Section 18.4 Circuit Applications

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Section 18.4 Circuit Applications

18.36 The transfer function of a circuit is

$$H(\omega) = \frac{10}{j\omega + 2}$$

If the input signal to the circuit is vs(t) = e⁻4*^t u*(t) V, find the output signal. Assume all initial conditions are zero.

18.37 Find the transfer function Io(ω)∕Is(ω) for the circuit in Fig. 18.39.

Figure 18.40 For Prob. 18.38.

Problems 847

18.39 Given the circuit in Fig. 18.41, with its excitation, determine the Fourier transform of i(t).

For Prob. 18.39.

18.40 Determine the current i(t) in the circuit of Fig. 18.42(b), given the voltage source shown in Fig. 18.42(a).

Figure 18.42

For Prob. 18.40.

18.41 Determine the Fourier transform of v(t) in the circuit shown in Fig. 18.43.

Figure 18.43 For Prob. 18.41.

(a) Let i(t) = sgn(t) A. (b) Let i(t) = 4[u(t) − u(t − 1)] A.

Figure 18.44

For Prob. 18.42.

18.43 Find vo(t) in the circuit of Fig. 18.45, where is = 5e^−t u(t) A.

Figure 18.45

For Prob. 18.43.

18.44 If the rectangular pulse in Fig. 18.46(a) is applied to the circuit in Fig. 18.46(b), find vo at t = 1 s.

For Prob. 18.44.

18.45 Use the Fourier transform to find i(t) in the circuit of Fig. 18.47 if vs(t) = 10e⁻2*^t u*(t).

Figure 18.47 For Prob. 18.45.

For Prob. 18.46.

18.46 Determine the Fourier transform of io(t) in the circuit of Fig. 18.48.

18.47 Find the voltage vo(t) in the circuit of Fig. 18.49. Let is(t) = 8e^−t u(t) A.

Figure 18.49

For Prob. 18.47.

18.48 Find io(t) in the op amp circuit of Fig. 18.50.

Figure 18.50 For Prob. 18.48.

18.49 Use the Fourier transform method to obtain vo(t) in the circuit of Fig. 18.51.

For Prob. 18.49.

18.50 Determine vo(t) in the transformer circuit of Fig. 18.52.

For Prob. 18.50.

18.51 Find the energy dissipated by the resistor in the circuit of Fig. 18.53.

Figure 18.53

For Prob. 18.51.