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This homework deals with RL, RC, and RLC circuits, so not every problem has all three components. Electromotive force is the same as the voltage difference across the terminals of a battery. When you see electromotive force, think E(t). a) A circuit has an inductor with inductance 0.2 Henries in series with a 10 Ohm resistor. The voltage source provides a constant electromotive force of 40 V. Initially, there is no current in the circuit. Find the current in the circuit after t seconds. b) Consider the same circuit as in part (a) except the inductor is taken out and replaced with a capacitor of 0.0002 farads. Initially, there is no charge on the capacitor. Find the charge on the capacitor after t seconds.

This homework deals with RL, RC, and RLC circuits, so not every problem has all three components. Electromotive force is the same as the voltage difference across the terminals of a battery. When you see electromotive force, think E(t). a) A circuit has an inductor with inductance 0.2 Henries in series with a 10 Ohm resistor. The voltage source provides a constant electromotive force of 40 V. Initially, there is no current in the circuit. Find the current in the circuit after t seconds. b) Consider the same circuit as in part (a) except the inductor is taken out and replaced with a capacitor of 0.0002 farads. Initially, there is no charge on the capacitor. Find the charge on the capacitor after t seconds.

Introductory Circuit Analysis (13th Edition)
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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d) Finally, consider the circuit from (c) with an electromotive force given by E( t) 100sin(200t)
Find the steady-state current after t seconds.

please answer a-d

### Educational Content: Analyzing RL and RC Circuits #### Points This homework explores RL, RC, and RLC circuits, though not every problem contains all three components. The electromotive force (EMF) is equivalent to the voltage difference across the terminals of a battery. When you see electromotive force, think \( E(t) \). #### Problems **a)** A circuit has an inductor with an inductance of 0.2 Henries in series with a 10 Ohm resistor. The voltage source provides a constant electromotive force of 40 V. Initially, there is no current in the circuit. Find the current in the circuit after \( t \) seconds. **b)** Consider the same circuit as in part (a) except the inductor is replaced with a capacitor of 0.0002 farads. Initially, there is no charge on the capacitor. Find the charge on the capacitor after \( t \) seconds.
Transcribed Image Text:### Educational Content: Analyzing RL and RC Circuits #### Points This homework explores RL, RC, and RLC circuits, though not every problem contains all three components. The electromotive force (EMF) is equivalent to the voltage difference across the terminals of a battery. When you see electromotive force, think \( E(t) \). #### Problems **a)** A circuit has an inductor with an inductance of 0.2 Henries in series with a 10 Ohm resistor. The voltage source provides a constant electromotive force of 40 V. Initially, there is no current in the circuit. Find the current in the circuit after \( t \) seconds. **b)** Consider the same circuit as in part (a) except the inductor is replaced with a capacitor of 0.0002 farads. Initially, there is no charge on the capacitor. Find the charge on the capacitor after \( t \) seconds.
**Problem Statement:** Consider the same circuit as (a) and (b) except now it has BOTH the inductor of 0.2 Henries AND the capacitor of 0.0002 farads in series with the 10 Ohm resistor. Initially, there is no charge on the capacitor and no current in the circuit. Find the current after \( t \) seconds. --- **Explanation:** This problem involves analyzing an RLC series circuit which includes a resistor (10 Ohms), an inductor (0.2 Henries), and a capacitor (0.0002 farads). Initially, the circuit is at a rest state with no charge or current. The goal is to determine the current flowing through the circuit at any given time \( t \). An RLC circuit such as this one is described by second-order differential equations, often leading to oscillatory behavior depending on the damping factor. These types of circuits are crucial in understanding resonance and frequency response in electrical systems.
Transcribed Image Text:**Problem Statement:** Consider the same circuit as (a) and (b) except now it has BOTH the inductor of 0.2 Henries AND the capacitor of 0.0002 farads in series with the 10 Ohm resistor. Initially, there is no charge on the capacitor and no current in the circuit. Find the current after \( t \) seconds. --- **Explanation:** This problem involves analyzing an RLC series circuit which includes a resistor (10 Ohms), an inductor (0.2 Henries), and a capacitor (0.0002 farads). Initially, the circuit is at a rest state with no charge or current. The goal is to determine the current flowing through the circuit at any given time \( t \). An RLC circuit such as this one is described by second-order differential equations, often leading to oscillatory behavior depending on the damping factor. These types of circuits are crucial in understanding resonance and frequency response in electrical systems.
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