In the system whose signal flow graph is shown in the figure, U1(s) and U2(s) are inputs. The transfer function $\frac{{Y\left( s \right)}}{{{U_1}\left( s \right)}}$ is

Question

In the system whose signal flow graph is shown in the figure, U1(s) and U2(s) are inputs. The transfer function $\frac{{Y\left( s \right)}}{{{U_1}\left( s \right)}}$ is

TuteeHUB · Accepted Answer

$\frac{{{k_1}}}{{JL{s^2} - JRs - {k_1}{k_2}}}$

TuteeHUB · Answer

$\frac{{{k_1}}}{{JL{s^2} + JRs + {k_1}{k_2}}}$

TuteeHUB · Answer

$\frac{{{k_1} - {U_2}\left( {R + sL} \right)}}{{JL{s^2} + \left( {JR - {U_2}L} \right)s + {k_1}{k_2} - {U_2}R}}$

TuteeHUB · Answer

$\frac{{{k_1} - {U_2}\left( {sL - R} \right)}}{{JL{s^2} - \left( {JR + {U_2}L} \right)s - {k_1}{k_2} + {U_2}R}}$

1.	In the system whose signal flow graph is shown in the figure, U1(s) and U2(s) are inputs. The transfer function \(\frac{{Y\left( s \right)}}{{{U_1}\left( s \right)}}\) is
A.	\(\frac{{{k_1}}}{{JL{s^2} + JRs + {k_1}{k_2}}}\)
B.	\(\frac{{{k_1}}}{{JL{s^2} - JRs - {k_1}{k_2}}}\)
C.	\(\frac{{{k_1} - {U_2}\left( {R + sL} \right)}}{{JL{s^2} + \left( {JR - {U_2}L} \right)s + {k_1}{k_2} - {U_2}R}}\)
D.	\(\frac{{{k_1} - {U_2}\left( {sL - R} \right)}}{{JL{s^2} - \left( {JR + {U_2}L} \right)s - {k_1}{k_2} + {U_2}R}}\)
Answer» B. \(\frac{{{k_1}}}{{JL{s^2} - JRs - {k_1}{k_2}}}\)

In the system whose signal flow graph is shown in the figure, U1(s) and U2(s) are inputs. The transfer function \(\frac{{Y\left( s \right)}}{{{U_1}\left( s \right)}}\) is

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