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:

Known Values

Refers to parameters or factors in an equation or scenario that are already specified or determined.

Expected Values

The predicted average of all possible outcomes of a random variable, weighted by their probabilities.

Weighted Average

A calculation that takes into account the varying degrees of importance of the numbers in a data set.

Mean Values

Statistical measures representing the average value in a set of data, calculated by summing all observations and dividing by the number of observations.