Question
Asked Oct 24, 2019

Textbook Problem

v()
Given v1 (t) 10sin(270t) V, Ri
Derive the complete solution for i(t) for t> 0
2802, L1 4.5H
mA help (formulas)
i(t)
Hint: The particular solution is of the form Acos(270t) + Bsin(270t).
help_outline

Image Transcriptionclose

v() Given v1 (t) 10sin(270t) V, Ri Derive the complete solution for i(t) for t> 0 2802, L1 4.5H mA help (formulas) i(t) Hint: The particular solution is of the form Acos(270t) + Bsin(270t).

fullscreen
check_circleExpert Solution
Step 1

The given circuit is a series R-L circuit. Expression of current is as follows,

t)1()+1, (t)
I (t)= steady state current
I (t)transientcurrent
help_outline

Image Transcriptionclose

t)1()+1, (t) I (t)= steady state current I (t)transientcurrent

fullscreen
Step 2

Steady-state current is equal to the particular solution of the differential equation.

The transient current is equal to the complementary solution of the differential equation.

fullscreen
Step 3

The solution is of...

i(t)=sin(t¢)+ Ae
(1)
z RjoL
21=-NR2 +(L)
= tan
LL
help_outline

Image Transcriptionclose

i(t)=sin(t¢)+ Ae (1) z RjoL 21=-NR2 +(L) = tan LL

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Engineering

Electrical Engineering

Related Electrical Engineering Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: I am not sure how to do the nodal analysis on this problem.

A: The given circuit is

question_answer

Q: In the circuit of Figure 5, the AC voltage source has an resistors have the values given in Table 1....

A: Synthesized frequency generator- A frequency synthesizer is an electronic circuit that generates a r...

question_answer

Q: The minimum clearance for service drops not exceeding 600 V that pass over commercial area subject t...

A: To find the minimum clearance for service drop not exceeding 600 V that pass over commercial area su...

question_answer

Q: Airframe Electrical System Question: What are the two types of wire installation method. (Source: FA...

A: The two types of wire installation method are :Open WiringWire Groups and Bundles 

question_answer

Q: For a discrete time LTI system, the transfer function is H(z)=4z2/(z-1)(z-2)(z-3), |z|>3. Estimat...

A: The problem can be solved using partial fraction expansion method. Using this method, the given tran...

question_answer

Q: A 200 km, 3-phase transmission line has its conductors placed at the corners of an equilateral trian...

A: (i)  The line to neutral capacitanceGiven values: -The radius of each conductor is given as r = 1 cm...

question_answer

Q: For a continuous time LTI system, the output is given as Y(s)=10(2s+3)/(s2+4s+5).  Find out the fina...

A: Using final value theorem of Laplace transform, for any function y(t), the following equation can be...

question_answer

Q: Airframe Electrical System Question: In general, describe and draw the construction of shielded elec...

A: Three phase solid phase insulated cables are classified into two types.Belted type electrical cable ...

question_answer

Q: In the following circuit, use either differential equation approach or the shortcut method to find i...

A:  The current i0(t) is to be calculated in the following circuit: -