Solve the Problem $\mathrm { L } \frac { \mathrm { di } } { \mathrm { dt } } + \mathrm { Ri } = 0$

question 70

Multiple Choice

Solve the problem.
-If the switch is thrown open after the current in an RL circuit has built up to its steady-state value, the decaying current obeys the equation $\mathrm { L } \frac { \mathrm { di } } { \mathrm { dt } } + \mathrm { Ri } = 0$ . How long after the switch is thrown open will it take the current to fall to $35 \%$ of its original value?

• A) -4.60 L/R seconds
• B) -4.40 L/R seconds
• C) 1.25 L/R seconds
• D) 1.05 L/R seconds

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Definitions:

Meatus

A natural passage or canal in the body, especially one that leads to the exterior, such as the auditory canal.

Central Canal

The fluid-filled space running longitudinally through the spine's center, surrounded by the spinal cord.

Facet

A smooth, flat surface on a bone, typically where two bones articulate (form a joint), allowing for movement.