Inductor Circuit, separation of variables

Click For Summary
SUMMARY

The discussion centers on solving an inductor circuit problem where the voltage is defined as V(t) = 2000e^(-100t) volts for t > 0. The user calculated the current i0(t) as 5e^(-100t) but received feedback indicating the correct answer is 5e^(-0.1t). The discrepancy arises from the unit conversion of time from seconds to milliseconds, which was not clearly specified in the problem statement. The equivalent inductance was determined to be Leq = 4H.

PREREQUISITES
  • Understanding of inductor circuits and their behavior
  • Knowledge of differential equations and separation of variables
  • Familiarity with unit conversions, particularly time units
  • Proficiency in using software tools for circuit analysis
NEXT STEPS
  • Review the principles of inductor circuits and their equations
  • Study the method of separation of variables in differential equations
  • Learn about unit conversions in electrical engineering contexts
  • Explore software tools for circuit simulation and analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing inductor circuits and solving differential equations related to electrical systems.

ElijahRockers
Gold Member
Messages
260
Reaction score
10

Homework Statement



wOe9V.jpg


V_o varies as V(t) = 2000e^(-100t) volts for t > 0

i1(0) = -6A
i2(0) = 1A
thus
i0(0) = 5A

Find i0(t) for t > 0.

I found Leq = 4H

V(t) = L di/dt

I separated variables and integrated, got 5e^(-100t)

but the software is telling me it's wrong... supposedly the answer is 5e^(-.1t) and I'm not exactly sure how...

thanks

Homework Equations


The Attempt at a Solution

 
Physics news on Phys.org
ElijahRockers said:

I separated variables and integrated, got 5e^(-100t)

but the software is telling me it's wrong... supposedly the answer is 5e^(-.1t) and I'm not exactly sure how...

They change the units of "t" to milliseconds. Their answer should have specified the units if not using SI.
 

Similar threads

Engineering Find di(0+)/dt and dv(0+)/dt of circuit containing resistor, inductor
  • · Replies 3 ·
Replies
3
Views
3K
Engineering Find di/dt and dr/dt for a DC circuit with indepedent current source
  • · Replies 3 ·
Replies
3
Views
4K
Engineering Energy Dissipation by Inductor (RL circuit)
  • · Replies 1 ·
Replies
1
Views
12K
Engineering Current through inductor in a circuit with a sinusoidal voltage source
  • · Replies 2 ·
Replies
2
Views
3K
Engineering V1 = 2V Calculate Voltage, Power in Circuit w/ Inductor at t=>0
  • · Replies 1 ·
Replies
1
Views
2K
How to determine drain-source voltage for this MOSFET amplifier.
  • · Replies 0 ·
Replies
0
Views
2K
Engineering Rate of change of current in an R-L Circuit
  • · Replies 4 ·
Replies
4
Views
6K
Engineering Finding Current in a Parallel RLC Circuit
  • · Replies 7 ·
Replies
7
Views
5K
Engineering The effect of a switch in a Laplace circuit analysis
  • · Replies 7 ·
Replies
7
Views
4K
Engineering Solve RL Circuit Problem: Homework Statement & Equations
  • · Replies 2 ·
Replies
2
Views
2K