Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Sinusoidal relationships are used in many situations to describe how certain phy

ID: 2145880 • Letter: S

Question

Sinusoidal relationships are used in many situations to describe how certain physical quantities change with time. For example, the electric current delivered to your household by your local electric-power distributor is a varying current that changes with time as a sinusoidal function: i=Icos(2pi t/T) , for a constant I.

The unit used to measure electric current is the ampere ( m A). Now, assume that the current delivered at a wall socket reaches the value 3.8 m A ten times in a time interval of 0.17 m s. What is the period T with which the current at the wall socket changes? Please how steps.

Explanation / Answer

No. of maxima=No.of time periods in the given duration.=10

Time period=Time for n maxima/No. of maxima=0.17/10=0.0.017s