1. consider a parallesl RLC circuit with R = 100ohms. For an undamped natural fr

Question

1. consider a parallesl RLC circuit with R = 100ohms. For an undamped natural frequency of 10^6 rad/s what is the value of C when the circuit is critically damped?

choices are: 200nF, 200uH, 5pi nF, 5nF

2. now suppose that the value of C is reduced to one-half of the value calculated in question 1 and the inductacne is increased by a factor of two so as to maintain the same undamped natural frequency. what type of response to initial conditions will the circuit ixhibit?

choices are: undamped, underdamped, critically dampled , over damped

Explanation / Answer

apply W = R/2L

1/LC = R^2/4L^2

1/C = R^2/4L

C = 4L/R^2

C = 4*L/(100)

C = 0.04 L

so we need, L to find this

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2.
critically dampled ,

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