Why is there no current in the right loop of this circuit?

  • Thread starter Thread starter flyingpig
  • Start date Start date
  • Tags Tags
    Current
Click For Summary
SUMMARY

The discussion centers on the absence of current in the right loop of a circuit involving an inductor, as outlined in problem 2 of the AP Physics C exam. The key reason is that the current through an inductor is defined by the integral of voltage over time, specifically expressed as i = ∫(v(t)/L) dt + i(t_0). At the moment the switch S closes, the initial current i(t_0) is zero because the switch was previously open, resulting in no current flowing through the right loop immediately after the switch is closed.

PREREQUISITES
  • Understanding of basic circuit theory
  • Familiarity with inductors and their behavior in circuits
  • Knowledge of calculus, specifically integration
  • Ability to interpret physics problems from standardized tests
NEXT STEPS
  • Study the principles of inductance and its effects on circuit behavior
  • Learn about the time constant in RL circuits
  • Explore the application of Kirchhoff's laws in circuit analysis
  • Review calculus concepts related to integrals and their physical interpretations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone preparing for AP Physics exams, particularly those focusing on electromagnetism and circuit analysis.

Physics news on Phys.org
Because for any inductor the current is an integral:
[tex]i = \int_{t_0}^{t}\frac{v(t)}{L}\ dt + i(t_0)[/tex]

Immediately after the switch S closes mean that [tex]t = t_0[/tex], so the current is zero.

[tex]i(t_0)[/tex] is zero since before that moment the switch was open.
 
I don't understand still...
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
10K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 8 ·
Replies
8
Views
8K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 13 ·
Replies
13
Views
42K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 13 ·
Replies
13
Views
1K