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If (0) = 5 V, find vo(t) for t> 0 in the op amp circuit. Let R = 10 kQ and C=5 μF. R R R www । <+ + The value of volt) for t> 0 is Ovo ro₁ t/3 u(t) V.

If (0) = 5 V, find vo(t) for t> 0 in the op amp circuit. Let R = 10 kQ and C=5 μF. R R R www । <+ + The value of volt) for t> 0 is Ovo ro₁ t/3 u(t) V.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Problem Statement:** If \( v(0) = 5 \, \text{V} \), find \( v_o(t) \) for \( t > 0 \) in the op amp circuit. Let \( R = 10 \, \text{k}\Omega \) and \( C = 5 \, \mu\text{F} \). **Circuit Diagram:** - The circuit consists of an operational amplifier with a feedback and input resistor configuration. - Three resistors of equal resistance \( R \) are connected in series, with two forming a voltage divider connected to the inverting input of the op amp. - A capacitor \( C \) is connected between the inverting input and the ground. - The output voltage \( v_o \) is taken across the output terminal of the op amp. **Equation:** The value of \( v_o(t) \) for \( t > 0 \) is given by: \[ v_o(t) = \boxed{} \, e^{- \boxed{} \, t/3} \, u(t) \, \text{V} \] The blanks are placeholders for values derived from the calculation based on the given circuit components and initial condition. The exponential function and step function \( u(t) \) represent the behavior of the circuit over time.
Transcribed Image Text:**Problem Statement:** If \( v(0) = 5 \, \text{V} \), find \( v_o(t) \) for \( t > 0 \) in the op amp circuit. Let \( R = 10 \, \text{k}\Omega \) and \( C = 5 \, \mu\text{F} \). **Circuit Diagram:** - The circuit consists of an operational amplifier with a feedback and input resistor configuration. - Three resistors of equal resistance \( R \) are connected in series, with two forming a voltage divider connected to the inverting input of the op amp. - A capacitor \( C \) is connected between the inverting input and the ground. - The output voltage \( v_o \) is taken across the output terminal of the op amp. **Equation:** The value of \( v_o(t) \) for \( t > 0 \) is given by: \[ v_o(t) = \boxed{} \, e^{- \boxed{} \, t/3} \, u(t) \, \text{V} \] The blanks are placeholders for values derived from the calculation based on the given circuit components and initial condition. The exponential function and step function \( u(t) \) represent the behavior of the circuit over time.
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