Chapter 3, Problem 3.39P

A $0.1-\mu \text{F}$ capacitor has a parasitic series resistance of $10\Omega$ , as shown in Figure P3.39. Suppose that the voltage across the capacitance is $v_c\left(t\right)=10\cos \left(100t\right)$ ; find the voltage across the resistance. In this situation, to find the total voltage $v\left(t\right)=v_r\left(t\right)+v_c\left(t\right)$ to within 1 percent accuracy, is it necessary to include the parasitic resistance? Repeat it $v_c\left(t\right)=0.1\cos \left({10}^{7}t\right)$ .

Figure P3.39