Question Solved1 Answer Determine the frequency bandwidth in hertz, the low cutoff frequency, and the high cutoff frequency of a first-order thermal sensor having a time constant of 0.10 s when subjected to the sinusoidal temperature variation, T(t) = 20 sin ωt ∘C. Please Determine ALL including frequency bandwidth in Hertz, low cutoff frequency, and high cutoff frequency.

F56QSK The Asker · Mechanical Engineering

Determine the frequency bandwidth in hertz, the low cutoff frequency, and the high cutoff frequency of a first-order thermal sensor having a time constant of 0.10 s when subjected to the sinusoidal temperature variation, T(t) = 20 sin ωt ∘C.

Please Determine ALL including frequency bandwidth in Hertz, low cutoff frequency, and high cutoff frequency.

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Sol.Given, Time constant =0.10secGeneral firstorder equation is: .H(S)=(K)/(Ts+1).Now, T=0.10.{:[H(s)=(K)/(0.15+1);","S=j omega],[H(j omega)=(K)/((0.1)(j omega)+1)=(K)/(j(0.1 omega)+1).]:}For f_(L) and f_(H).{:[H(j omega)|_(f=f_(L)sigma)f=f_(H)=(K)/(sqrt2).],[" So, "quad(0.1 omega)^(2)+(1)^(2)=(sqrt2)^(2)],[0.01omega^(2)+1=2],[0.01omega^(2)=1". "],[omega^(2)=100],[omega=+-10rad//sec". "]:}So, {:[ ... See the full answer