The Current I (In Amperes) When 100 Volts Is Applied $I = 5 e ^ { - 2 t } \sin t$

question 34

Multiple Choice

The current I (in amperes) when 100 volts is applied to a circuit is given by $I = 5 e ^ { - 2 t } \sin t$ where $t$ is the time (in seconds) after the voltage is applied. Approximate the current at $t = 0.6$ second after the voltage is applied. Round your answer to two decimal places.

• A) \(I ( 0.6 ) \approx 0.75\) ampere
• B) \(I ( 0.6 ) \approx 0.85\) ampere
• C) \(I ( 0.6 ) \approx 1.05\) ampere
• D) \(I ( 0.6 ) \approx 0.65\) ampere
• E) \(I ( 0.6 ) \approx 0.95\) ampere

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Definitions:

Average Run Length

This is a statistical term used to describe the average number of trials until a specified event occurs.

Control Limits

Defined in statistical quality control, control limits are the bounds within which a process metric is considered to be in a state of statistical control, beyond which indicates a potential issue needing investigation.

Standard Errors

Measures of the variability or spread of sampling distribution estimates, indicating how much sample means differ from the true population mean.

Sample Mean

The average of a set of numerical values.