Chapter 11, Problem 27P

To determine

(a)

To write:

A MATLAB program that derives an expression for the current $i$ in terms of $R,L,v_s$ and $t$ for $0\le t\le t_{BA}$ by solving the first differential equation.

To determine

(b)

To write:

A MATLAB program that calculates the time $t_{BA}$ at voltage $5\text{ V}$ across the resistor by substituting the values of $R,L,v_s$ in the solution for $i$.

To determine

(c)

To write:

A MATLAB program that derives an expression for the current $i$ in terms of $R,L$, and $t$ for $t_{BA}\le t$ by solving the second differential equation.

To determine

(d)

To write:

A MATLAB program that make two plots (on the same page), one for $v_R$ versus $t$ for $0\le t\le t_{BA}$ and the other for $v_R$ versus $t$ for $t_{BA}\le t\le 2t_{BA}$.