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An RL circuit includes a voltage source vs, a resistor R = 1.8O, and an inductor L = 0.4 H, as shown in the figure. The differential equation that describes the response of the circuit is
where iLis the current in the inductor. Initially iL= 0, and then at t = 0 the voltage source is changed. Determine the response of the circuit for the following three cases:
(a)
(b)
Each case corresponds to a different differential equation. The solution is the current in the inductor as a
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Chapter 9 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
- The capacitor in the figure is initially uncharged and the switch is at position c and not connected to either side of the circuit. At t = 0, the switch is flipped to position a for 20 ms, then flipped to position b for 10 ms, flipped back to position a for 20 ms again, and finally flipped to position c. Find the graph of the current through and the voltage across the capacitor as functions of time. Please draw out the graphs and label the points thank you!arrow_forwardQ2/ For the network shown in figure (Q2), the switch has been open for a long time before closing at t-0. Determine an expression for the inductor (L-20mH) current İL() for 120. 300 tso 36V iL (2othH SoonF 15A lostarrow_forwardQ2/ For the network shown in figure (Q:), the switch has been open for a long time before closing at t-0. Determine an expression for the inductor (L-20mH) current İL(t) for 120. 300 36V 12A 15A lotarrow_forward
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- A series RL circuit consisting of a single resistor a single inductor is being supplied by a 20 volt battery. The circuit is currently open and has a initial current of 0 A. The resistor has a resistance value of 100 ahms. If the current flowing through the circuit 1.5 sec after closing the circuit is 0.15 A, find the value of inductancearrow_forwardConsider an LR circuit with a resistor and capacitor. The resistor has a resistance of 10.5 ohms and the capacitor has a capacitance of 65mH. The circuit is connected to a 15 V battery and a switch. Find the current in the circuit 3.5 ms after the switch is closed.arrow_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_forward
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