Household Electricity Is Supplied in the Form of Alternating Current $[E(t)]^{2}$

question 102

Short Answer

Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the function E(t), where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of $[E(t)]^{2}$ over one cycle. Calculate the RMS voltage of household current. Round your answer to the nearest integer. $E(t)=230 \sin (120 \pi t)$

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Definitions:

Inhibited Growth

A reduction in the normal rate of cellular or organismal growth, often caused by environmental factors or genetic conditions.

Apical Meristem

A growth region in plants located at the tips of roots and shoots where cells divide, leading to growth.

Vascular Cambium

In plants, lateral meristem that produces secondary phloem and secondary xylem.

Cork Cambium

Lateral meristem that produces cork.