प्रणाली में जिसका सिग्नल प्रवाह ग्राफ चित्र में दिखाया गया है, U1(s) और U2(s) इनपुट हैं। अंतरण फलन Y(s)U1(s) कितना होगा?

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  1. k1JLs2+JRs+k1k2
  2. k1JLs2JRsk1k2
  3. k1U2(R+sL)JLs2+(JRU2L)s+k1k2U2R
  4. k1U2(sLR)JLs2(JR+U2L)sk1k2+U2R

Answer (Detailed Solution Below)

Option 1 : k1JLs2+JRs+k1k2
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Detailed Solution

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u1(s) से Y(s) तक अग्र पथों की संख्या निम्न हैं:

P1=(1)(1L)(1S)(K1)(1J)(1S)(1)=K1JLS2

पाशों की संख्या निम्न हैं:

L1=(1L)(1S)(R)=RSL

L2=(1L)(1s)(K1)(1J)(1S)(K2)=K1K2JLS2

Δ=1(L1+L2)=1+RSL+K1K2JLS2

मेसन के लाभ सूत्र से:

अंतरण फलन=K=1nPKΔKΔ

=K1JLS2(1)1+RSL+K1K2JLS2

Y(s)U1(s)=K1JLS2+JRS+K1K2
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