**Text Transcription:**Consider the circuit shown below, in which the switch instantaneously moves back and forth between contacts A and B, spending 2 seconds in each position. Thus, the capacitor repeatedly charges for 2 seconds and then discharges for 2 seconds. Assume that \( v_C(0) = 0 \, V \) and the switch moves to position A at \( t = 0 \, s \).**Circuit Diagram Description:**- **Power Supply:** - A 10 V DC power source is connected with its positive terminal at the top and negative terminal grounded.- **Switch:** - A switch capable of toggling between two positions, A and B. - Initially at position A at \( t = 0 \, s \).- **Resistors:** - Connected between the switch contacts and the capacitor. - When the switch is at position A, the circuit includes a 1 MΩ resistor. - When the switch is at position B, a 3 MΩ resistor is part of the circuit.- **Capacitor:** - A 1 µF capacitor is connected in parallel to the ground. - Voltage across the capacitor is labeled \( v_C \).- **Circuit Operation:** - When the switch is in position A, the 1 MΩ resistor allows the capacitor to charge. - When the switch toggles to position B, the 3 MΩ resistor enables the capacitor to discharge. - This process repeats every 2 seconds. **Problem Statement:**Find the voltage across the capacitor \( v_C \) for:a) \( t = 2 \, \text{s} \) b) \( t = 4 \, \text{s} \) c) \( t = 6 \, \text{s} \) d) \( t = 8 \, \text{s} \)**Task:**Sketch \( v_C \) to scale versus time over the range \( -2 < t < 8 \, \text{s} \).

Capacitor voltage equation is Vc=Vc(∞) +(Vc(initial)-Vc(∞))e-tΓVc(∞)…

Answered: Find the voltage across the capacitor…

Find the voltage across the capacitor vc for: a) t=2 s b) t = 4 s c) t= 6 s d) t= 8 s Sketch vc to scale versus time over the range –2

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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