# Accession Number:

## ADA574982

# Title:

## Double-Exponential LR Circuit

# Descriptive Note:

## Journal article

# Corporate Author:

## NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS

# Personal Author(s):

# Report Date:

## 2005-11-01

# Pagination or Media Count:

## 6.0

# Abstract:

Simple LR and RC circuits are familiar to generations of physics students as examples of single-exponential growth and decay in the relevant voltages, currents, and charges. An element of novelty can be introduced by connecting two instead of one LR coils in parallel with a battery. The resulting circuit can still be treated using little more than the basic tools Kirchhoff s rules plus a trial exponential solution employed in the standard LR analysis. But the solution is now a double exponential, as can be verified by constructing such a circuit. Consider a circuit consisting of two inductors L1 and L2, one battery epsilon, one switch S, and three resistors R1 through R3. Assume the currents in the circuit have reached their steady-state values with switch S open. The switch is then closed at t 0. The problem is to find the subsequent currents in the circuit as a function of time.

# Descriptors:

# Subject Categories:

- Electrical and Electronic Equipment
- Operations Research
- Electricity and Magnetism