Phase difference should be small when resonance is small because it indicates that the system is closely aligned with its natural frequency. When the forcing frequency matches the natural frequency, the phase difference between voltage and current becomes zero, signifying resonance. A swept-frequency plot of a parallel RLC circuit shows this relationship clearly, with voltage amplitude and phase difference represented distinctly. The resonant frequency in this case is 1000 Hz, emphasizing the importance of frequency alignment for minimal phase difference. Understanding this concept is crucial for analyzing circuit behavior at resonance.