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GATE 2014 EC (EC4) – Question 41

Networks, Signals and Systems · Circuit Analysis · 2 marks · Numerical answer

Find v₀(t) as t → ∞ (V) for the circuit shown.

Diagram for GATE 2014 EC (EC4) question 41

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Correct answer: 31.24 to 31.26

Explanation

At DC steady state the inductor is a short, so output voltage v=5ix. The dependent source drop is2ix, leaving3ixacross the middle5Ωresistor. KCL at the top node gives10=ix+(3ix/5), hence ix=6.25Aand **v=31.25V**. The dependent source must remain active during the calculation.