Explanation Given data: The differential equation is, d 2 v o d t 2 + 2 d v o d t + v o = 10 sin 2 t Where initial conditions are v o ( 0 ) = − 6 and v o ' ( 0 ) = 0 . Calculation: Analog computer circuit design: The differential equation can be solved with help of an analog computer circuit that can be designed by using an integrator circuits and summing amplifiers, inverting or non-inverting amplifiers. Simplify the given differential equation as follows. d 2 v o d t 2 = 10 sin 2 t − 2 d v o d t − v o (1) Integrate the equation (1) with respect to “ t ”. ∫ d 2 v o ( τ ) d t 2 = − ∫ 0 t ( − 10 sin 2 τ + 2 d v o ( τ ) d τ + v o ( τ ) ) d τ + v o ' ( 0 ) d v o ( τ ) d t = − ∫ 0 t ( − 10 sin 2 τ + 2 d v o ( τ ) d τ + v o ( τ ) ) d τ { ∵ v o ' ( 0 ) = 0 } (2) That means, ∫ d 2 v o ( τ ) d t 2 = d v o ( τ ) d t Apply the integration to ( d v o ( τ ) d t ) in above equation with respect to “ t ”

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ISBN: 8220102801448

Author: Alexander

Publisher: YUZU

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Chapter 6, Problem 78P

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Design an analog computer circuit to solve the given differential equation.

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Chapter 6 Solutions

EBK FUNDAMENTALS OF ELECTRIC CIRCUITS

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Ch. 6.5 - Calculate the equivalent inductance for the...Ch. 6.5 - In the circuit of Fig. 6.34, i1(t) = 3e2t A. 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Design an analog computer circuit to solve the given differential equation.

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Design an analog computer circuit to solve the given differential equation.

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Chapter 6 Solutions