87-2 Forced response to sinusoidal forcing functions The forced response The steady state response R I The u((t) has been switched into the circuit at some remote L time in the past, and the natural response has died-out completely. The forced response(steady state response)must satisfy the differentialequation L +Ri=Vm cos at nn OL cos(at-tan √R2+a2L2 R)9 i lags Us by 9=tan -I OL OL--inductance reac tance(Q R
§7-2 Forced response to sinusoidal forcing functions The forced response = The steady state response The has been switched into the circuit at some remote time in the past, and the natural response has died-out completely. (t) s The forced response(steady state response) must satisfy the differential equation. Ri V t dt di L + = m cos ( ) cos( tan ) 1 2 2 2 R L t R L V i t m − − + = i t s i L − −induc tance reac tance( ) V cos t s = m − + R i L R L i lags by s 1 tan− =