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Determine the Norton equivalent network seen by the capacitor in Figure P4.71. Use the result and current division to find
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Principles and Applications of Electrical Engineering
- Determine i3(t) in the circuit shown in Figure P4.50 ifi1(t) = 141.4 cos(ωt + 2.356) mAi2(t) = 50 sin(ωt − 0.927) mAω = 377 rad/sarrow_forwardDetermine and plot as a function of time thecurrent through a component if the voltage across ithas the waveform shown in Figure P4.17 and thecomponent is aa. Resistor R = 7 b. Capacitor C = 0.5 μFc. Inductor L = 7 mHarrow_forwardFor the circuit shown in Figure (4.a): i) Find the voltage across the capacitor in polar form. ii) Draw the phasor diagram relationship of Vc and Vs. iii) Is this circuit pre-dominantly inductive or capacitive? Why? R1=1ko X = 5000 Vs= 50 [0 R2=1ko X = 5000 Figure 4.aarrow_forward
- 4.61 In the circuit shown in Figure P4.61: VS1 = 15 V Vs2 = 9 V Rs1 = 130 Q R$2 = 290 22 R₁ = 1.1 kQ2 R₂ = 700 Q L = 17 mH C = 0.35 µF Determine the voltage vc across the capacitor and the current i, through the inductor as t → ∞o. Rs1 Vsi t=0 iL LR₁ Figure P4.61 CVC R$2 с +21 ww R₂ V s2arrow_forward5 Using phasor techniques, solve for the voltage v in the circuit shown in Figure P4.55. i(t) = 10 cos 2t A 303 3 Hg 1/3 F v(t)arrow_forward4.50 Determine iz(t) in the circuit shown in Figure P4.50. Assume: i(1) = 100 cos(@t + 4) mA %3D i3(t) = 80 sin(@t – 1.2) mA - i4(1) = 150 sin(wt + 2) mA %3D W = 377 rad/s i4 Figure i3 +. Vs Z3 ZA Figure P4.50arrow_forward
- R 2 0 5e-2 cos(31) 1 H Figure P4.48 If Vg (t) = 5e-2tcos(3t) V, and iL(0-)= -0.3A. a. determine the request voltages and currents. VR(0+)= VL(0+)= İL(0+)= b. On a single graph, draw to scale the waveforms of VG(t) and VL(t). c. expression for iL(t), t>0 urgent in one hour give like handwrittenarrow_forwardWhen a switch is closed in a cirvuit containing a battery E,a resistance R and an inductance L,the current i build up at rate given by L di/dt +Ri=E.find "i" as a function "t"arrow_forwardWe know that the capacitor shown in Figure P4.11 is charged to a voltage of 10 V priorto t=0.a. Find expressions for the voltage across the capacitor vC(t) and the voltage across theresistor vR(t) for all time.b. Find an expression for the power delivered to the resistor.c. Integrate the power from t=0 to t=∞ to find the energy delivered.d. Show that the energy delivered to the resistor is equal to the energy stored in thecapacitor prior to t=0.arrow_forward
- R1 R2 Figure P4.47 8 Determine the equivalent impedance in the circuit shown in Figure P4.47: v,(t) = 636 cos (3,000t +5) 12. R = 3.3 k2 R = 22 k2 L= 1.90 H C = 6.8 nF wwarrow_forward7 Determine the equivalent impedance in the circuit shown in Figure P4.47: л v,(t) = 7 cos (3,000t +) R = 2.3 k2 R2 = 1.1 k2 %3D L = 190 mH C = 55 nF R1arrow_forwardThe initial voltage across the capacitor shown in Figure P4.3 is v C ( 0+ )=0. Find an expression for the voltage across the capacitor as a function of time, and sketch to scale versus timearrow_forward
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