Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 7, Problem 2P
Use the differential equation approach to find
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In the network in Fig P7.12, find i0(t) for t>0 using the differential equation approach.
For the circuit given below, assuming zero initial conditions for t<0, obtain the equation giving the natural solution of the circuit and obtain the damping frequency in terms of the given ones
The switch in the circuit in fig P7.4
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Basic Engineering Circuit Analysis
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- For a function with forward path transfer function G(s)=7s2+5s+5G(s)=7s2+5s+5 , it is desired to design a PI controller with a maximum overshoot %46. Find the required damping ratio and enter it in the space given below.arrow_forwardThe switch in the circuit seen in fig. p7.52 has been in position a for a long time. At t=0, the switch moves instantaneously to the position b. For t >= 0+, find i0(t).arrow_forwardThe BJT in the circuit of Fig. P7.132 has β=100.arrow_forward
- A series RLC circuit contains a resistor R of 2 ohms and a capacitor C =1/2 farad . Determine the value of the inductor so that the circuit is critically damped .arrow_forwardGiven the RLC circuit from the image. Find a 2nd order differential equation for Vc(t)arrow_forward-Obtain v(t) in time domain for t>0 in the circuit below-What type of damping case does the circuit have?-Draw the the time reponse of the v(t) with the values indicatedon the volts and time axisarrow_forward
- The system whose characteristic equation is given as s3 + 2s2 + Ks + 20 = 0 is asymptotically stable for which K valuesarrow_forwardDetermine the validity of the second-order approximation for the function. Justify your answer. G(S) = 1/(s + 4)(S2 + 4S + 8)arrow_forwardThe RLC network below:a) Provide the second order differential equation describing this circuit b) Compute the undamped natural frequency of the circuit and the damping ratio.c) What type of response does i(t) exhibit for t > 0 ? Explain why.arrow_forward
- Find the differential equation representationarrow_forwardFor the circuit below a. what is the damping coefficient and the damping frequency? b. What kind of damping does this circuit represent? c. What is the differential equation that describes the current iL(t)?arrow_forwardAn LTI system is considered.The response of the system to x1(t) is y1(t). Then find and sketch the response of the system to x2(t) and x3(t).arrow_forward
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