More Complex Circuits using the “Step-by-step Method”

Steps for First-order Transient Analysis

• Find the initial condition.

• Find the final condition.

• Use the initial and final conditions to solve for \(K_1\) and \(K_2\).

• Find Thevenin resistance around the storage element (capacitor or inductor).

• Use Thevenin resistance to find \(\tau\).

• Write time-domain voltage or current as \(x(t)=K_1+K_2\exp(\frac{-t}{\tau})\).

Example

Write an expression for \(v\tss{OUT}(t)\) for \(t\geq 0\).

Example

Write an expression for \(v\tss{OUT}(t)\) for \(t\geq 0\).

Example

Write an expression for \(v\tss{OUT}(t)\) for \(t\geq 0\).

Example

Write an expression for \(i\tss{OUT}(t)\) for \(t\geq 0\).

Example

Write an expression for \(v\tss{O}(t)\) for \(t\geq 0\).

Example

Write an expression for \(v\tss{O}(t)\) for \(t\geq 0\).

Example

Write an expression for \(v\tss{O}(t)\) for \(t\geq 0\).

Example

Write an expression for \(v\tss{O}(t)\) for \(t\geq 0\).

Example

Write an expression for \(i\tss{O}(t)\) for \(t\geq 0\).