Problem 4 For the circuit shown below consider Vs = 25 2 10° V: a) Compute the equivalent impedance Zeq. b) Find Is, I1, and I2. c) Draw the phasor diagram indicating magnitude and phase angle for Vs, Is, I1, and I2. d) What is the phase relationship between Vs and Is? Zeq 7kQ 3 ΚΩ elle 1₂ 4 ΚΩ
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- 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)4) Given: R = 700-N, Xc = - j 500-N, e(t) = 150 sin(wt) V Find: a) Total impedance of the ckt. b) Total current in phasor and sinusoidal form c) Voltage drop across the resistor and capacitor in phasor and sinusoidal form d) Total Power and Power factorGiven a capacitive load absorbing 5 kW with a power factor of 0.85. The source connected to this load is an AC voltage supply with 120V RMS at a frequency of 50 Hz. Please find; A) Peak current (m) and RMS Current (ms) Values B) Draw peak voltage and current phasors on phasor diagram with everything labelled C) Find the value of an inductor that when connected in parallel will improve the power factor to 0.95.
- A voltage vz(t) = 10 cos(2000zt) is applied to a 100-mH inductance. Find the complex impedance of the inductance. Find the phasor voltage and current, and construct a phasor diagram. Write the current as a function of time. Sketch the voltage and current to scale versus time. State the phase relationship between the current and voltage.2.An inductor L, is connected in series with a parallel combination of inductor L2 and capacitor C. The impedance of the circuit at w = 400 rad/sec is j100. The circuit is to yield infinite impedance at w = 1000 rad/sec and zero impedance at w = 2000 rad/sec. Solve for L1, L2 and C. W =A sinusoidal current of 5 Arms is flowing through a series combination of a resistor and Inductor. The value of R is 45 ohms and that of the inductance is 15 mH and a frequency of 60 Hz. Find the magnitude and the phase angle of the voltage across the combination. (Hint: you can use phasor diagram). Select one: a. [V]=28.89, angle=9.39 b. IV]=25.60, angle367.00 c. [V]=128.01, angle3D10.18 d. IVl=226.77, angle=D7.16
- 2-A resultant current is made of two components: a 10 A D.C. component and a sinusoidal component of maximum value 14.14. The average value of the resultant current is amperes (a) 0 (b) 24.14 (c) 10 (d) 4.14 and r.m.s. value is - amperes (e) 10 (f) 14.14 (g) 24.14 (h) 100Problem 1, Signal C Determine the complex phasor V in the form VmeI® or in the equivalent form Vm Lo where Vm the magnitude of the complex number in volts and o is the phase in degrees (not in radians). is v (t) = -5cos(wt) [V] Enter your answer for Vm in volts here, keep 3 significant digits: Question 6 Given the phasor you found for Signal C in the previous question, enter your answer for o in degrees (not in radians) here, keep 3 significant digits:18 In the circuit shown in the figure below, for what value of C will the current-I be in phase with the sinusoidal source voltage V= sin2t? Vs (1 + j1) Q (a) -F 4 (b) (c) (d) 1F /-
- SINUSADAL ALTER UATING SIDES 5CM 471t is APPUED TO A H. 5cm IS WOUND HTH 300 TU IN 3.) A SINUSODAL ALTERUATING SINUSADAL ALTERNATING VOLTAGE HAC N C.m.s VALUE OF 200 V FREQUENCY OF so Hz. IT THE ZERO AXIS IN A CROSSES POSITIVE DIRECTION KHEN t=0. DETERMINE li) THE TIME WHEN VOLTAGE FIRST REACHES THF STANTANEOUS VUE OF 2wY AND (i) THE TME HEN KOUAGE LETER PASSING THROUGH Ts MAXIMUM POSITIVE YALUE REACHES THE VALUE 11141.4 V. (0.0025 SELOND (ii) 1/300 SECOND) OF 200 SN 47 E iS APPUED TO A HW AN ALTEFNSTNG VOLTAGE SEPIES VITH A KRISTANE OF 40 2.IF THEQ5)-a)For this figure shown below the phase relationship between the sinusoidal waveform Of this set. -10sin(wt+80) V=15sin (wt+40) Q5)-b) for this circuit find the max energy if XL=100 Vm-300v,L=0.3H V= Vm SinwtSolve for the Vrms (magnitude only) across the capacitive reactance if R2 = 1058 ohms and Xc = 2351 ohms. HE ... R2 GEN V GEN : 15 Vpk-pk 20 kHz Round your answer to 2 decimal places. Add your answer