Calculating t1: Current Through an Inductor

  • Thread starter Thread starter dancingmonkey
  • Start date Start date
  • Tags Tags
    Current Inductor
Click For Summary
SUMMARY

The discussion focuses on calculating the time t1 when the current through an inductor in a circuit becomes zero after the switch is opened. Given the circuit parameters of R = 60 Ohms, L = 5 mH, C = 40 microFarads, and an initial voltage e = 120 V, the correct answer for t1 is determined to be 0.70 ms. The problem assumes a series RLC configuration, which is crucial for solving the equation governing the inductor's behavior.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with inductors and their behavior in circuits
  • Knowledge of time constant calculations in electrical circuits
  • Ability to apply differential equations to circuit analysis
NEXT STEPS
  • Study the behavior of series RLC circuits under transient conditions
  • Learn how to derive the time constant for RL and RC circuits
  • Explore the application of Kirchhoff's laws in circuit analysis
  • Investigate the use of simulation tools like LTspice for circuit behavior visualization
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in analyzing transient responses in RLC circuits.

dancingmonkey
Messages
11
Reaction score
0

Homework Statement


The circuit parameters are: R = 60 Ohms, L = 5 mH, C = 40 microFarads, and e= 120 V. Initially the switch has been closed for a long time. At t=0 the switch is opened.

What is t1, the first time greater than or equal to 0, that the current through the inductor is equal to zero?

a)t1=0
b)t1=2.11 ms
c)t1=0.70 ms

Homework Equations





The Attempt at a Solution



I really have no idea how to go about this question. Can someone help please?
 
Physics news on Phys.org
EDIT: if you read what I wrote about arcing - it was wrong. There would be no arcing in this case. It's a very simple situation.

Except for the part about the description of the circuit. It didn't specify the configuration. Had it said "series RLC" that would have been different. I am still assuming that's what's intended.
 
Last edited:

Similar threads

  • · Replies 2 ·
Replies
2
Views
932
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K
Replies
152
Views
8K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 52 ·
2
Replies
52
Views
13K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
34
Views
7K