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Consider the circuit shown in Figure P4.50. The initial current m the inductor is
Figure P4.50
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- The initial capacitor voltage is 4 V. Switch S1 is closed at t = 0. The charge (in micro C) lost by the capacitor form t = 25 microS to t = 100 microS is:1) 6.992) 8.713) 5.554) 10Please show detailed steps and workarrow_forwardConsider the circuit shown in Figure P4.70. a. Write the differential equation for v(t). b. Find the damping coefficient, the natural frequency, and the form of the complementary solution. c. Usually, for a sinusoidal forcing function, we try a particular solution of the form v p ( t)=A cos( 10 4 t )+B sin( 10 4 t ). Why doesn’t that work in this case? d. Find the particular solution. [Hint: Try a particular solution of the form v p ( t)=At cos( 10 4 t )+B t sin( 10 4 t ). ] e. Find the complete solution for v(t).arrow_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_forward
- We 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_forward4.4 25 25. A capacitor (0.02 F) is charged to 1 V and then connected in series with an inductor (10 H) and a resistor (40 S2). Ini- tially, there is no current in the circuit. Find the amplitude, frequency, and phase of the charge on the capacitor and plot its graph.arrow_forward6 If the current through a 16-uH inductor is zero at t = 0 and the voltage across the inductor (shown in Figure P4.16) is t 20 us ()la 1.2 nV determine the current through the inductor at t = 30 us. ) (nV) 1.2 20 40 t (us) Figure P4.16arrow_forward
- The circuit shown consists of four capacitors, an ideal battery of emf &, a switch 'S' and an inductor of inductance L. The switch Sis kept open for a long time. Find the maximum current through the inductor after the switch 'S' is closed. 2C 4C C S 8 3C =8arrow_forwardP4.44. What are the steps in solving a circuit having a resistance, a source, and an inductance (or capacitance)? *P4.45.) Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form ip(t) =Ae-!] %3D 10 H 5et i(t) 5Ω Figure P4.45 P14arrow_forwardP4.45.) Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form ip (t) = Ae- ]with out Lapluce t = 0 10 H i(t) 5e Figure P4.45arrow_forward
- 3 Determine the voltage across the inductor in the circuit shown in Figure P4.63. 3 mH Vz(f) Vs(f) = 24 cos(1,000?) E wwarrow_forwardGiven circuit below, use superposition to find voltage across the capacitor, vclt). Frequency is 100 Hz. 6kn 4kn reee zkn O SmA <45 Vc (t) DC a) Given circuit below and switch ciosed for long time, what is the value of Vc? 5mA 3 luk bị At0, switch is opened. Write a mathematical expression for Velt) after opening of the switch. Evaluate this voltage at te10 ms. Attach File Browse Local Fies rowie Conent Cotection 74°Farrow_forwardTitle Find the capacitor voltage in the network shown in Figure P4.2 if the switch closes at t = 0. Assume Description Find the capacitor voltage in the network shown in Figure P4.2 if the switch closes at t = 0. Assume zero initial conditions. Also find the time constant, rise time, and settling time for the capacitor voltage. /=0) W 1.802 0.79 F FIGURE P4.2 Plot the step response for Problem 4 using MATLAB. From your plots, find the time constant, rise time, and settling timearrow_forward
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