Fourier Series from a Bode Plot The transfer function of a linear circuit has the straight-line gain and phase Bode plots in Figure P13–90. The first four terms in the Fourier series of a periodic input v1(t) to the circuit are v1ðtÞ ¼ 42 cosð100tÞ þ 14 cosð300tÞ þ 8:4 cosð500tÞ

þ 6 cosð700tÞ V Estimate the amplitudes and phase angles of the first four terms in the Fourier series of the steady-state output v2(t)

IT(jw)ldB 0 -12 LT(jw) 0 -27 w (rad/s) 200 400 20 40 (rad/s) 2000 4000 FIGURE P13-90