyne detection technique was introduced. A local oscillator (LO) electric field at 10.1 MHz and the signal field at 10 MHz are simultaneously coupled into the atomic system. The atomic medium's amplified response to their beat note signal (Δω = 100 kHz) down-converts the signal of interest to a lower, more easily detectable frequency domain. Precise measurement of the beat note signal strength enables high-sensitivity demodulation of the signal electric field. Experimental results demonstrate outstanding sensing performance at 10 MHz: an electric field sensitivity of 31.0 μV/cm/Hz1/2, a dynamic range of 65 dB, and an instantaneous bandwidth of approximately 0.6 MHz. This study develops a precise electric field measurement method for the MHz frequency band based on Rydberg atoms. Its centimeter-scale sensing unit overcomes the trade-off between size and sensitivity inherent in traditional antennas, offering a new technological pathway for miniaturized, high-sensitivity electric field sensors in applications such as short-wave communication, marine, and aeronautical navigation.