Question

Consider the circuit shown in (Figure 1). Suppose that R = 35 \Omega, L = 2 H, and the source voltage is 150 sgn(t) V. Use the Fourier transform method to find $v_o(t)$. Suppose that $v_o = Ae^{-\alpha t}u(t) + B \text{sgn}(t)$. Determine the values of A, \alpha, and B. Express your answers using three significant figures separated by commas. Express A in volts, \alpha in inverse seconds, and B in volts.

          Consider the circuit shown in (Figure 1). Suppose that
R = 35 \Omega, L = 2 H, and the source voltage is 150 sgn(t) V.
Use the Fourier transform method to find $v_o(t)$. Suppose that $v_o = Ae^{-\alpha t}u(t) + B \text{sgn}(t)$. Determine the values of A, \alpha, and B.
Express your answers using three significant figures separated by commas. Express A in volts, \alpha in inverse seconds, and B in volts.

Consider the circuit shown in (Figure 1). Suppose that
R = 35 Ω, L = 2 H, and the source voltage is 150 sgn(t) V.
Use the Fourier transform method to find vo(t). Suppose that vo = Ae^-α tu(t) + B sgn(t). Determine the values of A, α, and B.
Express your answers using three significant figures separated by commas. Express A in volts, αin inverse seconds, and B in volts.

Added by Joseph M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Christopher Dzorkpata

Step 1

The Fourier transform of sgn(t) is given by: F[sgn(t)] = 2/(jω) So, the Fourier transform of 150 sgn(t) V is: F[150 sgn(t)] = 150 * F[sgn(t)] = 150 * 2/(jω) = 300/(jω) Now, let's find the Fourier transform of V0(t) = A e^(αt) + B g(t). The Fourier transform of Show more…

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Consider the circuit shown in Figure 1. Suppose that R = 35 Î©, L = 2 H, and the source voltage is 150 sgn(t) V. Part A: Use the Fourier transform method to find V0(t). Suppose that V0(t) = A e^(Î±t) + B g(t). Determine the values of A, Î±, and B. A, Î±, B = V, s^(-1), V Part B: Please draw a sketch of V0(t) versus t. Figure 1: [Insert Figure 1 here] Submit Request Answer Part B Complete previous part(s)