A unity negative feedback system has an open loop transfer function k G₂ s(s+10) for the system to have a damping ratio of 0.25 the value of k must be Select one: O O O O a. non of the choices b. 200 c. 10 d. 100 e. 400

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1. For the unity feedback system of Figure P1, find the range of K for stability. R(s) K s(s+7)(s +11) C(s) Figure P1

68. A negative voltage feedback amplifier has voltage gain without feedback, A, = 1000 and feedback fraction m = 0.01. If the lower cutt-off frequency f₁ = 1.5 kHz and upper cut-off frequency f₂ = 501.5 kHz before feedback, what is the value of lower cutt- off frequency after negative feedback? (i) 1.5 kHz (ii) 272.8 Hz (iii) 136.4 Hz (iv) 3 kHz 69. In Q 68, what is the value of upper cut-off frequency after negative feedback? (1) 501.5 kHz (iii) 2006 kHz (ii) 1003 kHz (iv) 5.52 MHz

Suppose that one design specification for a feedback control system requires that the percent overshoot to a step input be less than 10%. The corresponding specification in the frequency domain is Select one: O a. Mp ≤ 0.55 O b. Mp 1.05 C. Mp ≤ 1.27 O d. Mp ≤ 0.59

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10- A unity feedback system has open-loop transfer function G(s)=2/ (S+4), the ratio of time constants of open-loop to closed loop response will be: a- 1:1 b-2:1 c- 3:2 d-2:3 11-First column elements of the Routh's tabulation are 3, 5,-0.75, 0.5,2. It means that there: a- is one root in the left half of s-plane b- are two roots in the left half of s-plane c- are two roots in the right half of s-plane d- is one root in the right half of s-plane 12-An effect of phase-lag compensation on system performance is that: a-for a given relative stability, the velocity error constant is increased b- for a given relative stability, the velocity error constant is decreased c- the bandwidth of the system is increased d- the time response is made faster 13-The phase lead compensation is used to: a- increase rise time and decrease overshoot b- decrease both rise time and overshoot c- increase both rise time and overshoot d-decrease rise time and increase overshoot 14-When phase-lag compensation is…

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