Chapter 3, Problem 3.17P

At $t=t_0$ the voltage across a certain capacitance is zero. A pulse of current flows through the capacitance between $t_0$ and $t_0+\Delta t$ , and the voltage across the capacitance increases to $V_f$. What can you say about the peak amplitude and area under the pulse waveform (i e current versus time)? What are the units and physical significance of the area under the pulse What must happen to the peak amplitude and area under the pulse as $\Delta t$ approaches zero, assuming that $V_f$ remains the same?