Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Determine the step response v(t) for t > 0 in the circuit below.

The image illustrates an electrical circuit, which includes various components connected in a loop configuration. - On the left, there are two voltage sources labeled "8 V" and "12 V," positioned in parallel. - A switch is depicted in an open position beside the 12 V voltage source, with a label indicating "t = 0," meaning it is set to close at time t=0. This suggests the circuit's behavior will be assessed at the moment the switch is closed. - At the top center, a resistor with a resistance of "2 Ω" is connected. - Above and below the resistor, the circuit continues on the right side with a capacitor labeled "1/5 F." The voltage across the capacitor is marked with a "+" and "−" sign, and "v" is used to indicate the voltage drop. - Below the capacitor, an inductor with an inductance of "1 H" is present, completing the loop. This circuit can be analyzed for transients, given the switch closure, which typically affects the voltage and current behavior over time.
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Transcribed Image Text:The image illustrates an electrical circuit, which includes various components connected in a loop configuration. - On the left, there are two voltage sources labeled "8 V" and "12 V," positioned in parallel. - A switch is depicted in an open position beside the 12 V voltage source, with a label indicating "t = 0," meaning it is set to close at time t=0. This suggests the circuit's behavior will be assessed at the moment the switch is closed. - At the top center, a resistor with a resistance of "2 Ω" is connected. - Above and below the resistor, the circuit continues on the right side with a capacitor labeled "1/5 F." The voltage across the capacitor is marked with a "+" and "−" sign, and "v" is used to indicate the voltage drop. - Below the capacitor, an inductor with an inductance of "1 H" is present, completing the loop. This circuit can be analyzed for transients, given the switch closure, which typically affects the voltage and current behavior over time.
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Step 1: Stating the given data
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Step 2: Determining the voltage before switching
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Step 3: Determining the current expression in the circuit
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Step 4: step response v(t) for t > 0 in the circuit
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