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b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b)...
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
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
A sinusoidal voltage v(t) = (40 V) sin(100t) is applied to a series RLC circuit with L = 160 mH, C = 99 mu/F. and R = 68 ohm. What is the impedance of the circuit? What is the current amplitude? Determine the numerical values for I_m, and omega, and phi in the equation i(t) = I_m sin(omegst minus phi).
16.34 The periodic current shown in Fig. P16.34 is applied to a 1 kΩ resistor. a) Use the first three nonzero terms in the Fourier series representation of i(t) to estimate the aver age power dissipated in the 1 kΩ resistor. dissipated in the 1 kΩ resistor. value of the average power? b) Calculate the exact value of the average power c) What is the percentage of error in the estimated Figure P16.34 i(mA) 240 -T/2 0 Т /2 16.34...
A sinusoidal voltage Delta v = (75.0 V)sin(160 t) is applied to a series RLC circuit with L = 40.0 mH, C = 130.0 mu F, and R = 42.0 Ohm. What is the impedance of the circuit? What is the maximum current in the circuit?
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
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...
Circuit 1 Transient response of a series RLC circuit The two switches in the circuit in Figure 8 operate synchronously. When switch 1 is in position "a", switch 2 is closed. When switch 1 is in position "b", switch 2 is open. Switch 1 has been in position "a" for a very long time. At 1-0, it moves instantaneously to position 4Ω t=0 2 8Ω 100mH 150V| 2Ω 60 V Figure 8: Circuit for Tasks 3 and 4 TASK 3...
A sinusoidal voltage ?v = (85.0 V)sin(140t) is applied to a series RLC circuit with L = 60.0 mH, C = 170.0 ?F, and R = 34.0 ?. (a) What is the impedance of the circuit? ? (b) What is the maximum current in the circuit? A
1. Given i(t) Cut) Figure 2.1: Step voltage applied to a series RLC circuit. (a) Verify that the differential equation for v(t) is found as dt2 L dt LC LC (b) If v(0)-5 V and i(0)-OA. find the voltage response, u(t), for t >0 when v, 5V, R#330 n, L-100 mil, C., 0.1uF (c) Now suppose we replace the 5 V source in our circuit with a squarewave as shown below: w(t) Figure 2.2 From the response of v(t) that...