Homework Answers
Find the Thevenin equivalent circuit for the circuit shown below. Draw the equivalent circuit along with...
Find the Thevenin equivalent circuit for the circuit shown below. Draw the equivalent circuit along with the load impedance. V 10 /0° V, w 1000 rad/s. Calculate the current through and the voltage across the load resistor. (30 pts) L1 1 mH R1 L2 500 Q 1 mH V C1 RL 100 μF 1.5 kQ
Problem 4 For the circuit in Fig. 3, frequency w a) Draw the impedance model of the circuit for a source b) Convert the...
Problem 4 For the circuit in Fig. 3, frequency w a) Draw the impedance model of the circuit for a source b) Convert the voltage lence) and redraw the impedance model; (using Thevenin and Norton equiva- Source into a current source c) Using the results from part (b), derive the expressions to determine the resonance frequency of the circuit in terms of the circuit parameters; e) We would like to have a resonance peak gain frequency of fo equal to...
62. (a) In the circuit below, suppose I,-4-M = 1 H and RL-1 ?. Assume the...
62. (a) In the circuit below, suppose I,-4-M = 1 H and RL-1 ?. Assume the dot is in position A. Suppose /1(s)- expansions followed by i2(t) and v2(t). 2s-4) s(s* +4 Compute I,(s) and V,(s). Then compute their partial fraction 2 2 L1 L2 (b) In the circuit below, L-1H, L2-2 H, M-1 H, R -20 2, R-30 2, and the dot is in position B. (i) Find the coupling coefficient, k (ii) Find the impedance seen by the...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by E = 15 V, and Is is an ac source given by is = 0.5V2 sin(2000t + 20°) A. 1) What is the phasor expression for Is? 2) Determine the sinusoidal (time domain) expression for the voltage V. Use superposition, R, = R, = R, =100 G =C, = 504F 4 = L; =5mH 65 2 - 41° V 822 402 Question 3 Write...
For the following resonant series circuit shown in fig. 1, find : - Quality factor, Q....
For the following resonant series circuit shown in fig. 1, find : - Quality factor, Q. - Bandwidth, B. - The voltage across the capacitor. - The voltage across the inductor. - The voltage across the resistor. L = 4.7 mH C = 0.001uF S R = 470 VIN-1 V Fig. 1 Resonant series circuit
Determine resonant frequency, amplitude, impedance, and phase angle. (b) Suppose the circuit parameters in a series...
Determine resonant frequency, amplitude, impedance,
and phase angle.
(b) Suppose the circuit parameters in a series RLC circuit are: L = 1.0 uH, C = 10.0 nF, R= 10092, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance. If the frequency of the input voltage source is 50 Hz, calculate the impedance and the phase angle. f = 1 / 2 x 5c = 1/2 X 511...
SC 9) (5 marks) Figure 9 represents a simple circuit in the time domain. The impedance...
SC 9) (5 marks) Figure 9 represents a simple circuit in the time domain. The impedance of a capacitor in the complex frequency domain is Z = 1 and for an inductor Z = sl. If the complex frequency describing the circuit in Fig. 9 is s = -150 +j100 s-1, determine the time domain voltage vs(t) (provided by the source) which corresponds to a frequency-domain voltage V2 = 52-250 V. i(t) 21 12 + V1 + Vs 100 mH...
Please include the MATLAB code! 1. For the circuit shown, assume that the L2 i2Ro current...
Please include the MATLAB code!
1. For the circuit shown, assume that the L2 i2Ro current source i,(t) is i,)1-e for i>0 after the switch opens at 0. Determine v,(t) and i,(t) for 1>0. Assume values: L,-1 H, L2-2 H, M = 0.5 H, R,-5 Ω . Use MATLAB to plot the voltage v(t) for 01 し1 the folowing component t>0
(a) Find the current across the resistor. (b) Find the current across the inductor. (c) What...
(a) Find the current across the resistor.
(b) Find the current across the inductor.
(c) What is the magnitude of the total current?
(d) Find the impedance of the circuit.
(e) What is the phase angle between the current and the
voltage?
Consider the parallel RL circuit shown in Figure 12.11.4 V(t) R &L Figure 12.11.4 Parallel RL circuit The AC voltage source is V(t)Vo, sin ot
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
Find the Thevenin equivalent circuit for the circuit shown below. Draw the equivalent circuit along with the load impedance. V 10 /0° V, w 1000 rad/s. Calculate the current through and the voltage across the load resistor. (30 pts) L1 1 mH R1 L2 500 Q 1 mH V C1 RL 100 μF 1.5 kQ
Problem 4 For the circuit in Fig. 3, frequency w a) Draw the impedance model of the circuit for a source b) Convert the voltage lence) and redraw the impedance model; (using Thevenin and Norton equiva- Source into a current source c) Using the results from part (b), derive the expressions to determine the resonance frequency of the circuit in terms of the circuit parameters; e) We would like to have a resonance peak gain frequency of fo equal to...
62. (a) In the circuit below, suppose I,-4-M = 1 H and RL-1 ?. Assume the dot is in position A. Suppose /1(s)- expansions followed by i2(t) and v2(t). 2s-4) s(s* +4 Compute I,(s) and V,(s). Then compute their partial fraction 2 2 L1 L2 (b) In the circuit below, L-1H, L2-2 H, M-1 H, R -20 2, R-30 2, and the dot is in position B. (i) Find the coupling coefficient, k (ii) Find the impedance seen by the...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by E = 15 V, and Is is an ac source given by is = 0.5V2 sin(2000t + 20°) A. 1) What is the phasor expression for Is? 2) Determine the sinusoidal (time domain) expression for the voltage V. Use superposition, R, = R, = R, =100 G =C, = 504F 4 = L; =5mH 65 2 - 41° V 822 402 Question 3 Write...
For the following resonant series circuit shown in fig. 1, find : - Quality factor, Q. - Bandwidth, B. - The voltage across the capacitor. - The voltage across the inductor. - The voltage across the resistor. L = 4.7 mH C = 0.001uF S R = 470 VIN-1 V Fig. 1 Resonant series circuit
Determine resonant frequency, amplitude, impedance,
and phase angle.
(b) Suppose the circuit parameters in a series RLC circuit are: L = 1.0 uH, C = 10.0 nF, R= 10092, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance. If the frequency of the input voltage source is 50 Hz, calculate the impedance and the phase angle. f = 1 / 2 x 5c = 1/2 X 511...
SC 9) (5 marks) Figure 9 represents a simple circuit in the time domain. The impedance of a capacitor in the complex frequency domain is Z = 1 and for an inductor Z = sl. If the complex frequency describing the circuit in Fig. 9 is s = -150 +j100 s-1, determine the time domain voltage vs(t) (provided by the source) which corresponds to a frequency-domain voltage V2 = 52-250 V. i(t) 21 12 + V1 + Vs 100 mH...
Please include the MATLAB code!
1. For the circuit shown, assume that the L2 i2Ro current source i,(t) is i,)1-e for i>0 after the switch opens at 0. Determine v,(t) and i,(t) for 1>0. Assume values: L,-1 H, L2-2 H, M = 0.5 H, R,-5 Ω . Use MATLAB to plot the voltage v(t) for 01 し1 the folowing component t>0
(a) Find the current across the resistor.
(b) Find the current across the inductor.
(c) What is the magnitude of the total current?
(d) Find the impedance of the circuit.
(e) What is the phase angle between the current and the
voltage?
Consider the parallel RL circuit shown in Figure 12.11.4 V(t) R &L Figure 12.11.4 Parallel RL circuit The AC voltage source is V(t)Vo, sin ot
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
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