In the below figure, output C1 due to R1 and R2 is given by:

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MPPKVVCL Indore JE Electrical 21 August 2018 Official Paper
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Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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Concept:

According to Mason’s gain formula, the transfer function is given by

Where, n = no of forward paths

Mk = kth forward path gain

Δk = 1 - Sum of the loop that exists after removal of the kth forward path + sum of the gain product of two non-touching loops

Δ = 1 – (sum of the loop gains) + (sum of the gain product of two non-touching loops) – (sum of the gain product of three non-touching loops)

Calculation

While calculating output C1 due to R1 and R2 , keep C2 = 0

The forward path from R1 to C1 is:

The forward path from R2 to C1 is:

Self-loop gain:

Hence, the correct answer is option 1.

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