![3. [25 pts.] The periodic voltage source in the circuit below has the following waveform (a) Derive the expression for Ca, co](http://img.homeworklib.com/questions/6e4b0fc0-5d4a-11eb-9392-370f682d5763.png?x-oss-process=image/resize,w_560)
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3. [25 pts.] The periodic voltage source in the circuit...
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co,...
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co, C1, C1, C 2, C2, C3, C3, C4, and C4 for the input voltage vg, if V,-54 V and T-10π us c) Repeat b) for Vo. d) Use the complex coefficients found in c) to estimate the average power delivered to the 250...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the followi...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b) The signal waveform of Figure P2.1-10(a) (c) The signal waveform of Figure P2.1-10(f) 2.10-4 Using the FFT method, repeat Problem 2.10-3. e P2.1-5 g (t) -6 4 -8
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b)...
Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to...
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 120 V rms voltage source with f = 30 Hz drives an RLC series circuit...
A 120 V rms voltage source with f = 30 Hz drives an RLC series circuit with a L=870 μH What is the capacitance which will produce the maximum current through the circuit? Select one: a. 32 mF b. 8.1 mF c. 230 μF230 μF d. 0.23 F
For the following LRC circuit with periodic electric source v(t), find the steady-periodic current in the...
For the following LRC circuit with periodic electric source v(t), find the steady-periodic current in the form isp(t) = I0 sin(ωt − δ), where I0 > 0 and 0 ≤ δ < 2π. (Round numerical values to two decimal places.) R = 20, L = 10, C = 0.01, v(t) = 800 cos(5t)
2- A circuit across the terminals of a sinusoidal voltage source, as shown in Figure 2....
2- A circuit across the terminals of a sinusoidal voltage source, as shown in Figure 2. The steady-state expression for the source voltage is v;=50.cos(1000t+20). (40 points) 12 mH 100 MF 10 Figure 2 a) Construct the frequency-domain equivalent circuit. b) Calculate the steady-state current i by the phasor method.
10. The operational amplifier in the circuit shown below is ideal. The voltage of the ideal...
10. The operational amplifier in the circuit shown below is ideal. The voltage of the ideal sinusoidal source is y(t) = 30cos(106t) V 10 nF How small can Co be before the steady- state output voltage no longer has a pure sinusoidal waveform? a) 100 Ω b) For the value of Co found in (a), write the steady-state expression for vo(t) ↓ 25Ω Co 2,0 100Ω
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
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
For the circuit below, the AC voltage source has the form e = 20 V *...
For the circuit below, the AC voltage source has the form e = 20 V * Cos(500t + 0) (Where 20 V is the maximum Voltage) a) Find the total complex impedance of the circuit (Hint: it should have the form Z = a+bj, determine a and b) b) Now write the impedance in polar form (Hint: it should now have the form Z =Zeøj). c) Find the amplitude of the current through each component. R1 = 512 w R2...
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co, C1, C1, C 2, C2, C3, C3, C4, and C4 for the input voltage vg, if V,-54 V and T-10π us c) Repeat b) for Vo. d) Use the complex coefficients found in c) to estimate the average power delivered to the 250...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b) The signal waveform of Figure P2.1-10(a) (c) The signal waveform of Figure P2.1-10(f) 2.10-4 Using the FFT method, repeat Problem 2.10-3. e P2.1-5 g (t) -6 4 -8
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b)...
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
2- A circuit across the terminals of a sinusoidal voltage source, as shown in Figure 2. The steady-state expression for the source voltage is v;=50.cos(1000t+20). (40 points) 12 mH 100 MF 10 Figure 2 a) Construct the frequency-domain equivalent circuit. b) Calculate the steady-state current i by the phasor method.
10. The operational amplifier in the circuit shown below is ideal. The voltage of the ideal sinusoidal source is y(t) = 30cos(106t) V 10 nF How small can Co be before the steady- state output voltage no longer has a pure sinusoidal waveform? a) 100 Ω b) For the value of Co found in (a), write the steady-state expression for vo(t) ↓ 25Ω Co 2,0 100Ω
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
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
For the circuit below, the AC voltage source has the form e = 20 V * Cos(500t + 0) (Where 20 V is the maximum Voltage) a) Find the total complex impedance of the circuit (Hint: it should have the form Z = a+bj, determine a and b) b) Now write the impedance in polar form (Hint: it should now have the form Z =Zeøj). c) Find the amplitude of the current through each component. R1 = 512 w R2...
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