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The current through a
Determine the current through the inductor at
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Principles and Applications of Electrical Engineering
- Determine expressions for and sketch v R ( t ) to scale versus time for the circuit of Figure P4.43. The circuit is operating in steady state with the switch closed prior to t=0. Consider the time interval −1≤t≤5 ms.arrow_forwardDetermine expressions for and sketch i s ( t ) to scale versus time for −0.2≤t≤1.0 s for the circuit of Figure P4.37.arrow_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
- 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_forwardThe coil resistor in series with L models the internallosses of an inductor in the circuit of Figure P4.53.Determine the current supplied by the source ifvs(t) = Vo cos(ωt + 0)Vo = 10 V, ω = 6 M rad/s, Rs = 50 Rc = 40 L = 20 μH C = 1.25 nFarrow_forwardUse the defining law for a capacitor to find the current iC(t) corresponding to the voltage shown in Figure P4.27. Sketch your result.arrow_forward
- Determine expressions for and sketch is(t) toscale versus time for -0.2 … t … 1.0 s for thecircuit of Figure P4.37 using a differential equation.arrow_forwardThe current waveform shown in Figure P4.23 flowsthrough a 2-H inductor. Plot the inductor voltage vL(t).arrow_forwardConsider the circuit shown in Figure P4.50. The initial current in the inductor is i s ( 0+)=0. Write the differential equation for i s(t) and solve. [Hint: Try a particular solution of the form i sp ( t )=A cos( 300t )+B sin( 300t ).]arrow_forward
- The voltage across an inductor plotted as a functionof time is shown in Figure P4.14. If L = 0.75 mH,determine the current through the inductor att = 15 μs.arrow_forwardAt t=0 a charged 10{μF capacitance is connected to a voltmeter, as shown in Figure P4.5. The meter can be modeled as a resistance. At t=0 the meter reads 50 V. At t=30s, the reading is 25 V. Find the resistance of the voltmeter.arrow_forwardDue to components not shown in the figure, the circuit of Figure P4.41 has i L ( 0 )= I i . a. Write an expression for i L (t) for t≥0. b. Find an expression for the power delivered to the resistance as a function of time. c. Integrate the power delivered to the resistance from t=0 to t=∞, and show that the result is equal to the initial energy stored in the inductancearrow_forward
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