Chapter 1, Problem 25P

A voltage source given by

${\upsilon }_s\left(t\right)=25\cos \left(2\pi \times {10}^{3}t-30°\right)\left(\text{V}\right)$

is connected to a series RC load as shown in Fig. 1-20. If R = 1 MΩ and C = 200 pF, obtain an expression for ${\upsilon }_{\text{c}}\left(t\right)$, the voltage across the capacitor.