**Problem 2**Find the expression for the voltage and current of the capacitor as a function of time for the following circuit. Sketch the voltage and current as a function of time.**Circuit Description:**- **Voltage Source:** 12 V- **Capacitor:** 200 μF- **Resistors:** - Four resistors in the circuit, each of 2 kΩ - One 4 kΩ resistor in series with one of the 2 kΩ resistors**Switch:**- The switch is at position \( t = 0 \).**Diagram Explanation:**- The circuit shows a series and parallel combination of resistors arranged with a capacitor.- The 12 V source is connected across the parallel combination of a 200 μF capacitor and a 2 kΩ resistor.- The 4 kΩ resistor is in series with another 2 kΩ resistor, creating a potential divider.- A switch indicates the starting point for \( t = 0 \).**Objective:**- Derive the mathematical expressions for the voltage and current across the capacitor as time progresses after \( t = 0 \).- Create sketches of how the voltage and current vary over time as functions of time.

The voltage and current across the capacitor in the given circuit can be obtained by analysing the…

Answered: Find the expression for the voltage and…

Find the expression for the voltage and current of the capacitor as a function of time for the following circuit. Sketch the voltage and current as a function of time. 121

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...

See similar textbooks

Related questions

Q: 9 calculate the cuanent to cwirg thnough +the 5mH inductoRo () calculate the voltage () the enengy…

A: Given circuit is = Inductor and capacitor has reached to steady state condition that means inductor…

Q: How come you have not taken into consideration the impedance of the inductor in the first part of…

Q: As a capacitor charges, the current through it: rises according to the time constant. lags behind…

A: The question is asking about the behavior of the current through a capacitor as it charges. This…

Q: 4. The capacitor in the figure below has capacitance C = 0.1F. The waveform of the current i flowing…

A: Given, Capacitance (C) = 0.1F We need to determine a) voltage across capacitor v(t) for t>0.…

Q: Whenever current in an inductor changes: Select one: the coil inductance changes. induced voltage…

A: The objective of the question is to understand the behavior of an inductor when the current flowing…

Q: voltage of 34V RMS is applied across a real inductor. The current through the inductor is measured…

Q: 1. A 2F capacitor is connected in series with a diode and a 60 resistor. The voltage of the battery…

Q: 3. For the R-C circuit in below figure, composed of standard values: a. Determine the time constant…

A: As per company guidelines we can solve only first three sub parts kindly post another parts…

Q: Required information Problem 06.037 - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS The current…

A: In this question We need to determine the voltage across the inductor. We know Voltage across…

Q: There is no energy stored in the circuit at the timethe current source is energized.1. a) Find Ia…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: 1. You are an electrician working in an industrial plant. You discover the problem with a certain…

A: Given that: In an industrial plant, a machine has a defective capacitor and its rating is 10 μF and…

Q: Find the voltage across the capacitors

Q: a) What is the maximum current at any time in the circuit? b) Write Equation of capacitor voltage in…

A: A capacitor is an electronic component that stores electrical energy in an electric field. It…

Q: at time zero a 90uF capacitor with an initial charge of 15uC is connected across a 120 ohms…

A: In this question, We need to determine the time if capacitor gets fully discharge. We know time…

Q: 4 μF 252 9) An RC Circuit is shown above. The switch has been in position a for a very long time. a)…

Q: 3. (a) (b) 12 V, is wired to a solenoid with self-inductance, L= 0.44 H, two resistors, R₁ = 162,…

Concept explainers

HVDC

HVDC stands for high voltage direct current in the electric power transmission system. The high voltage direct current system uses direct current (DC) for the transmission of electrical power through transmission lines in contrast with the alternating current that is the AC system. The HVDC is used to transmit bulk power point-to-point through long distances transmission lines. Power is rapidly transferred because the efficiency of transmission lines is greatly increased over long distances due to HVDC lines.

Question

**Problem 2**

Find the expression for the voltage and current of the capacitor as a function of time for the following circuit. Sketch the voltage and current as a function of time.

**Circuit Description:**

- **Voltage Source:** 12 V
- **Capacitor:** 200 μF
- **Resistors:**
- Four resistors in the circuit, each of 2 kΩ
- One 4 kΩ resistor in series with one of the 2 kΩ resistors

**Switch:**

- The switch is at position \( t = 0 \).

**Diagram Explanation:**

- The circuit shows a series and parallel combination of resistors arranged with a capacitor.
- The 12 V source is connected across the parallel combination of a 200 μF capacitor and a 2 kΩ resistor.
- The 4 kΩ resistor is in series with another 2 kΩ resistor, creating a potential divider.
- A switch indicates the starting point for \( t = 0 \).

**Objective:**

- Derive the mathematical expressions for the voltage and current across the capacitor as time progresses after \( t = 0 \).
- Create sketches of how the voltage and current vary over time as functions of time.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

3. For the circuit, (i) Find the voltage vc and the current ic if the capacitor was initially uncharged and the switch is thrown into position A. (ii) Find the voltage vc and the current ic if the switch is thrown into position B. (iii) Plot the waveforms for the questions (i) and (ii) for both the voltage vc and the current ic. Mark the time constant for part (i) and part (ii) in the waveforms with the corresponding values for current and voltage. A ww ic 20 kΩ B + + 12 V Vc. R, •10 kΩ 0.05 μF
What is a capacitor and how do they work? What is it about capacitors that make them unique? What is the formula for one time constant? How many time constants does it take to fully charge a capacitor? Show illustrations. What other electronic component(s) are commonly found with a capacitor…especially in timing circuits? What types of capacitors are there? What are the formulas for series and parallel capacitors? If three 30 uF capacitors were connected in parallel what would the net capacity be? How about the net value if the capacitors in Q7 were connected in series? If you were to connect a 5K-ohm resistor in series as in Q7… what would the first time constant be? What about time to full charge? Describe the difference between AC (alternating current) and DC (direct current). Use illustrations. Why is voltage generated and distributed in AC? What type of circuit(s) would change AC to DC? How about DC to AC?
4. Why do we examine the behavior of an inductor when the current through it is changing? 5. What is the definition of the time constant? The definition of the time constant is I
2. Charging a capacitor through a resistor. The capacitor initially starts with no charge. Refer to the circuit diagram on the right. R = 1800 N C = 225 µF %3D (a). Write down the mathematical expression for the voltage across the capacitor as a function of time. (b). Calculate the time constant for this circuit. (c). Calculate the voltage across the capacitor at the end of 2 time constants. (d). Calculate the electric charge stored in the capacitor at the end of 2 time constants. (e). Explain what happens to the voltage across the capacitor after the time interval t = 5 time constants. (f). Carefully draw a graph of the time dependent behavior of the voltage across the capacitor, and label everything! (g). Calculate the time elapsed when the voltage across the capacitor is equal to the voltage across the resistor. Vps = 10 volts