Transfer Function MCQ

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• Let us assume x (t) = A cos(ωt + φ), What is the final steady state solution for y (t)? b) A|H(jω)|cos⁡ c) A|H(jω)|cos⁡ d) A|H(jω)|cos⁡
  ক

  A|H(jω)|cos⁡

  খ

  ωt+Ø+ θ (ω)

  গ

  ωt+Ø+ θ (ω)

  ঘ

  ωt+Ø+ θ (ω)
• Let us assume x (t) = A cos(ωt + φ), what is the value of k1 by considering θ (ω) is? b) A/2|H(jω)|ej c) |H(jω)|e-j d) A/2 |H(jω)|e-j
  ক

  |H(jω)|ej

  খ

  θ (ω)+Ø

  গ

  θ (ω)+Ø

  ঘ

  θ (ω)+Ø
• The relation between H (jω) and θ (ω) is?
  ক

  H(jω)=e-jθ (ω)

  খ

  H(jω)=|H(jω)|e-jθ (ω)

  গ

  H(jω)=|H(jω)|ejθ (ω)

  ঘ

  H(jω)=ejθ (ω)
• Let us assume x (t) = A cos(ωt + φ), what is the value of k1?
  ক

  1/2 H(jω)AejØ

  খ

  H(jω)Ae-jØ

  গ

  H(jω)AejØ

  ঘ

  1/2 H(jω)Ae-jØ
• Let us assume x (t) = A cos(ωt + φ), on taking the partial fractions for the response we get?
  ক

  Y(s)=k1/(s-jω)+(k1‘)/(s+jω)+Σterms generated by the poles of H(s)

  খ

  Y(s)=k1/(s+jω)+(k1‘)/(s+jω)+Σterms generated by the poles of H(s)

  গ

  Y(s)=k1/(s+jω)+(k1‘)/(s-jω)+Σterms generated by the poles of H(s)

  ঘ

  Y(s)=k1/(s-jω)+(k1‘)/(s-jω)+Σterms generated by the poles of H(s)
• Let us assume x (t) = A cos(ωt + φ), what is the s-domain expression?
  ক

  Y(s)=H(s) A(Scos Ø-ω sinØ)/(S2-ω2)

  খ

  Y(s)=H(s) A(Scos Ø+ω sinØ)/(S2+ω2)

  গ

  Y(s)=H(s) A(Scos Ø-ω sinØ)/(S2+ω2)

  ঘ

  Y(s)=H(s) A(Scos Ø+ω sinØ)/(S2-ω2)
• Let us assume x (t) = A cos(ωt + φ), then the Laplace transform of x (t) is?
  ক

  X(S)=A(Scos Ø-ω sinØ)/(S2-ω2)

  খ

  X(S)=A(Scos Ø+ω sinØ)/(S2+ω2)

  গ

  X(S)=A(Scos Ø+ω sinØ)/(S2-ω2)

  ঘ

  X(S)=A(Scos Ø-ω sinØ)/(S2+ω2)
• In the circuit shown below, if voltage across the capacitor is defined as the output signal of the circuit, then the transfer function is?
  ক

  H(s)=1/(S2 LC-RCS+1)

  খ

  H(s)=1/(S2 LC+RCS+1)

  গ

  H(s)=1/(S2 LC+RCS-1)

  ঘ

  H(s)=1/(S2 LC-RCS-1)
• In the circuit shown below, if current is defined as the response signal of the circuit, then determine the transfer function.
  ক

  H(s)=C/(S2 LC+RCS+1)

  খ

  H(s)=SC/(S2 LC-RCS+1)

  গ

  H(s)=SC/(S2 LC+RCS+1)

  ঘ

  H(s)=SC/(S2 LC+RCS-1)
• The transfer function of a system having the input as X(s) and output as Y(s) is?
  ক

  Y(s)/X(s)

  খ

  Y(s) * X(s)

  গ

  Y(s) + X(s)

  ঘ

  Y(s) – X(s)