A displacement current flows across the gap between the plates of a capacitor whenever the charge on the capacitor

Step-by-step solution

The displacement current between the plates of a capacitor is given by I_d = ₀ d _E dt The electric flux between the plates is _E = E A = ( q ₀ A ) A = q ₀ Substituting this into the expression for displacement current, we get: I_d = ₀ d dt ( q ₀ ) = dq dt This shows that the displacement current is non-zero whenever the charge q on the capacitor changes with time. Therefore, a displacement current flows across the gap whenever the charge on the capacitor either increases or decreases.