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Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to...
b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b)...
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
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. ...
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig. P16.2(a) illustrates the square wave; Fig. P16.2(b) illustrates the full-wave rectified sine wave, where u(t)-Yn sin(π/T), 0 t s T; and Fig. P16.2(c) illustrates the half-wave rectified sine wave, where Figure P16.2 v(t) 2T 3T rt v(0) 2T 3T v(t) nt T/2 T 3T/2
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig....
(5) Capacitor and Transient Analysis 7 marks Fig. P-5A shows a switching circuit with switches Si...
(5) Capacitor and Transient Analysis 7 marks Fig. P-5A shows a switching circuit with switches Si and S2 that are opened and closed periodically. Fig. P-5B shows the steady state waveform of the output voltage V.(t). Compute the steady state values of V1 and V2. R: Vo(t) Vo(t) Vot 5V V2 --- -- 1kΩ 1uF C Vi Ve 5V Fig. P-5A Fig. P-5B (not to scale) (5a) 3 marks Let the initial voltage of the capacitor be V.(O)= V1. The...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t)0 for t<0. Aft...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t)0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C-150 HF. We will call the voltage across the capacitor and the resistor Ve(t and Vr(t) respectively (a) Calculate the current I(t) in the circuit, the voltage Vc(t), and the power delivered by the driving source as a function of time for the...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t) 0 for t<0. A...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t) 0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C 150 HF. We will call the voltage across the capacitor and the resistor Ve(t) and Vr(t) respectively (c) The capacitor above is now replaced by an inductor whose inductance is 0.24 H. We call the voltage across the inductor VL(t) Calculate...
16.34 The periodic current shown in Fig. P16.34 is applied to a 1 kΩ resistor. a) Use the first t...
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...
7. A periodic triangular-wave voltage source (t)is applied to an RLC circuit (both are shown below)....
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
Determine the Fourier series expressions for the periodic voltage functions for the full wave rectified sine...
Determine the Fourier series expressions for the periodic voltage functions for the full wave rectified sine wave shown in Figure b and the half wave rectified sine wave shown in Figure c. v(t) 0 2T 3T -T
1. Consider the triangular voltage wave form applied to an electrical circuit shown below. /a I...
1. Consider the triangular voltage wave form applied to an electrical circuit shown below. /a I Derive the Fourier series for the above waveform Write down the amplitude of the fundamental, first harmonic and second harmonic componen ts Calculate the THD value for the above waveform
Question 12 If the battery voltage is 3 V and a square wave with voltage levels...
Question 12 If the battery voltage is 3 V and a square wave with voltage levels of +8 V and -8 V is applied to this circuit, what will be the output voltages levels? + Vout -13 V and 3 V O - 19 V and -3 V 3 V and 19 V -3 V and 13 V
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
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig. P16.2(a) illustrates the square wave; Fig. P16.2(b) illustrates the full-wave rectified sine wave, where u(t)-Yn sin(π/T), 0 t s T; and Fig. P16.2(c) illustrates the half-wave rectified sine wave, where Figure P16.2 v(t) 2T 3T rt v(0) 2T 3T v(t) nt T/2 T 3T/2
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig....
(5) Capacitor and Transient Analysis 7 marks Fig. P-5A shows a switching circuit with switches Si and S2 that are opened and closed periodically. Fig. P-5B shows the steady state waveform of the output voltage V.(t). Compute the steady state values of V1 and V2. R: Vo(t) Vo(t) Vot 5V V2 --- -- 1kΩ 1uF C Vi Ve 5V Fig. P-5A Fig. P-5B (not to scale) (5a) 3 marks Let the initial voltage of the capacitor be V.(O)= V1. The...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t)0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C-150 HF. We will call the voltage across the capacitor and the resistor Ve(t and Vr(t) respectively (a) Calculate the current I(t) in the circuit, the voltage Vc(t), and the power delivered by the driving source as a function of time for the...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t) 0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C 150 HF. We will call the voltage across the capacitor and the resistor Ve(t) and Vr(t) respectively (c) The capacitor above is now replaced by an inductor whose inductance is 0.24 H. We call the voltage across the inductor VL(t) Calculate...
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...
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
Determine the Fourier series expressions for the periodic voltage functions for the full wave rectified sine wave shown in Figure b and the half wave rectified sine wave shown in Figure c. v(t) 0 2T 3T -T
1. Consider the triangular voltage wave form applied to an electrical circuit shown below. /a I Derive the Fourier series for the above waveform Write down the amplitude of the fundamental, first harmonic and second harmonic componen ts Calculate the THD value for the above waveform
Question 12 If the battery voltage is 3 V and a square wave with voltage levels of +8 V and -8 V is applied to this circuit, what will be the output voltages levels? + Vout -13 V and 3 V O - 19 V and -3 V 3 V and 19 V -3 V and 13 V
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