16.34 The periodic current shown in Fig. P16.34 is applied to a 1 kΩ resistor. a) Use the first t...
Problem 16.33 6 of 7 > The periodic current shown in (Figure 1) is applied to a 3.5 k2 resistor. Part A Use the first three nonzero terms in the Fourier series representation of it) to estimate the average power dissipated in the 3.5 k resistor. Express your answer to three significant figures and include the appropriate units. T: THẢ * Ea ? Value Units Figure < 1 of 1 Submit Request Answer Part B Calculate the exact value of...
Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to the circuit shown in Fig. 5b. (a) Determine the Fourier series of the periodic square-wave in Fig.5a. (b) Derive the steady-state voltage voC) as a response to the first two nonzero terms in the Fourier series that represents the v,) (20 points) v(t) 10% H 102 0 123 t (sec) -2 1 Fig. 5a Fig. 5b
5.37 The current source in the parallel RLC circuit of Fig. P5.37 is given by is (1) = [10+5 cos(100t + 30°) _ cos(200t-30°)] mA. Determine the average power dissipated in the resistor given that R = 1 kQ, L = 1 H, and C = 1 μF. h(t) Figure P5.37: Circuit for Problem 5.37. 1. Fourier series and Parseval's theorem: Problem 5.37 from the textbook. Hint:Use the complex impedances of the elements to analyze the parallel circuit, determine the...
b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b) with R=10012, L=100mH and C=1pF. The first four nonzero terms in the Fourier series is given by the following: v:(t) = 10 +2 sin(10’t)-1sin(2x10't)+sin(3x10°r) v Find the first four nonzero terms in the Fourier series of the steady-state current iſt). (20 marks) R M v.(t) Tv.(t) Figure 2(b): Circuit for Question 2
7. A periodic triangular-wave voltage source (t)is applied to an RLC circuit (both are shown below). Estimate the average power delivered to the 20 kΩ resistor when the circuit is operating in steady-state. Hint: 200 Σ nz sin 4(t) = 25 + sin(na0t) n=1 n=odd 20 mH 50 pF 20 kΩ % (V) 50 r (As) 3
1. A half wave rectifier is supplied from a 100Vms source. For a load consisting of a 60V battery fed through a 2Ω resistor as shown in Fig. I 2Ω D+ + VR() bat Fig. 1 For the rectifier shown in Fig. 1, determine (a) a time varying expression for the current flowing into the battery 70.7sine -30 25.1 154.9) (b) (c) the average power flow into the battery (574W) the average power dissipation in the resistor (617W) A half...
MULTISIM 10.65 The variable load resistor R¡ in the circuit shown in PSPICE Fig. P10.65 is adjusted for maximum average power transfer to RL a) Find the maximum average power. b) What percentage of the average power devel- oped by the ideal voltage source is delivered to Rź when R is absorbing maximum average power? c) Test your solution by showing that the power developed by the ideal voltage source equals the power dissipated in the circuit. Figure P10.65 1212...
A sinusoidal voltage V(t) = (80.0V)sin(500t) is applied to a series RLC circuit with L= 700 mH, C = 80.0 uF and R = 90.0 12. (a) What is the impedance of the circuit in 2? (b) Find Imax (in A), o (in rad/s) and Q (in degrees) in i(t) = Imax sin(@t-0). (c) What is the ratio Pout for the resistor? (d) What is the average power dissipated by the resistor in W? (e) What is the resonant frequency...
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2 For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
a. For the circuit shown in Fig. 1, find i(t) and vi(t) for all t. b. For the circuit shown in Fig. 2, find vclt) and ic(t) for all t. 10 kΩ 20 kΩ ic 10 mH 18 V 100u(-1) V 40u(C) V F, 13 a. For the circuit shown in Fig. 1, find i(t) and vi(t) for all t. b. For the circuit shown in Fig. 2, find vclt) and ic(t) for all t. 10 kΩ 20 kΩ ic...