Engineering Inductor Circuit, separation of variables

AI Thread Summary
The problem involves finding the current i0(t) for an inductor circuit with a voltage function V(t) = 2000e^(-100t) volts and initial currents i1(0) = -6A and i2(0) = 1A, leading to i0(0) = 5A. The user calculated the equivalent inductance as Leq = 4H and attempted to solve the differential equation by separating variables, resulting in the expression 5e^(-100t). However, the software indicates the correct answer is 5e^(-0.1t), prompting confusion. The discrepancy arises from the need to convert time units to milliseconds, which affects the exponent in the solution. Proper unit specification is crucial for accurate results in such calculations.
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
Views
3K
Engineering Find di/dt and dr/dt for a DC circuit with indepedent current source
Replies
3
Views
4K
Engineering Energy Dissipation by Inductor (RL circuit)
Replies
1
Views
12K
Engineering Current through inductor in a circuit with a sinusoidal voltage source
Replies
2
Views
2K
Engineering V1 = 2V Calculate Voltage, Power in Circuit w/ Inductor at t=>0
Replies
1
Views
2K
How to determine drain-source voltage for this MOSFET amplifier.
Replies
0
Views
2K
Engineering Rate of change of current in an R-L Circuit
Replies
4
Views
6K
Engineering Finding Current in a Parallel RLC Circuit
Replies
7
Views
5K
Engineering The effect of a switch in a Laplace circuit analysis
Replies
7
Views
4K
Engineering Solve RL Circuit Problem: Homework Statement & Equations
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top