Chapter 9, Problem 9P

a.

To determine

Verify Equation 9.7 $\left(i=\frac{-V_m}{\sqrt{R^2+{\omega }^2{L}^2}}\cos \left(\varphi -\theta \right)e^{-\left(R/L\right)t}+\frac{V_m}{\sqrt{R^2+{\omega }^2{L}^2}}\cos \left(\omega t+\varphi -\theta \right)\right)$ is the solution of Equation 9.6 $\left(L\frac{di}{dt}+Ri=V_m\cos \left(\omega t+\varphi \right)\right)$ and find the initial value of current at $t=0$.

b.

To determine

Verify steady-state component of Equation 9.7 satisfies Equation 9.6