# Natural and forced response

Circuits with energy storage elements (capacitors and inductors) change over time. The *natural response* is what the circuit does when it has interally stored energy and there are no outside signals connected. When you connect an external signal to a circuit, the behavior is called the *forced response*.

A capacitor integrates current

Capacitor i-v equation in action

RC natural response - intuition

RC natural response - derivation

RC step response - setup (1 of 3)

RC step response - solve (2 of 3)

RC step response - example (3 of 3)

Sketching RC exponentials - examples

LC natural response - intuition (1 of 2)

LC natural response - intuition (2 of 2)

LC natural response - derivation (1 of 4)

LC natural response - derivation (2 of 4)

LC natural response - derivation (3 of 4)