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The unit used to measure electric current is the ampere (A). Now, assume that th

ID: 1950231 • Letter: T

Question

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

HINT-Recall that sinusoidal functions are periodic; that is, they repeat the same sequence of values over and over again. In particular, if T is the period of a sinusoidal function of time, whatever value this function has at a time t, the function takes the same value again at time t+T, and then again at t+2T, and so forth. In other words, a sinusoidal function of time takes the same value whenever time is increased by a multiple of the period. Use this information to find the period of the current, and note that the current takes the same value ten times in a time interval of 0.17 s.

formula: x=Acos[2(pi)t/T]

Explanation / Answer

T = 0.17/5 = 0.034 Second ( this is because in a single time period maximum value is attained twice.)