Answered: а 2 C 2 R u1(t) UC1 İ2 R C u2(t)

Engineering

Electrical Engineering

а 2 C 2 R u1(t) UC1 İ2 R C u2(t)

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter17: Commercial And Industrial Air-conditioning Control Systems

Section: Chapter Questions

Problem 22RQ

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Question

Consider the circuit on the left. DC voltage u₁(t ≥ 0) = U is applied at time t = 0. Both meshes must include the input voltage. At time t = 0, the capacitors are free of energy. The following applies: τ = R*C. Derive the 2nd order differential equation for the capacitor voltage u₂(t).