$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$

$RC \gt\gt \frac{T_0}{2}$

$RC \lt\lt \frac{T_0}{2}$

$0 \lt t \lt \frac{T_0}{2}$

$\Large V_C=V_m(1-e^\frac{-t}{RC})$

$V_i = V_C + V_R$

$\Large V_R=V_m\,e^\frac{-t}{RC})$