Go Back   Physics Help Forum > High School and Pre-University Physics Help > Electricity and Magnetism

Electricity and Magnetism Electricity and Magnetism Physics Help Forum

Reply
 
LinkBack Thread Tools Display Modes
Old Dec 2nd 2015, 11:09 AM   #1
Junior Member
 
Join Date: Dec 2015
Posts: 1
Help With Electrical Problem

Hi, I'm hoping someone would be able to help me with this question. I'm struggling with the mathematics of this question. I'm not sure quite how to go about it.

Last edited by JollyJohn; Dec 4th 2015 at 07:39 AM.
JollyJohn is offline   Reply With Quote
Old Dec 2nd 2015, 11:22 AM   #2
Forum Admin
 
topsquark's Avatar
 
Join Date: Apr 2008
Location: On the dance floor, baby!
Posts: 2,403
Originally Posted by JollyJohn View Post
Hi, I'm hoping someone would be able to help me with this question. I'm struggling with the mathematics of this question. I'm not sure quite how to go about it.

The circuit current (i) in an electrical circuit containing resistance (R) and inductance (L) in series with a constant voltage source (E) is given by the differential equation E-L(di/dt)=Ri (t being time).

Solve the equation and find the circuit current (i) in terms of time (t), given that when t=0, i=0 (boundary condition).


The following are known:
E=VR+VL
VR=iR
VL=L di/dt
E=iR+Ldi/dt

Solution parameters input;
E=1
R=1
L=1
t=0 – 10 s with interval of 0.01s (range for solution)
You have the differential equation: L i'+ R i = E, where L, R, E are constants and i' is the time derivative of i. This is a first order linear differential equation for i(t). There are various ways to solve this, the most popular likely being the use of an integrating factor.

Give it a try and let us know if you need more help.

-Dan
__________________
Do not meddle in the affairs of dragons for you are crunchy and taste good with ketchup.

See the forum rules here.
topsquark is offline   Reply With Quote
Reply

  Physics Help Forum > High School and Pre-University Physics Help > Electricity and Magnetism

Tags
electrical, problem



Thread Tools
Display Modes


Similar Physics Forum Discussions
Thread Thread Starter Forum Replies Last Post
Electrical images method Razvan Advanced Electricity and Magnetism 2 Mar 23rd 2014 09:36 PM
electrical power stealth Energy and Work 2 May 2nd 2010 07:02 AM
DC Electrical Circuit atweed Electricity and Magnetism 1 Mar 6th 2010 03:32 AM
Electrical Ignition system Zubairu Advanced Electricity and Magnetism 0 Oct 23rd 2008 11:58 PM


Facebook Twitter Google+ RSS Feed