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Old Dec 2nd 2015, 12:09 PM   #1
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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 08:39 AM.
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Old Dec 2nd 2015, 12:22 PM   #2
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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
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