A displacement current of \( 4.0 \, \text{A} \) can be set up in the space between two parallel plates of \( 6 \, \mu \text{F} \) capacitor. The rate of change of potential difference across the plates of the capacitor is nearly \( \alpha \times 10^{6} \) \( \text{V/s} \). The value of \( \alpha \) is ____.
