Calculate the current in the capacitor shown if the voltage input is a.) v(t) = 10 cos(377t – 30°) V. b.) v(t) = 12 sin(377t + 60°) V. %3D Give the answers in both time and frequency domains! i(t) D(t) +c=1µF
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- A 10.0-μF capacitor and a 2.00-H inductor are connected in series with a 60.0-Hz source whose rms output is 100 V. Finda. the rms current in the circuit.b. the voltage drop across the inductor. c. the voltage drop across the capacitor.Shown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 11.80 Volts and is running at a frequency of f = 147000 Hz. The resistor has a resistance of R = 3910 Ω, the capacitor has a capacitance of C = 4.01e-10 Farads, and the inductor has an inductance of L = 5.97e-03 Henries.Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit ?Ztot = Determine the numerical value of Ztot = ΩDetermine the numerical value of ?Ztot = degreesDetermine the current through the circuit: I(PEAK) = Amps I(RMS) = Amps Determine the voltage across the inductor: VL(PEAK) = Volts VL(RMS) = Volts Determine the voltage across the capacitor: VC(PEAK) = Volts VC(RMS) = Volts If a second circuit were connected in parallel with the resistor, this circuit would be considered as: a high-pass filtera flux capacitor a radio tunera phase…1. Obtain the signals given below from the signal generator and view these signals on the oscilloscope screen and draw them on the screen given. a) v(t) = 5*sin(314*t) b) v(t) = 3*sin(37699*t) CH1 CH1 M =.... ..... ... ..... .. ..... ...
- For a series RLC circuit with a sinusoidal input voltage, the amplitude of the current passing through the circuit (I, in mA) is plotted as a function of frequency for two cases: Curve 1 with R1, L1. and Curve 2 with R2. L2 as shown in the next figure. The value of the capacitor used in the circuits is C=0.01 micro Farads. If the value of R2 =1600 Ohm then the input voltage (in volts) is: 7.5 25 110 Frequency H2 O a. 4 O b. 16 sin(9888 t) O c. 8 O d. 8 cos(6.28 f t) O e. 8 sin (6.28 R t)Find: the maximum charged value of the capacitor during the negative half cycle. the Vout during the negative half cycle. the Vout during the positive half cycle.A stringed instrument generates a complex waveform with the following components: 250 Hz with an amplitude of 5 Pa 500 Hz with an amplitude of 3 Pa What is the fundamental frequency? What other harmonic is represented? What equation would represent this complex waveform? Calculate the amplitude values every 45° (0°, 45°, 90°, etc.). Plot the resulting points on a graph of degrees vs. pressure, and connect them to see the shape of the complex waveform.
- Shown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 9.35 Volts and is running at a frequency of f = 113000 Hz. The resistor has a resistance of R = 1980 , the capacitor has a capacitance of C = 1.08e-09 Farads, and the inductor has an inductance of L = 3.71e-03 Henries. mm Vps Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit øztot Determine the numerical value of Ztot = 2384 Determine the numerical value of @Z tot Determine the current through the circuit: ● R www I(PEAK) = I(RMS) = ● ● Determine the voltage across the inductor: • VL(PEAK) = Volts Volts VL(RMS) = Amps Amps Determine the voltage across the capacitor: Vc(PEAK) = Volts Volts Vc(RMS) = = 33.85 a capacitive switcher Ω degrees C If a second circuit were connected in parallel with the resistor, this circuit would be considered as: O a high-pass filter a radio tuner O…Assignment 2: Complex Waveforms - due Jan 24 A stringed instrument generates a complex waveform with the following components: 250 Hz with an amplitude of 5 500 Hz with an amplitude of 3 750 Hz with an amplitude of 1 What is the fundamental frequency? What other harmonics are represented? What would be the equation for this waveform? (Hint: the equation only tells us the relationship between the harmonics, and not the actual frequencies represented.) Calculate the amplitude values every 10 degrees and graph the waveform. You are welcome to do this in a spreadsheet if you know how. Please complete this assignment on graph paper and scan or digitally photograph your work.C1 L1 R1 V1 Vout V1 contains the fundamental and its harmonics (fo, 2fo, 3fo, ...). The amplitude of the harmonics is inversely proportional to the harmonic number. V(fo) = 10 mV V(2fo) = 10mv/2 = 5 mV V(3fo) = 10mv/3 = 3.33 mV V(4fo) = 10mv/4 = 2.55 mV a) What is the minimum value of Q for the circuit that will attenuate the third harmonic (3fo) in Vout to be less than 1% of the fundamental? b) What is the amplitude of the fifth harmonic (5fo) as a percentage of the fundamental?
- A current of 1A RMS 60HZ flows through a 120mH inductor. Calculate the RMS voltage drop across the inductor. 25.7V RMS O 45.2V RMS O 33.1V RMS O 18.8V RMS3. The current through a 0.5 µF capacitor is given. What is the sinusoidal expression for the voltage? a. 0.20 sin 300t b. 8 x 10-3 sin 377t c. 60 x 10-3 cos 754t d. 0.08 sin(1600t - 80°)Consider the sinusoidal voltage and current for an inductor. If you are given the phase angle of the voltage, the phase angle of the current will be:a) The same as the voltage phase angleb) 90°more than the voltage phase anglec) 90° less than the voltage phase angled) Dependent on the inductance